For the following functions, answer if the function is homogeneous in (x , y), and if yes, what degree it is.
a.
b.
c.
Does any of these three production functions display constant returns to scale?
For the following functions, answer if the function is homogeneous in (x , y), and if...
If output is described by the production function , with then the production function has: (a) diminishing returns to scale (b) increasing returns to scale (c) constant returns to scale (d) degree of returns to scale that cannot be determined from the information given. (e) None of the above We were unable to transcribe this imageWe were unable to transcribe this image
Is the following production function homogeneous? If so, find the degree of homogeneity and comment on the returns to scale. Q=3K*24 +Kº24 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. and the function exhibits increasing returns to scale. O A. This function is homogeneous. The degree of homogeneity is (Type a whole number.) and the function constant returns to scale. OB. This function is homogeneous. The degree of homogeneity is (Type...
Use the Debye approximation to find the following themodynamic functions of a solid as a function of the absolute temperature T a) the fee energy F b) the mean energy c) the entropy S Express your answers in terms of the Debye function D(y) = and the Debye temperature D = hwmax/k e) Evaluate the function D(y) in the limit when y >> land y<<1. Use these results to express the thermodynamic functions F, and S in the llimiting cases...
a) By direct substitution determine which of the following functions satisfy the wave equation. 1. g(x, t) = Acos(kx − t) where A, k, are positive constants. 2. h(x, t) = Ae where A, k, are positive constants. 3. p(x, t) = Asinh(kx − t) where A, k, are positive constants. 4. q(x, t) = Ae where A, a, are positive constants. 5. An arbitrary function: f(x, t) = f(kx−t) where k and are positive constants. (Hint: Be careful with...
Find an equation of the tangent plane to the surface f (x, y) =
x tan y at the point (2,
/4, 2).
a. x - 4y - z =
b. None of these
c. x + 4y - z = -
d. -x + 4y - z =
e. - x + 4y - z =
/4
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For any vector field F⃗ and any scalar function f we define a new field
a) Assuming that the appropriate partial derivatives are
continuous, show the following formula:
b) Let ⃗x = x⃗i + y ⃗j + z ⃗k and the vector field
Use the formula found in a) to answer
the following question: is there a number p such that F⃗ is incompressible (that is, its divergence is zero)?
f F)(x,y,z) = f(x,y,z)F(x,y, z) We were unable to transcribe...
Is the following production function homogeneous? If so, find the degree of homogeneity and comment on the returns to scale! Q = 4K L This production function homogeneous What is the degree of homogeneity of the production function? This function displays returns to scale.
1. Consider the function. (a) Draw the level curves of this function for levels c = 0, 1, 2. Please clearly label each level curve with the appropriate value of c. (b) Use the previous answer to sketch the graph (c) Find all first and second order derivatives of this function. (Please label all your derivatives clearly.) (d) Find the equation of the tangent plane to 2.. Let (a) Show that does not exist. (b) Show that does exist and...
Let R be delimited by
and
and S being surface R, outwardly. Now give us the vector field
F(x,y,z)=ij
+
calculate flux integral
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image(z + sin ( 2)) +(y + cos(r3 +(22 + sin(zy))k