5. Submit answer Practice similar X Compute T2(x) at x = 0.6 for y = e and use a calculator to compute the error le-T2(x)| at x = 0.2. T2(x) \e - T₂(x) = Submit answer Answers Answer II 0 @ T E R 5 do The Weather Channel DELL F7 FB D F G H UP Score 8 B N M
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- What is the purpose of the Intermediate Value Theorem?10) Find (ƒ^¹) (-5) if ƒ(x) = x² +3x−1.The manager of one of the companies believes that the rate of defective units is (15) pieces. Until purchases are made from his company, a representative inspects (21) devices from the company's stores and finds out that the rate of defective units is (9) pieces under the supervision of a standard company with a capacity of (512). Can it be trusted? In the belief of the company director, he changes the meaning of this or else 5 Z 0.05 =1.64 t(20),0.05-1.72 T(20),0.025=2.08
- Mark derives utility from watching movies and from playing computer games according to the utility function U(c,m) =6c^(1/3)m^(1/2), where c is the number of hours he plays games and m is the number of hours he watches movies. He has 15 hours per day to divide between these two activities. Write down Markís constrained utility maximization problem and his Lagrangian function. Derive the first order conditions and find the candidate solution (c*,m*).The project consists of multiple prompts related to what is known as the Cobb-DouglasProduction Model. Each prompt takes you closer to the complete solution to the followingoptimization problem. Suppose the quantity, q, of a product manufactures depends on the number of workers.W , and the amount of capital invested, K, and is represented by the Cobb-Douglas functionq = 64W^(3/4)K^(1/4). Suppose further that labor costs $18 per worker and capital costs $28 per unit, and thebudget is $4600.b. What is the optimum number of workers and the optimum number of units of capital?c. Show that at the optimum values of W and K, the ratio of the marginal productivityof labor( ∂q/∂W) to the marginal productivity of capital( ∂q/∂K) is the same as the ratio of the cost of a unit of labor to the cost of a unit of capital.d. Now assume that the product manufactured can be sold for $10 per unit. Give a function P (K, W ) for the profit associated with producing q units.e. What optimum combination of…If P(t) = 2 and h(t) = 1+3t, compute the following functions and values. If your answer is a number, round it to two decimal places. (P+h)(t) [ Choose ] [Choose ] P(t) / h(t) 25 28 h(P(t) 2^(10) 2^(t)/(1+3t) [P + h](1) 1+6^(t) 1+3(2^(t)) 20 [h-P](2) 2 (t) + 1 + 3t P(h(3)) TChoose J
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