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# Fruity Brain Teaser? Math Problem With Apples, Bananas, Coconuts Is Harder Than It Looks
A tricky brain teaser filled with pictures of apples, bananas, and coconuts has recently been stumping quite a few people on Facebook.
At first glance, it may seem as if the answers are easy giveaways — especially when you focu... |
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## MAP Recommended Practice
### Course: MAP Recommended Practice>Unit 26
Lesson 1: Volume with un... |
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Interactive Math Goodies Software
Ordering Decimals Unit 12 > Lesson 4 of 12
Example 1: The Glosser Family drove to a gasoline station in their neighborhood. The station has three gas pumps, each marked in price per gallon. Which pump has... |
# How do you find (dy)/(dx) given y+y^3=x^2?
Feb 24, 2017
$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{2 x}{1 + 3 {y}^{2}}$
#### Explanation:
When we differentiate $y$ wrt $x$ we get $\frac{\mathrm{dy}}{\mathrm{dx}}$.
However, we cannot differentiate a non implicit function of $y$ wrt $x$. But if we apply the chain ru... |
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# Subtraction of Decimals
## What is Decimal Subtraction?
Last updated date: 19th Mar 2023
•
Total views: 61.2k
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Views today: 1.41k
Decimal subtraction is like the standard deduction of entire numbers. We simply have to put the decimal numbers... |
University Physics Volume 1
# 10.6Torque
## Learning Objectives
By the end of this section, you will be able to:
• Describe how the magnitude of a torque depends on the magnitude of the lever arm and the angle the force vector makes with the lever arm
• Determine the sign (positive or negative) of a torque using th... |
# 6.7 Integer exponents and scientific notation
Page 1 / 10
By the end of this section, you will be able to:
• Use the definition of a negative exponent
• Simplify expressions with integer exponents
• Convert from decimal notation to scientific notation
• Convert scientific notation to decimal form
• Multiply and div... |
# CBSE Class 12 Maths Board Exam 2022: Important 4 marks questions
Important 4 marks questions for CBSE Class 12 Maths subject are provided here for students. The questions are prepared as per new latest exam pattern and syllabus (2021-2022). The Central Board of Secondary Education CBSE) provides students of class 12... |
# If f(x)= cos(-2 x -1) and g(x) = 4x^2 -5 , how do you differentiate f(g(x)) using the chain rule?
Mar 18, 2016
$\frac{\mathrm{df}}{\mathrm{dx}} = - 16 x \sin \left(8 {x}^{2} - 9\right)$
#### Explanation:
Note that $\cos \left(- 2 x - 1\right) = \cos \left(2 x + 1\right)$ as $\cos \left(- \theta\right) = \cos \t... |
How do you evaluate \frac { 3x - 21} { 6x - 42}?
Sep 15, 2017
$\frac{1}{2}$
Explanation:
Notice that the denominator is two times the numerator.
Even if you don't notice that, you should notice that you can factor out a 2 from the denominator:
$\frac{3 x - 21}{6 x - 42} = \frac{3 x - 21}{2 \left(3 x - 21\right)}$... |
# The Meaning Of Fractions
Fractions can often be a source of frustration starting in elementary school. Many times this is because children have not previously been taught algorithms and procedures correctly. They may often confuse methods with others they have learned for whole numbers or have simply not practiced f... |
What is the coefficient matrix of the system of equations?
What is the coefficient matrix of the system of equations?
In linear algebra, a coefficient matrix is a matrix consisting of the coefficients of the variables in a set of linear equations. The matrix is used in solving systems of linear equations.
What is co... |
The distinct factors of 162 are the numbers which when multiplied in pairs give the product together 162. There room in full 8 components of 162. These determinants of 162 can also be integers, together we have the right to have an adverse factors that 162 together well. The number 162 is an even composite number, that... |
Introductory Statistics
# Practice
## 13.1One-Way ANOVA
Use the following information to answer the next five exercises. There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
1.
Write one assumption.
2.
Write another assumption.
3.
Write a third assump... |
# 6.2 Using the normal distribution (Page 4/25)
Page 4 / 25
## References
“Naegele’s rule.” Wikipedia. Available online at http://en.wikipedia.org/wiki/Naegele's_rule (accessed May 14, 2013).
“403: NUMMI.” Chicago Public Media&Ira Glass, 2013. Available online at http://www.thisamericanlife.org/radio-archives/epi... |
Indeterminations zero for infinity, infinite-infinite and 1 raised to infinity
# Indeterminations zero for infinity, infinity minus infinity and 1 raised to infinity
Now I will explain how to calculate limits with indeterminations zero for infinity, infinity minus infinity and 1 raised to infinity. We will see it i... |
# Objective Graph and solve systems of linear inequalities in two variables. A system of linear inequalities is a set of two or more linear inequalities.
## Presentation on theme: "Objective Graph and solve systems of linear inequalities in two variables. A system of linear inequalities is a set of two or more linear ... |
# Equilateral triangle
Equilateral triangle
In geometry, an equilateral triangle is a triangle in which all three sides have equal lengths. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also equal to each other and are each 60°. They are reg... |
1. ## Divisibility...
Show that if integers a and b both are not divisible by 5, then the product ab is also not divisible by 5....where a=5k+r such as (1 <= r <= 4)
2. Originally Posted by Vedicmaths
Show that if integers a and b both are not divisible by 5, then the product ab is also not divisible by 5....where a=... |
## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
$-\dfrac{5}{4}\lt x \lt \dfrac{5}{2}$
$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given, $-15\lt -4x-5\lt0 .$ Then graph the solution set. In the graph, a hollowed dot is used for $\lt$ or $\gt.$ A solid dot... |
# Nine-point center
(Redirected from Nine-point centre)
A triangle showing its circumcircle and circumcenter (black), altitudes and orthocenter (red), and nine-point circle and nine-point center (blue)
In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does no... |
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• Related Books
0 answersPost by hani shuman on April 4 at 05:44:51 PM
Angles of a Triangle
• All triangles have three angles, and the three angles in a triangle add up to 180 degrees
Angles of a Triangle
Lecture Slides ... |
# Multiplying fractions – showing why
It was a long time ago, so I can’t be certain, but when I first learned to multiply fractions, it was a procedure that involved turning mixed numbers into improper fractions, multiplying numerators and denominators with maybe some cancelling down along the way. It was a procedure ... |
# Proofs of the Product Rule of Derivatives
The Product Rule is one of the most helpful tools in Differential Calculus (or Calculus I) to derive two functions that are being multiplied. It can be used along with any existing types of functions as long as multiplication operations are present within the given derivatio... |
# A Jacked-Up House
Here's your nightly math! Just 5 quick minutes of number fun for kids and parents at home. Read a cool fun fact, followed by math riddles at different levels so everyone can jump in. Your kids will love you for it.
# A Jacked-Up House
September 18, 2014
Have you ever tried to build a house of ca... |
# How To Find The Inverse Of A 2×2 Matrix?
## How do you find the inverse of a matrix?
Algebra – Finding the Inverse of a Matrix (1 of 2) A 3X3 Matrix
## Do all 2×2 matrices have an inverse?
A . Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse... |
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The diagram is a paper of micrometer screw gauge. What is the reading shown? Assume the pitch is $0.5mm$ A. $4.01mm$ B. $4.51mm$ C. $5.00mm$ D. None of these
Last updated date: 18th Sep 2024
Total views: 387.6k
Views today: 10.87k
Verified
387.6k... |
## MATHEMATICS 10-3
[C] Communication
[CN] Connections
[ME] Mental Mathematics
and Estimation
[PS] Problem Solving
[R] Reasoning
[T] Technology
[V] Visualization
### Geometry
General Outcome: Develop algebraic and graphical reasoning through the study of relations.
Specific Outcomes: It is expected that students w... |
# Finding Trigonometric Ratios04:29 minutes
Video Transcript
## TranscriptFinding Trigonometric Ratios
Let me tell you a tail of the Pharaoh SOH-CAH-TOA. To honor Pharaoh SOH-CAH-TOA, a huge PURR-amid...pyramid was constructed. The pharaoh, who is paw-sitively crazy for cats, ordered a pyramid from the pyramid-build... |
Section1.2
# Section1.2 - Increasing A function is increasing on an...
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Unformatted text preview: Increasing A function is increasing on an interval I if F (x1 ) < f (x2 ) whenever... |
# Chapter 7 - Section 7.7 - Complex Numbers - 7.7 Exercises: 55
$-9+40i$
#### Work Step by Step
$\bf{\text{Solution Outline:}}$ To simplify the given expression, $(4+5i)^2 ,$ use the special product on squaring binomials. Then use $i^2=-1$ and combine like terms. $\bf{\text{Solution Details:}}$ Using the square of a... |
# What do the interior angles of a polygon have to add up to?
Nov 24, 2016
See below.
#### Explanation:
The sum of interior angles of a polygon is equal to
$A = \left(\frac{\pi}{2}\right) n$
where $n$ is the number of triangles needed to compose the polygon.
Occours that the number of triangles is equal to the n... |
You are on page 1of 5
# Module 3: Mathematics Solution4: d / product of times = difference in speed /
difference in time
Let the initial time = T hour
Part A: TIME AND Then the new time = [ T+2(1/2)] hour
=> 600/T(T+5/2) = 12/(5/2)
DISTANCE
=> T(T+5/2) = 125 => T = 10
:. The required time = 10+2(1/2) = 12(1/2) hours
... |
# Theorem – There is one and only one circle passing through three given non-collinear points | Class 9 Maths
Last Updated : 06 May, 2021
### Theorem Statement: There is one and only one circle passing through three given non-collinear points.
Required Diagram:
Given: Three non-collinear points P, Q, and R.
To Pro... |
# Factors of 1085
Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, and 1085
#### How to find factors of a number
1. Find factors of 1085 using Division Method 2. Find factors of 1085 using Prime Factorization 3. Find factors of 1085 in Pairs 4. How can factors be defined? 5. Frequently asked questions 6. ... |
# Ratios
### Ratios
What are two-term and three term ratios? After watching this lesson, you will be able to answer this question by writing ratios in the lowest terms as well as in fraction and percent form. Practice your understanding by doing some real-life word questions too.
#### Lessons
In this lesson, we wil... |
# Modeling with Linear Functions by hcj
VIEWS: 36 PAGES: 4
• pg 1
``` Name: ____________________________________ Date: _________________
Modeling with Linear Functions
Algebra 1A
We have learned that slope is used to describe real life rates of change. We also know that the y-... |
We think you are located in South Africa. Is this correct?
# Chapter 7: Measurement
• Use paper or cardboard for the net of solids to help learners see the different heights, particularly perpendicular and slanted heights.
• Units are compulsory when working with real life contexts.
• Sketches are valuable and import... |
# Zone or Frustum of a Sphere
The portion of a sphere intercepted between two parallel planes is called a zone (i.e. a frustum).
(i) The volume of the zone (or frustum) of a sphere may be found by taking the difference between segment $EBD$ and the segment $ABC$ (see figure), that is:
Where $h$ is the altitude, and ... |
Multiplying polynomials
Multiplying polynomials is easy enough, but it can get a bit messy. Especially when dealing with a few variables. But if you know what you are doing, you will manage quite nicely. So let us get down to business.
There is a simple logic behind multiplying polynomials – just multiply every term ... |
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# Difference of two
squares
## In mathematics, the difference of two
squares is a squared (multiplied by itself)
number subtracted from another squared
number. Every difference of squares may
be factored according to the identity
in elementary algebra.
Proof
Proof
The proof of the factoriz... |
# Evaluating the sum of geometric series
Possible Duplicate:
Value of $\sum\limits_n x^n$
I’m trying to understand how to evaluate the following series:
$$\sum_{n=0}^\infty {\frac{18}{3^n}}.$$
I tried following this Wikipedia Article without much success. Mathematica outputs 27 for the sum.
If someone would be kind... |
# The math tutor recommends a little light factoring on this beautiful Sunday morning….
Last post I discussed common factor, which we will be using in concert with difference of squares. Difference of squares factors x2 – 36 into (x + 6)(x – 6). By the foil method you can confirm:
F: x*x=x2
O: x*-6=-6x
I: 6*x=6x
L... |
The Number of Elements in a Left (Right) Coset
# The Number of Elements in a Left (Right) Coset
Recall from the Left and Right Cosets of Subgroups page that if $(G, \cdot)$ is a group, $(H, \cdot)$ is a subgroup, and $g \in G$ then the left coset of $H$ with representative $g$ is defined as:
(1)
\begin{align} \quad ... |
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# Multiplication of Rational Numbers
Multiply fractions: multiply straight across
%
Progress
Practice Multiplication of Rational Numbers
Progress
%
Multiplication of Real Numbers
Jacob received tips of $4.00 each from three of his paper route customers. How... |
# GMAT Tip: Strategies for Data Sufficiency Questions
This tip on improving your GMAT score was provided by Vivian Kerr at Veritas Prep.
Data Sufficiency is a unique question type and has the potential to look quite abstract, but as you’ll see, half the battle is making these questions concrete. These two strategies ... |
Become a math whiz with AI Tutoring, Practice Questions & more.
HotmathMath Homework. Do It Faster, Learn It Better.
# Difference of Squares
The difference of squares formula is one of the primary algebraic formulas used to expand a term in the form of $\left({a}^{2}-{b}^{2}\right)$ . Basically, it is an algebraic f... |
# How do you factor 2d² +d -21?
Jun 8, 2015
$2 {d}^{2} + d - 21$
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like $a {d}^{2} + b d + c$, we need to think of 2 numbers such that:
${N}_{1} \cdot {N}_{2} = a \cdot c = 2 \cdot - 21 = - 42$
a... |
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### Course: 6th grade>Unit 11
Lesson 5: Mean and median challenge problems
# Mean as the balancin... |
# Chapter 5 - Polynomials and Factoring - 5.3 Factoring Trinomials of the Type ax2+bx+c - 5.3 Exercise Set - Page 326: 53
$-(3x+5)(3x+1)$
#### Work Step by Step
Factoring the negative $GCF= -1 ,$ the given expression is equivalent to \begin{array}{l}\require{cancel} -9x^2-18x-5 \\\\= -(9x^2+18x+5) .\end{array} Using... |
## Fractal Basics
### Learning Outcomes
• Define and identify self-similarity in geometric shapes, plants, and geological formations
• Generate a fractal shape given an initiator and a generator
• Scale a geometric object by a specific scaling factor using the scaling dimension relation
• Determine the fractal dimens... |
# Precalculus : Evaluating Trig Functions
## Example Questions
← Previous 1
### Example Question #1 : Evaluating Trig Functions
Find the value of to the nearest tenth if and .
Explanation:
Rewrite in terms of sine and cosine.
Substitute the known values and evaluate.
The answer to the nearest tenth is .
###... |
# Study Guide - Chapter 6
## Math 116
1. Sketch the graph of an exponential and logarithmic function on the same coordinate system. Look at problems 35 - 38 in section 6.2.
2. Rewrite an exponential equation in logarithmic form (look at 31-32 in the review*) and a logarithmic equation in exponential form. Two parts.
... |
# How do you find the derivative of sin(arccosx)?
Aug 1, 2015
Use the Chain Rule, resulting in $\cos \left({\cos}^{-} 1 \left(x\right)\right) \cdot \frac{- 1}{\sqrt{1 - {x}^{2}}}$
#### Explanation:
The Chain Rule involves breaking a function up into a function of a function, sometimes expressed as $y = f \left(u\ri... |
### 62nd Putnam 2001
Problem B2
Find all real solutions (x, y) to the simultaneous equations:
1/x - 1/(2y) = 2 y4 - 2 x4
1/x + 1/(2y) = (3 x2 + y2)(x2 + 3 y2).
Solution
Answer: There is just one solution: x = (31/5 + 1)/2, y = (31/5 - 1)/2.
We need to find some way of eliminating one of the variables. The rhs of b... |
## Calculus with Applications (10th Edition)
$${\text{The limit does not exist}}$$
\eqalign{ & \mathop {\lim }\limits_{x \to 0} \frac{{8{x^6} + 3{x^4} - 9x}}{{9{x^7} - 2{x^4} + {x^3}}} \cr & {\text{Verify if the conditions of l'Hospital's rule are satisfied}}{\text{. Here}} \cr & {\text{evaluate the limit substituting... |
Sunday, December 18, 2005
Continued Fractions and Matrices
Matrices are very useful when analyzing continued fractions. In previous blogs, I wrote about the continued fractions approximation function and the continued fractions basic properties. Today, I will show how matrices can be used to reason with continued fra... |
# Less than Zero
In the world of numbers, you will usually work with whole numbers. Those are the numbers that are zero and greater on a number line. There are no parts of numbers to worry about with whole or natural numbers. When you start to work with integers, you will start using numbers that are less than zero. F... |
hw5solutions
# hw5solutions - Math 215 HW#4 Solutions 1 Problem 2.3.6...
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Notes On Solutions of a Differential Equation - CBSE Class 12 Maths
Consider the differential equation dy/dx = ex - 4 We claim that function y = ex - 4x + 3 is the solution of the differential equation. The solution of a differential equation is the function that satisfies it. There exist two types of solutions for a d... |
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## Basics on the topicAdding 2-Digit Numbers
Imagine you own 14 toys and your sibling owns 17 toys. Now you want to calculat... |
# The equation of the tangent line to the curve at the given point.
### Single Variable Calculus: Concepts...
4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
### Single Variable Calculus: Concepts...
4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
#### Solutions
... |
Optimization Calculus.. a box/shelter with sides missing..
I'm solving a problem involving calculus optimization. The problem is the following:
"We plan to build a boxshaped shelter with no floor and one side open. (Hence we need a roof and three sides). The base of the shelter is a square. The volume of the shelter ... |
# Maths Year 5 Spring Decimals and Fractions
Each unit has everything you need to teach a set of related skills and concepts.
## Place value in decimals; rounding(suggested as 3 days)
### Planning and Activities
Day 1 Teaching
Revise place value, quizzing children about the digits in 4.03. Find 4.03 + 0.7. Rehearse... |
How to display points and lines on the coordinate axes
How to display points and lines on the coordinate axes
Here I will explain everything you need to know to represent points on Cartesian axes and how to represent lines on coordinate axes.
First of all, you need to be very clear about the Cartesian axes or coor... |
Find solution of equations- Equations given
Chapter 4 Class 12 Determinants
Concept wise
### Transcript
Misc 7 Solve the system of the following equations 2/x + 3/y + 10/z = 4 4/x + 6/y + 5/z = 1 6/x + 9/y + 20/z = 2 The system of equations are 2/x + 3/y + 10/z = 4 4/x + 6/y + 5/z = 1 6/x + 9/y + 20/z = 2 Now let 𝟏... |
# Expected Area of a Triangle Paradox
There have been several recent problems about expected values and unit circles. I came up with another problem like this, but I noticed something interesting. Here's the problem.
It is a well known fact that the triangle with vertices on opposite ends of the diameter of a circle ... |
# 3.2 Vector addition and subtraction: graphical methods
Page 1 / 16
## Learning objectives
By the end of this section, you will be able to:
• Understand the rules of vector addition, subtraction, and multiplication.
• Apply graphical methods of vector addition and subtraction to determine the displacement of movi... |
I recently came across a pretty interesting puzzle that used a different kind of mathematics – called Ramsey theory – in order to tackle the problem.
Here’s the problem:
Suppose you have a group of six people. Show that you will necessarily have at least three mutual friends or three mutual strangers.
This is a sort... |
# ISEE Lower Level Math : How to find the whole from the part
## Example Questions
← Previous 1 3
### Example Question #1 : How To Find The Whole From The Part
Find the whole from the part. Round to the nearest tenths place.
16 is 55% of what number?
Explanation:
To find the whole from a part, divide the "part" ... |
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# Notes - Force & Pressure Class 8 Notes | EduRev
## Class 8 : Notes - Force & Pressure Class 8 Notes | EduRev
``` Page 1
BAL BHARATI PUBLIC SCHOOL, PITAMPURA, DELHI – 110034
Class-VIII { U.T. - 1}
NOTES : FORCE & PRESSURE
Q.1. What is force? State the various effects of force.
Ans. A push or pull on an... |
# The Pythagorean Theorem04:35 minutes
Video Transcript
## TranscriptThe Pythagorean Theorem
Damo, the son of Pythagoras, wants to build a vacation cottage for his mother and father. In keeping with the family business of triangles, Damo decides to incorporate the shape into the design of the cottage. What a perfect... |
# What is 16 over 18 as a decimal?
## What is 16 over 18 as a decimal?
16/18 as a decimal is 0.88888888888889.
What is 16% as a fraction?
4/25
Answer: 0.16 as a fraction in its simplest form is 4/25. Let’s evaluate.
### What is 18% as a fraction?
9/50
Answer: 18% can be represented as 9/50 in fractional form.
Wh... |
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# Measures of Dispersion for Numerical Data Study Guide (page 2)
based on 1 rating
By
Updated on Oct 5, 2011
#### Example
Find the interquartile range of the population of orchestra members.
#### Solution
The median, 66.85 inches, divided the population into two halves, those me... |
of 25 /25
1 Induction proofs To prove that some proposition P (n) is true for all n n 0 by induction on n n 0 . Basis : Check that P (n 0 ) is true. 2. Inductive step . Assume that P (n ) is true for n = k , where k is some integer, k n 0 Prove that P (n) is true for n = k +1 , in inductive step we prove that for any n... |
Question Video: Stating the System of Inequalities That Describes a Given Situation | Nagwa Question Video: Stating the System of Inequalities That Describes a Given Situation | Nagwa
# Question Video: Stating the System of Inequalities That Describes a Given Situation Mathematics • First Year of Secondary School
## ... |
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AP State Syllabus AP Board 8th Class Maths Solutions Chapter 2 Linear Equations in One Variable Ex 2.5 Textbook Questions and Answers.
## AP State Syllabus 8th Class Maths Solutions 2nd Lesson Linear Equations in One Variable Exercise 2.5
Question 1.
Solve the following equations.
i) $$\frac{n}{5}-\frac{5}{7}=\frac{2... |
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## 2. The goals lessons:
Educational goals: Study quadrilateral concepts of its
elements:
Developing goals: activation of cognitive activity of students
through the solution of practical problems, the ability to
choose the right decision, succinctly express their tho... |
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### Pre-algebra
Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 978054758777... |
# If the points (2, 1) and (1, −2) are equidistant
Question:
If the points (2, 1) and (1, −2) are equidistant from the point (xy), show that x + 3y = 0.
Solution:
The distance $d$ between two points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ is given by the formula
$d=\sqrt{\left(x_{1}-x_{2}\right... |
Åk 6–9
English/Polski
4.1 Calculating with Formulas and Functions
It is important to be able to figure out the unknown variable in a function if you know the others. This you do by taking out the unknown variable.
We will look at two examples of formulas where you can do a little different calculation depending on wh... |
# Find The Domain of Functions with Square Root - Questions With Detailed Solutions
How to find the domain of functions with square root? Several examples are presented along with detailed solutions and explanations with graphical explanations and interpretation of the domain.
How to find the domain of a function wi... |
# Thread: simultaneous equation using elimination method
1. ## simultaneous equation using elimination method
can you please solve this equatiion using elmination method.
$3x+2y=27$
$x-2y=-27$
2. Originally Posted by johnsy123
can you please solve this equatiion using elmination method.
$3x+2y=27$
$x-2y=-27$
Okay,... |
# How do you solve 3/(x-2)<5/(x+2) using a sign chart?
Mar 6, 2017
The solution is x in ]-2,2 [ uu ]8, +oo [
#### Explanation:
We cannot do crossing over
Let's simplify the inequality
$\frac{3}{x - 2} < \frac{5}{x + 2}$
$\frac{3}{x - 2} - \frac{5}{x + 2} < 0$
$\frac{3 \left(x + 2\right) - 5 \left(x - 2\right)}{... |
# How do you find the area of the region bounded by the polar curve r=2-sin(theta) ?
Sep 17, 2014
The polar curve $r = 2 - \sin \theta$, $0 \le \theta < 2 \pi$ looks like this.
we can find the area $A$ of the enclosed region can be found by
$A = {\int}_{0}^{2 \pi} \setminus {\int}_{0}^{2 - \sin \theta} r \mathrm{dr... |
# Lesson: The Complement
## Comment on The Complement
### Hello Brent,
Hello Brent,
If we only need 1 number to be even to have an even product, why is 1/2 an icorrect answer, since a pick of the "2" from the first set is sufficient to make the product even ?
### You are correct in saying
You are referring to the ... |
# What is the implicit derivative of 5=x-1/(xy^2)?
Apr 18, 2018
See below.
#### Explanation:
When finding the implicit derivative of an equation, we are finding the derivative in respect to $x$.
This means that when we find the derivative of any variable other than $x$, we need to tag on a $\frac{\mathrm{ds} q u a... |
# Alternate Solution to Example Problem on Series Circuits
Here is an alternate way of solving the example problem. Instead of first finding all the resistances, we can begin the problem by finding the emf voltage first.
By Ohm's Law, we know that the emf is equal to the product of the total current and the total res... |
Properties of Complex Numbers MathBitsNotebook.com Terms of Use Contact Person: Donna Roberts
Properties of Complex Numbers: (Specifically those complex numbers involving "i ".)
1. Conjugates: When we worked with radicals and with binomials in general, we discovered expressions referred to as "conjugates". A binom... |
# Factors of 22
Factors of 22 are those numbers that, when multiplied together, give the result of 22. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 22.
## Factors Calculator
Enter Number
Factors ... |
### Estimation methods
A typical estimation problem:
guess how many paper clips are in a jar?
Photo by Dean Terry
My daughter's homework was to estimate the number of 953 divided by 18, using front-end estimation, using rounding to estimate, and using compatible numbers to estimate. What are the differences between t... |
Intuitive Trigonometry/Appendix 1: Solutions to Problems
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Appendix 1: Solutions to Problems
Radians and Arc Length
1. ${\displaystyle \ell _{\text{arc}}=2\pi r\left({\frac {\theta }{360^{\circ }}}\right)}$ is our formula for arc length; we can plug in our given values and solve. ${\... |
Middle Years
# 1.08 HCF and LCM
Lesson
When we compare two numbers, we often want to know what their highest common factor and lowest common multiple are. These numbers help us understand how they are related, and are often the answer to problems involving them.
### Highest common factor
A number is a common facto... |
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# An equilateral triangle of side $a$ carries a current $I$. What is the magnitude and direction of the magnetic field at the point $P$?
Last updated date: 23rd Feb 2024
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Hint: First, we have t... |
# Three numbers form an arithmetic sequence having a common difference of 4. If the first number is increased by 2, the second number by 3, and the 3rd number by 5, the resulting numbers form a geometric sequence. How do you find the original numbers?
May 1, 2016
$23 , 27 , 31$
#### Explanation:
The original sequen... |
# hw7 - 5.2.1 Consider y 00 y = 0 x = 0 We seek a series...
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# How do you solve the following linear system: -9 y + 2x = 2 , 5x - y = 3?
May 30, 2017
See a solution process below:
#### Explanation:
Step 1) Solve the second equation for $y$:
$5 x - y = 3$
$- \textcolor{red}{3} + 5 x - y + \textcolor{b l u e}{y} = - \textcolor{red}{3} + 3 + \textcolor{b l u e}{y}$
$- 3 + 5 ... |
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# Sum of digits | AMC-10A, 2020 | Problem 8
Try this beautiful problem from Algebra, based on Sum of digits from AMC-10A, 2020. You may use sequential hints to solve the problem
Try this beautiful problem from Algebra based on sum of digits
## Sum of digits – AMC-10A, 2020- Problem 8
What is the value n... |
# Missing Numbers up to 10
Printable worksheets on missing numbers up to 10 help the kids to practice counting of the numbers. Number math activities for kids are very important and necessary in early childhood education, preschool, kindergarten, nursery school and also for homeschooled kids.
Here the children are as... |
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