Consider the Cobb-Douglas Production function: P(L, K) = 13L0.9K0.1 Find the total units of production when L=19 units of labor and K=10 units of capital are invested. (Give your answer to three (3) decimal places, if

Q: Find the value of c that satisfies the MVT of f(x) = 1+x + x2 on (0,2).

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Q: The integrating factor of the LDE y' = x - 2ycotx is

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Q: Estimate v99 by using a linear approximation of f(x) = /x about the value c = 100. Round your answer…

A: We use the power rule. Then we find f(x) and f'(x) at x=100

Q: If a firm has the production function f(k, I) = (2k/A -TA)" what is the firm's elasticity of…

A: f(k,l)=(2k1/4+12l1/4)4…

Q: (1) Where on the line r = ay does the function f(x, y) = (r - a)? + (y - 2)² attain its smallest…

A: We need to calculate minimum of f(x,y)=(x-a)2+(y-2)2.........(1) on the line x=ay...............(2)…

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: Find a point c satisfying thr MVT for the given function and interval  y=x/x+2 [1,4]

A: Given query is to find the value of c.

Q: The altitude of a helicopter at three different instants is listed as below: 1, sec | 0.2 h, m |…

A: Given the altitude of a helicopter at three different times  t,sec0.20.30.45h,m445.98471.85503.46 we…

Q: The finance department of a car company conducted a study of their weekly sales in the past years,…

A: Given, st=12.18cos0.88t-7.25+20.40,  t≥0 a weekly sales at the start of study find sales at t=0…

Q: dy from t dx n for y as a function of x, and find two results are consistent by expressing the (a)…

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Q: The average speed f(t) (measured in kph of traffic )in a certain municipality between 4pm to 8pm on…

A: It is provided that: f(t)=20t-40t+50. We need to find the minimum and maximum of the function: f(t)…

Q: A person has a direct utility function as follows: u(x, x,) a) Find the expenditure function and…

A: Given, direct utility function: ux1, x2=x1x21+x2 We need to find the expenditure function and…

Q: What value of a makes ƒ(x) = x2 + (a/x) have a. a local minimum at x = 2? b. a point of inflection…

A: Given,

Q: Find the linearization L(x) to the function f(x)= Vx+4 at x =4, then use the linearization to…

A: linearlization of f(x) at x=a is  L(x) = f(a) + (x-a)f'a)

Q: Given the demand function D(p) = V150 – 3p, Find the Elasticity of Demand at a price of $1 At this…

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Q: (b) Find dE According to this model, if Cheryl is more tired than Desiree, but all other factors are…

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Q: Given a cost function C(a) as C(z) = 120+2, %3D 5, and use that to estimate the total cost when r 6.…

A:

Q: Find the amount of medicine to which the body is most sensitive by finding the value of M that…

A: Given

Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

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Q: What is the local linearization of f(x) = near x = 1? NOTE: Enter your formula exactly, or round…

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Q: During a 40-minute workout, a person riding an exercise machine burns calories at a rate of c…

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Q: Find the linear approximation of the function f(x) = v9+x at xo = 0, and use it to approximate v8.9…

A:

Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by…

A: We are given the demand function for a particular beverage as: D(q) = p=30003q+72 The equilibrium…

Q: Find the linearization of the function f (x) = xº at x = 1. L (x) = Using this linearlization, f…

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Q: For function f(x,y) to have maximum value at (a,B) IS 1) rt – s>0 and r0 and r>0 3) rt – s?0 and r>0

A: for function f(x,y) to have maximum value at (a,b) is rt-s2>0,r<0

Q: 2. The altitude of a helicopter at three different instants is listed as below: 0.3 1, sec 0.2 h, m…

A: We will solve this using 2 point forward and 2 point backward difference formula

Q: Consider the Cobb-Douglas production function f(x, y) = 200x0.7y0.3. When x = 1000 and y = 500, find…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: At what value of tt does the local max of f(t) occur?

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Q: Given the function f(x,y)=e5-2x+3y, approximate f(4.1,0.9)using point (4,1) for (xo, yo). What is…

A: The linear approximation of f(x, y) at (a, b) is the linear function  L(x, y)=f(a, b)+fx(a,…

Q: Let I = W/H^2 denote the BMI. Estimate the change in height that will decrease I by 1 if(W,H) = (25,…

A: I = WH2    (Given)    W=26                         H=1.1   W= Constant (given) I = WH2 = W(H2)-1 =…

Q: Verify that the function y increases at a maximum rate when y = L/2 .

A: Consider the function ⇒    where   Differentiating with respect to ‘x’

Q: Find the marginal cost (MC) at Q = 10 given that the average cost function AC = +2 100 О а. 20 O b.3…

A:

Q: to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that…

A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

Q: Q, Frd the donain of H fallowing function: fa) = 5x -3x-4

A:

Q: Given a cost function C(x) as C(z) = 120+2r, %3D calculate the marginal average cost when z = 5, and…

A: Given, Cost function C(x) as C(x)=120+2x Formula for the average cost function is Average cost,…

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

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Q: We previously modeled daylight hours with the function f(t) = 12.13 + 2.77sin(πt/6-1.6), with t…

A: Given: Daylight hours model is given by, f(t)=12.13+2.77sinπ6t-1.6, where t is measured in months.

Q: 24.) Given the function f(x)=x²– 2x Estimate J f(x) dx using four subintervals by . finding R4, L4…

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Q: Find the local linear approximation of the function f(x) = v8 + x at xo = 8, and use it to…

A:

Q: A department store has found that its value of sales (z) depends on the mumber of advertisements in…

A: Given that number of advertisements in circular = x number of advertisements in news papers = y…

Q: (1) Where on the line r = ay does the function f(r, y) = (x – a)² + (y – 2)² attain its smallest…

A: We need to check on the line x=ay.....................(1) if there exist a minimum for the function…

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) V'(t) (L/min) 1 3…

A: We will use the following Simpson's rule for n=6 ∫113vdt=h3[(v0+v6)+4(v1+v3+v5)+2(v2+v4)] here…

Q: 3. If f(x) = (1–- t²)e*dt, on what interval is the curve y =f(x) upward? concave

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Q: Given the demand function D(p) = V375 – 3p, Find the Elasticity of Demand at a price of $89 (Round…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…

Q: Given the graph of the linear function y = k(t) with k(6) = 24. %3D y 2A A 6 t 8.1 Show how you use…

A: 8.1) Given:     y=kt with k6=2A Area ∫06ktdt        Substitute kt=2A            =∫062A dA

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.