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49. The heats of combustion of C and CO are -393.5 and $-283.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$ respectively. The heat of formation (in kJ ) of CO per mode is (a) 676.5 (b) -676.5 (c) -110.5 (d) 110.5 (IIT 2016 Main)
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22. Decrease in atomic number is observed during (a) alpha emission (b) beta emission (c) positron emission (d) electron capture.
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59. Four combinations of two thin lenses are given in Column-I. The radius of curvature of all curved surfaces is $r$ and the refractive index of all the lenses is 1.5 . Match lens combinations in Column-I with their focal length in Column-II and select the correct answer using the code given below the lists. | Column...
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16. The function $\frac{\sin (x+a)}{\sin (x+b)}$ has no maxima or minima if $$ \begin{array}{ll} \text { a. } b-a=n \pi, n \in I & \text { b. } b-a=(2 n+1) \pi, n \in I \\ \text { c. } b-a=2 n \pi, n \in I & \text { d. None of these } \end{array} $$
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24. 500 mL of a $0 \cdot 1 \mathrm{~N}$ solution of $\mathrm{AgNO}_{3}$ is added to 500 mL of a $0 \cdot 1 \mathrm{~N} \mathrm{KCl}$ solution. The concentration of nitrate in the resulting mixture is (a) 0.1 N (b) 0.05 N (c) 0.01 N (d) 0.2 N
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How do I boot Linux Mint on VirtualBox?
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When was the start of the period known as the Renaissance?
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46. The area of the triangle formed by the tangent and the normal to the parabola $y^{2}=4 a x$, both drawn at the same end of the latus rectum, and the axis of the parabola is a. $2 \sqrt{2} a^{2}$ b. $2 a^{2}$ c. $4 a^{2}$ d. none of these
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Why do soccer clubs not retire jersey numbers?
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1. perimeter of $\triangle O C S_{1}$ is a. 20 units b. 10 units c. 15 units d. 25 units
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33. $\begin{array}{cccc}\text { a. } 9 & \text { b. } 13 & \text { c. } 4 & \text { d. } 5 \\ \text { 33. A tangent having slope of }-\frac{4}{3} \text { to the ellipse } \frac{x^{2}}{18}+\frac{y^{2}}{32}=\end{array}$ 1 intersects the major and minor axes at points $A$ and $B$ respectively. If $C$ is the centre of the...
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9. When a solid sphere moves through a liquid, the liquid opposes the motion with a force F. The magnitude of F depends on the coefficient of viscosity η of the liquid, the radius r of the sphere and the speed v of the sphere. ...
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Ex. 26. 4 g of NaOH was dissolved in one litre of a solution containing one mole of acetic acid and one mole of sodium acetate. Find the pH of the resulting solution. The dissociation constant for acetic acid is $1.8 \times 10^{-5}$.
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106. A purse contains 2 six-sided dice. One is a normal fair die, while the other has two 1's, two 3's, and two 5's. A die is picked up and rolled. Because of some secret magnetic attraction of the unfair die, there is $75 \%$ chance of picking the unfaidie and a $25 \%$ chance of picking a fair die. The die is rolled ...
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Example 2.11 Find the ordered pair $(x, y)$ for which $x^{2}-y^{2}-i(2 x+y)=2 i$
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Are charter schools better than public schools? Why or why not?
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What emotions did Cooley regard as of paramount social importance?
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8. The most polar compound among the following is : (a) ![](https://cdn.mathpix.com/cropped/2024_05_03_616bdce11c835394482dg-151.jpg?height=162&width=193&top_left_y=589&top_left_x=1601) (b) ![](https://cdn.mathpix.com/cropped/2024_05_03_616bdce11c835394482dg-151.jpg?height=400&width=193&top_left_y=747&top_left_x=...
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1. Two very large thin conducting plates having same cross-sectional area are placed as shown in figure. They are carrying charges $Q$ and $3 Q$, respectively. The variation of electric field as a function at $x$ (for $x=0$ to $x=3 d$ ) will be best represented by (a) ![](https://cdn.mathpix.com/cropped/2024_06_12_88c...
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What do international donors do to promote democracy?
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What are pre-schools also known as?
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4. At very high pressures, the compressibility factor of one mole of a gas is given by : [Main Online April 9, 2016] (a) $1+\frac{P b}{R T}$ (b) $\frac{P b}{R T}$ (c) $1-\frac{P b}{R T}$ (d) $1-\frac{b}{(V R T)}$
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Is multiple sclerosis genetic?
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$\bullet 44$ Figure 23-52 gives the magnitude of the electric field inside and outside a sphere with a positive charge distributed uniformly throughout its volume. The scale of the vertical axis is set by $E_{s}=5.0 \times 10^{7} \mathrm{~N} / \mathrm{C}$. What is the charge on the sphere? ![](https://cdn.mathpix.com/...
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1.255. A spool with a thread wound on it is placed on an inclined smooth plane set at an angle $\alpha=30^{\circ}$ to the horizontal. The free end of the thread is attached to the wall as shown in Fig. 1.61. The mass of the spool is $m=200 \mathrm{~g}$, its moment of inertia relative to its own axis $I=0.45 \mathrm{~g}...
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Mark your answer as (a) If Statement I is true, Statement II is true; Statement II is the correct explanation for Statement I. (b) If Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I. (c) If Statement I is true; Statement II is false. (d) If Statement I is false; ...
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67. Ejection of the photoelectron from metal in the photoelectric effect experiment can be stopped by applying 0.5 V when the radiation of 250 nm is used. The work function of the metal is ... . (a) 4.5 eV (b) 5 eV (c) 5.5 eV (d) 4 eV [Hint: $1 \mathrm{eV}=1.602 \times 10^{-19} \mathrm{~J}$, energy to slop $\mathrm{PEE...
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Ex. 2. From the values of 1 faraday and Avogadro constant, show that 1 faraday may be called 1 mole of electricity.
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6. Total number of geometrical isomers possible for given compounds are: $$ \mathrm{Me}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}=\mathrm{C}=\mathrm{CH}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_{3} $$ (A) 16 (B) 8 (C) 4 (D) 2
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What did the Scientific Revolution force people to do?
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48. The arrangement of $X^{-}$ions around $A^{+}$ion in solid $A X$ is given in the figure (not drawn to scale). If the radius of $X^{-}$is 250 pm , the radius of $A^{+}$is ![](https://cdn.mathpix.com/cropped/2024_11_12_b980223a160630c93b68g-785.jpg?height=273&width=385&top_left_y=709&top_left_x=452) (a) 104 pm (b) 125...
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8. A stationary hydrogen atom emits photon corresponding to the first line of Lyman series. If $R$ is the Rydberg constant and $M$ is the mass of the atom, then the velocity acquired by the atom is (a) $\frac{3 R h}{4 M}$ (b) $\frac{4 M}{3 R h}$ (c) $\frac{R h}{4 M}$ (d) $\frac{4 M}{R h}$
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How is cladistics similar to the stemmatic method?
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1.312. Find the elastic deformation energy of a steel rod whose one end is fixed and the other is twisted through an angle $p=6.0^{\circ}$. The length of the rod is equal to $l=1.0 \mathrm{~m}$, and the radius to $r=$ $=10 \mathrm{~mm}$.
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23. Unit vector parallel to the resultant of vectors $\mathbf{A}=4 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}$ and $\mathbf{B}=8 \hat{\mathbf{i}}+8 \hat{\mathbf{j}}$ will be (a) $\frac{24 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}}{13}$ (b) $\frac{12 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}}{13}$ (c) $\frac{6 \hat{\mathbf{i}}+5 \hat{\mat...
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55. If $A$ and $B$ are acute positive angles satisfying the equations $3 \sin ^{2} A+2 \sin ^{2} B=1$ and $3 \sin 2 A-2 \sin 2 B=0$, then $A+2 B$ is equal to a. $\pi$ b. $\frac{\pi}{2}$ c. $\frac{\pi}{4}$ d $\frac{\pi}{6}$
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6. Switch $S$ is closed at time $t=0$. Which one of the following statements is correct? ![](https://cdn.mathpix.com/cropped/2024_06_12_88c1c8d683adf388794bg-105.jpg?height=232&width=493&top_left_y=387&top_left_x=720) (a) Current in the resistance $R$ increases if $E_{1} r_{2}<E_{2}\left(R+r_{1}\right)$ (b) Current ...
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Why is Pakistan not willing to act against terrorism?
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3. Range of $f(x)=[R(x)] /\left(x^{2}-3 x+2\right)$ is a. $[-2,2]$ b. $(-\infty,-2-\sqrt{3}] \cup[-2+\sqrt{3}, \infty)$ c. $(-\infty,-7-4 \sqrt{3}] \cup[-7+4 \sqrt{3}, \infty)$ d. none of these
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3. The rate law of the reaction $\mathrm{A}+2 \mathrm{~B} \rightarrow$ Product is given by $\frac{d \text { (product) }}{d t}=k[\mathrm{~A}]^{2} \cdot[\mathrm{~B}]$. If A is taken in large excess, the order of the reaction will be (a) 0 (b) 1 (c) 2 (d) 3
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Is it morally right for an unhappy person to have children?
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How can you determine the combustion of methane?
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When did practicers of religious humanism form under the name Humanism?
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How do we know that no two people have the same fingerprints?
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What is the Tokugawa period also known as?
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What were the Saka Rulers of Western India believed to be called?
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Is keeping a piece of skin shed by a cobra considered lucky in India?
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What government official is responsible for nominating two members to the New Delhi Municipal Council?
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4.3 The decomposition of $\mathrm{NH}_3$ on platinum surface is zero order reaction. What are the rates of production of $\mathrm{N}_2$ and $\mathrm{H}_2$ if $k=2.5 \times 10^{-4} \mathrm{~mol}^{-1} \mathrm{~L} \mathrm{~s}^{-1}$ ?
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38. If glycerene, $\mathrm{C}_{3} \mathrm{H}_{5}(\mathrm{OH})_{3}$, and methyl alcohol, $\mathrm{CH}_{3} \mathrm{OH}$, are sold at the same price per kg , which would be cheaper for preparing an antifreeze solution for the radiator of an automobile? $\left(\mathrm{CH}_{3} \mathrm{OH}\right)$
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44. The graph of the quantity $\mathrm{d} / \mathrm{p}$ against pressure is extrapolated to zero pressure to obtain a limiting value. If this limiting $\mathrm{d} / \mathrm{p}$ value for a certain nonideal gas is found to be $2.86 \mathrm{~g} / \mathrm{L}-\mathrm{atm}$ at $0^{\circ} \mathrm{C}$, the molar mass of the g...
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1.15 Match the following prefixes with their multiples: | . | Prefixes | Multiples | |-------|-----------|-----------| | (i) | micro | $10^6$ | | (ii) | deca | $10^9$ | | (iii) | mega | $10^{-6}$ | | (iv) | giga | $10^{-15}$ | | (v) | femto | 10 |
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5. If $\left|z_{1}\right|=15$ and $\left|z_{2}-3-4 i\right|=5$, then a. $\left|z_{1}-z_{2}\right|_{\text {min }}=5$ b. $\left|z_{1}-z_{2}\right|_{\text {min }}=10$ c. $\mid z_{1}-z_{2} I_{\text {max }}=20$ d. $\left|z_{1}-z_{2}\right|_{\max }=25$
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| 5 | ![](https://cdn.pureessence.tech/ffd8d58c-43cc-40c6-9665-05cb44a5567c.png) | | | | |
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13. A horizontal disc rotates freely with angular velocity $\omega$ about a vertical axes through its centre. A ring, having the same mass and radius as the disc, is now gently placed coaxially on the disc. After some time, the two rotate with a common angular velocity. Then (a) no friction exists between the disc and...
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The western colonies were invaded by whom during World War II?
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4. If $\mathrm{A}_{1}, \mathrm{~A}_{3}, \ldots, \mathrm{A}_{2 \mathrm{n}-1}$ are n skew-symmetric matrices of same order, then $\mathrm{X}=\sum_{\mathrm{r}=1}^{\mathrm{n}}(2 \mathrm{r}-1)\left(\mathrm{A}_{2 \mathrm{r}-1}\right)^{2 \mathrm{r}-1}$ will be (a) symmetric (b) skew-symmetric (c) neither symmetric nor skew sy...
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How can I improve writing skills?
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10. The $\mathrm{pH}$ of rain water, is approximately: (a) 5.6 (b) 7.5 (c) 7.0 (d) 6.5
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9. Water from a tap emerges vertically downwards with an initial speed of $1.0 \mathrm{~m} / \mathrm{s}$. The cross-sectional area of tap is $10^{-4} \mathrm{~m}^{2}$. Assume that the pressure is constant throughout the steam of water and that the flow is steady, the cross-sectional area of stream $0.15 \mathrm{~m}$ be...
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2. The function $f(x)=\frac{4-x^{2}}{4 x-x^{3}}$ is a. Discontinuous at only one point b. Discontinuous exactly at two points c. Discontinuous exactly at three points d. None of these
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59 o Figure 40-24 shows the energy levels of two types of atoms. Atoms $A$ are in one tube, and atoms $B$ are in another tube. The energies (relative to a ground-state energy of zero) are indicated; the average lifetime of atoms in each level is also indicated. All the atoms are initially pumped to levels higher than t...
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16 Aluminium trifluoride is insoluble in anhydrous HF but dissolves on addition of NaF . Aluminium trifluoride precipitates out of the resulting solution when gaseous $\mathrm{BF}_3$ is bubbled through. Give reasons.
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3. If $p$ is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $\lambda$, then for $1.5 p$ momentum of the photoelectron, the wavelength of the light should be: (Assume kinetic energy of ejected photoelectron to be very high in comparison to work functio...
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What type of heritage architecture is mainly displayed in Hyderabad?
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3. Let $y=y(x)$ be the solution of the differential equation, $\frac{d y}{d x}+y \tan x=2 x+x^{2} \tan x, \quad x \in-\frac{\pi}{2}, \frac{\pi}{2}$, such that $y(0)=1$. Then (a) $y^{\prime} \frac{\pi}{4}-y^{\prime}-\frac{\pi}{4}=\pi-\sqrt{2}$ (b) $y^{\prime} \frac{\pi}{4}+y^{\prime}-\frac{\pi}{4}=-\sqrt{2}$ (c) $y ...
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14. Consider a thin square sheet of side $L$ and thickness $t$, made of a material of resistivity $\rho$. The resistance between two opposite faces, shown by the shaded areas in the figure is ![](https://cdn.mathpix.com/cropped/2023_12_28_092f08a9ae3c385eb2ccg-402.jpg?height=307&width=402&top_left_y=2165&top_left_x=45...
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18. Which of the following compound has a P-P bond ? (a) $\mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{5}$ (b) $\left(\mathrm{HPO}_{3}\right)_{3}$ (c) $\mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{6}$ (d) $\mathrm{H}_{4} \mathrm{P}_{2} \mathrm{O}_{7}$
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1. An ellipse, with foci at $(0,2)$ and $(0,-2)$ and minor axis of length 4, passes through which of the following points? (a) $(\sqrt{2}, 2)$ (b) $(2, \sqrt{2})$ (c) $(2,2 \sqrt{2})$ (d) $(1,2 \sqrt{2})$
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13. For $0 \leq x \leq 2 \pi$, then $2^{\operatorname{cosec} x} \sqrt{\frac{1}{2} y^{2}-y+1} \leq \sqrt{2}$ a. is satisfied by exactly one value of $y$ $\mathbf{h}$ is satisfied by exactly two value of $x$ c. is satisfied by $x$ for which $\cos x=0$ d is satisfied by $x$ for which $\sin x=0$
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18. The middle term in the expansion of $(x / 2+2)^{8}$ is 1120 ; then $x \in R$ is equal to a. -2 b. 3 c. -3 d. 2
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What was another name used for the corrupted high culture of the indigenous people?
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24. An open knife of mass $m$ is dropped from a height $h$ on a wooden floor. If the blade penetrates up to the depth $d$ into the wood, the average resistance offered by the wood to the knife edge is (a) $m g\left(1+\frac{h}{d}\right)$ (b) $m g\left(1+\frac{h}{d}\right)^2$ (c) $m g\left(1-\frac{h}{d}\right)$ (d) ...
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Ex. 2. 20 mL of CO was mixed with 50 mL of oxygen and the mixture was exploded. On cooling, the resulting mixture was shaken with KOH. Find the volume of the gas that is left.
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79 SSM A diffraction grating has resolving power $R=\lambda_{\mathrm{avg}} / \Delta \lambda=$ $N m$. (a) Show that the corresponding frequency range $\Delta f$ that can just be resolved is given by $\Delta f=c / N m \lambda$. (b) From Fig. 36-22, show that the times required for light to travel along the ray at the bot...
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26. The last two digits of the number $3^{400}$ are a. 81 b. 43 c. 29 d. 01
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8. A ball is thrown horizontally from a height with a certain velocity at time $t=0$. The ball bounces repeatedly from the ground with coefficient of restitution less than 1 as shown. Neglecting air resistance and taking the upward direction as positive, which figure qualitatively depits the vertical component of the b...
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What would happen if we no longer segregated our public bathrooms by gender?
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9. Statement 1: $f(x)=\sin x+[x]$ is discontinuous at $x=0$, where $[$.$] denotes the greatest integer function.$ Statement 2: If $g(x)$ is continuous and $h(x)$ is discontinuous at $x=a$, then $g(x)+h(x)$ will necessarily be discontinuous at $x=a$.
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