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I am asked to find the degree of homogeneity for this demand function
X = AM^{2.04}P^{-1.3}
This is what i have so far
Xo = AMo^{2.04}Po^{-1.3}
X1 = A(\lambda Mo)^{2.04}(\lambda Po)^{-1.3}
= A\lambda^{2.04} Mo^{2.04} \lambda^{-1.3} Po^{-1.3}
= \lambda^{0.74} AM^{2.04}P^{-1.3}
I'm unsure as to whether this i... | http://mathhelpforum.com/calculus/96621-degree-homogeneity.html | I am asked to find the degree of homogeneity for this demand function X = AM^{2.04}P^{-1.3} This is what i have so far Xo = AMo^{2.04}Po^{-1.3} X1 = A(\lambda Mo)^{2.04}(\lambda Po)^{-1.3} = A\lambda^{2.04} Mo^{2.04} \lambda^{-1.3} Po^{-1.3} = \lambda^{0.74} AM^{2.04}P^{-1.3} I'm unsure as to whether this is correct, i... | true | You're on the right track with your calculations for determining the degree of homogeneity of the demand function \( X = AM^{2.04}P^{-1.3} \).
When you substitute \( M \) and \( P \) with \( \lambda M_0 \) and \( \lambda P_0 \) respectively, you correctly derived:
\[
X_1 = A(\lambda M_0)^{2.04}(\lambda P_0)^{-1.3}
\... | Revised Question:
What is the degree of homogeneity for the demand function \( X = AM^{2.04} P^{-1.3} \)?
Revised Answer:
To determine the degree of homogeneity of the function \( X = AM^{2.04} P^{-1.3} \), we first evaluate the function under the transformation where all variables are multiplied by a constant \( \lam... | What is the degree of homogeneity for the demand function \( X = AM^{2.04} P^{-1.3} \)? | To determine the degree of homogeneity of the function \( X = AM^{2.04} P^{-1.3} \), we first evaluate the function under the transformation where all variables are multiplied by a constant \( \lambda \):
\[
X_1 = A (\lambda M)^{2.04} (\lambda P)^{-1.3}
\]
This can be rewritten as:
\[
X_1 = A \lambda^{2.04} M^{2.04}... |
transfer function stable
500 pts ended
is the following transfer function stable? why? 25(s+10)/(s^2-s+10)(5s+25)
Answers (8)
View this solution... try Chegg Study
Start Your Free Trial | http://www.chegg.com/homework-help/questions-and-answers/following-transfer-function-stable-25-s-10-s-2-s-10-5s-25-q3417356 | transfer function stable 500 pts ended is the following transfer function stable? why? 25(s+10)/(s^2-s+10)(5s+25) Answers (8) View this solution... try Chegg Study Start Your Free Trial | true | Q: Is the following transfer function stable? Why? 25(s+10)/(s^2-s+10)(5s+25)
A: To determine the stability of the transfer function, we need to analyze the poles of the system. The stability of a transfer function is generally assessed by examining the location of the poles in the complex plane. If all poles have ne... | Revised Question:
Is the following transfer function stable? Justify your answer:
\[
H(s) = \frac{25(s + 10)}{(s^2 - s + 10)(5s + 25)}
\]
Revised Answer:
To determine the stability of the transfer function
\[
H(s) = \frac{25(s + 10)}{(s^2 - s + 10)(5s + 25)},
\]
we need to analyze the poles of the transfer function,... | Is the following transfer function stable? Justify your answer:
\[
H(s) = \frac{25(s + 10)}{(s^2 - s + 10)(5s + 25)}
\] | To determine the stability of the transfer function
\[
H(s) = \frac{25(s + 10)}{(s^2 - s + 10)(5s + 25)},
\]
we need to analyze the poles of the transfer function, which are found by determining the values of \( s \) that make the denominator equal to zero.
1. **Finding the poles**:
- The denominator is given by \... |
Show it is always possible to find an atlas {Ci} of a differentiable manifold M, such that every Ui = R^n.
Where Ui is the domain of the chart Ci : Ui --> Mi
Mi is the subset of M such that union of Mi = M,
R^n is the n-dimensional euclidean space.
Remark: the manifold is a general manifold, not necessarily in R^m. | http://mathhelpforum.com/calculus/208773-problem-calculus-manifolds-help.html | Show it is always possible to find an atlas {Ci} of a differentiable manifold M, such that every Ui = R^n. Where Ui is the domain of the chart Ci : Ui --> Mi Mi is the subset of M such that union of Mi = M, R^n is the n-dimensional euclidean space. Remark: the manifold is a general manifold, not necessarily in R^m. | true | To demonstrate that it is always possible to find an atlas \(\{C_i\}\) of a differentiable manifold \(M\) such that every \(U_i = \mathbb{R}^n\), we will start by establishing some necessary definitions and foundational concepts about differentiable manifolds.
### Definitions
1. **Differentiable Manifold**: A topologi... | Revised Question:
Prove that it is possible to construct an atlas \(\{C_i\}\) for a differentiable manifold \(M\) such that each chart \(U_i = \mathbb{R}^n\), where \(U_i\) is the domain of the chart \(C_i: U_i \to M_i\) and \(M_i\) is a subset of \(M\) such that \(\bigcup M_i = M\). Note that the manifold is general a... | Prove that it is possible to construct an atlas \(\{C_i\}\) for a differentiable manifold \(M\) such that each chart \(U_i = \mathbb{R}^n\), where \(U_i\) is the domain of the chart \(C_i: U_i \to M_i\) and \(M_i\) is a subset of \(M\) such that \(\bigcup M_i = M\). Note that the manifold is general and not necessarily... | To construct an atlas \(\{C_i\}\) for a differentiable manifold \(M\) such that each chart has a domain equal to \(\mathbb{R}^n\), proceed with the following steps:
1. **Local Homeomorphism**: By the definition of a differentiable manifold, for every point \(p \in M\), there exists a neighborhood \(U_p\) of \(p\) in \... |
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