5. The Cobb-Douglas production function for a new product is given by P(x, y) = 10x406, where x is the number of the units of labour andy is the number of the units of capital required to produce P(x, y) units of the product. (a) Find P(x, y) and P(x, y). (b) If the company is currently using 200 units of labor and 100 units of capital, find the marginal productivity of labour and the marginal productivity of capital respectively. (c) For the greatest increase in productivity, should the management of the company encourage increased use of labour or increased use of capital?

Q: Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

A:

Q: Find the open intervals where the function f(x)= In (x²+25) is concave upward or concave downward.…

A:

Q: For the vector-valued function r(t) = t³i + (2t² + 1)j + (3t − 6)k find the following and express…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: (d) Use the given information to write an equation that relates the variables x and y. (e) Use part…

A:

Q: Evaluate the double integral. 116 1x². + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

A: We have to evaluate the integral                                                    ∫∫Dx2+2ydA Where…

Q: A mysterious cube has landed on the Ivy Tech lawn and is expanding its volume (V) at a rate of 150…

A: The volume of a cube with side s is V=s3. The derivative of xn with respect to x is n xn-1.

Q: In each of the following, find the ellipse’s eccentricity, foci and directrices. i. 16x2+ 25y2=400…

A: Answer: As per the guidelines we can solve only first questions, so post other questions separately,…

Q: A company's logo was designed using circles of 3 different sizes. The diameters of two of the…

A: A company's logo was designed using circles of 3 different sizes.  The diameters of two of the…

Q: Evaluate the indefinite integral. 4–9sinr St. cos x -dx

A:

Q: 1 When is the velocity of the particle positive? When is it negative? When is the particle speeding…

A:

Q: | - ا 28 (9 — x²)¹¹/2 dx

A: Follow the procedure given below

Q: Write the equation of the line in the point-slope form that passes through the points (0,8) and…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: f"(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 4 f(0) = -sin (0) - cos(0) + (0) + 2 x

A: Given query is to find indicated function.

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: d the distance from the point (5,9,-6) to the plane - 3z = amon 18.

A: we will find the required.

Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

Q: Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

A: Given query is to find the limit.

Q: Simplify the expression Show your work 2 T 6x3-17x2+20x-5 3x1 PENCIL THIN BLACK B

A:

Q: y" - 2y + 2y = e secx; Y₁ = e cos x у1

A:

Q: Sketch the region of integration and change the order of integration. *9 *√81 - y² 1₁ 0 -9 JO f(x,…

A: The given integral is:∫-99∫081-y2 f(x,y) dx dy

Q: x+1 ƒ ( ² + ¹) + f(x) = x + 1 X find f(x)

A:

Q: Find the volume of the solid enclosed by the intersection of the sphere x² + y² + z² = 100 and the…

A:

Q: Use spherical coordinates to integrate f(x, y, z) = √√x² + y² + z² over the solid E between the…

A:

Q: Suppose that f is a function which is continuous and differentiable. Given that f'(x) ≤ 1 for all x…

A:

Q: Given that log(5) ≈ 0.6990 and log(2) ≈ 0.6990 and log(2) ≈ 0.3010, find the value of the logarithm.…

A: The given data is: log5≈0.6990log2≈0.3010  Find the value of the logarithm log52

Q: The indefinite integral of the sum of two functions is the sum of the indefinite integrals. A. True…

A: we have to choose true/false above 3 sub part The indefinite integral of the sum of two functions is…

Q: is that a 5 or a 2?

A:

Q: Suppose that f is a differentiable function such that ƒ(3)= 4 and ƒ′ (3)= 3. Compute d 2 da [x² +…

A:

Q: 5. Find the points of inflection and discuss the concavity of the function (x)=-8x-2 cos x on the…

A:

Q: 10. For the function f(x) = x³ 3x² - 9x (a) Find the intercepts. Show work. Round to two decimal…

A:

Q: A price index was approximately 98.6 (base year 1992) at the beginning of 1991. If inflation…

A: Formula used A = P( 1 + R100 )t A = amount after time t P = initial amount R = rate

Q: Find the distance from the point (-4,-7,-5) to the line a(t) = ( − 4, 5, 2)t + (2, 4, — 5)

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

A:

Q: Det

A: Both the series will converges....for detail go through the solution

Q: Find the equation of the line 1. Passing through the point (-1, -3) and parallel to the line…

A:

Q: (a) What is the equation of the plane passing through the points (2,0,0), (0,1,0), and (0,0,2)? (b)…

A: Given that plane passing trough the points (2,0,0),(0,1,0) and (0,0,2)

Q: Sketch the graph of a single function that has all of the properties listed. a. Continuous and…

A:

Q: You are in charge of erecting a radio telescope on a newly discovered planet. To minimize…

A: Given: Mx,y,z=12x-y2+xz+240The radius of the spherical planet is 12 unit. Hence, x2 + y2 + z2 =…

Q: Calculate the double integral. 4xy² x² + 1 Sk 2 R X dA, R = {(x, y) | 0 ≤ x ≤ 2, -3 ≤ y ≤ 3}

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: For the following function, find (a) the critical numbers, (b) the open intervals where the function…

A:

Q: (0, 0) Corner (0, 0) (7,0) (6,2) (0, 3) (0, 3) 1 (4,4) 40 want to find the maximum and minimum…

A: To solve the following problem

Q: √ x2 (4x² + x² − 1) ³. Find the derivative of f (x) = =

A:

Q: For the function f(x)= of f. 4x x-3 find f'''(x), the third derivative of f, and f(4)(x), the fourth…

A: Given function:- fx=4xx-3

Q: An unbounded solid sits above the x-axis, for 1 ≤ x ≤ ∞, being in cross-section a disc of radius e*…

A: We have to find the volume of unbounded disc.

Q: ) Derivatives of trigonometric function and inverse trigonometric functions 6) Differentiate y 2 cos…

A: Note:- Since you have posted multiple question in this question which are not interlinked so i have…

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 13 + sin(6πt),…

A:

Q: Let f(x) = 2x² + 13x + 15 3x2 + 11x + 6 As →→∞o, y → As a → ∞, y → - As →→-3, y → A Consider the end…

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: To determine whether the series is convergent or divergent.  If it is convergent, then to find its…