Problem 4. Suppose that a firm's capital and labour vary in time as follows: k(t) = 2t², 1(t) = 2t + 5 If the firm has production function q(k,l) = kl², determine the rate at which production changes with time.

Q: Evaluate the triple integral fff f(x, y, z)dV as an iterated integral for the given function f and…

A: Here we can use the following order of integration to find the given integral

Q: x1/23/4 and that x and y are defined u? + v? and y(u, v) Problem 3. Suppose that f(x, y) in terms of…

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Q: Problem 9. Suppose that u аnd v 3 3 Determine which of the vectors below are in Lin{u, v}, and for…

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Q: For and #26, find and simplify each of the following, given f(x)=√√2x-6 and g(x)=5x+1 26. (gof)(5)

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Q: blem 5 Given limx→a f(x) = Lf and limx→a 9(x) = Lg where Lf, L, E R. Prove limx→a f(x) g(x) = LfLg…

A: Note that it's solution to Q.5( mistakenly i typed 6)

Q: ) ( 7+8i 4+5i 6–3i 8-4i Problem 4: Evaluate

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Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

Q: 3. Find two unit vectors orthogonal to -4i + 6j+6k and 87 - 9j - 9k

A: To find two unit vectors orthogonal to .

Q: Problem 2: Determine the five roots of z = 32e(1.047) the Argand Diagram . Show the roots in

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Q: Find dx AI dx at (-6, 1) if xy = 0.1667 18/ x + 3 (Round your answer to four decimal places.)

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Q: The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate metal that is…

A: Obtain the 95% confidence interval for the differences between the means.   The 95% confidence…

Q: Problem 9. Find the derivative of the function at the point Po in the directic of the vector u: a)…

A: According to company rule we can answer only first question and rest can be reposted.

Q: Problem 2. Consider the surface z = -x? – y? 0,1, 2 sections of this surface and sketch them in the…

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Q: Problem 3 Let f(x) = ln(x+3), a. construct interpolation polynomials of degree one and two to…

A: We shall give the MATLAB code to perform the above operations.Since we have to find the value of…

Q: Differentiate the function. (a) f(x) = x5/3 - 2/3 (b) g(x) = √x+x x2 (c) h(x) = = x 2-tan x

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Q: Problem 2. (A) Prove that if the nonnegative series >an and bn converge, then so nEN nEN does the…

A: We will prove it

Q: Evaluate - DI 2 x (√Vin(4-x²)).

A:

Q: Problem: C is the positively oriented curve starting at the point (0, 0), moving along y = 0 to the…

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Q: Problem 6. Represent the Range of the matrix A: 1 2 -1 6. 4 8 4 24 A -1 5 2 -1 -5 4 - 20 as a linear…

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Q: Problem 2. The quantity y is related to x through the equation a?y – 6x*y? + 2.ry = 1. - Find dy/dx.…

A: The detailed solution is given below Thank you

Q: Problem 5. Write down all the first-order and second-order partial derivatives for the Cobb-Douglas…

A: The complete solutions are given below

Q: problem 1 and problem 2

A: To find the function y =y(x) from the given differential equation satisfying the initial condition

Q: Problem 7. Suppose that production q, capital k and labour l satis fy g(q, k, 1) 0. In other words,…

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Q: Problem 2: Find the intervals of increasing and decreasing. Find the intervals of concave up and…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: x – y Problem 10. Let f(x,y) Find the directions u and the values of x + y Duf(-1/2,3/2) for which…

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Q: In a hypothesis test with hypotheses Ho :p 0.58, a random sample of size 1143 produced a sample…

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Q: 3. Problem 3 Let A, B be n x n matrices such that A is invertible and B is not invertible. Is it…

A: Given that A and B are two matrices.  Where A is invertble and B is non-invertble matrices. Then we…

Q: Ecologists are interested in whether the presence of arbuscular mycorrhizal gi (AMF) in the soil…

A: Solution: Given information: n = 6 observation.  d = -5.3    Difference of sample mean sd2= 27.66…