Student: Sterling White Instructor: David Scott Course: Math1325 Calculus for Business Assignment: 10.5 Implicit Differentiation Date: 11/21/22 10. Find x' for x(t) defined implicitly by x" + t x + t* - 8 =0 and then evaluate x' at the point ( - 2,2). -... .. ..".". . x' = | x' | ( -2,2 ) = (Simplify your answer.)Student: Sterling White Instructor: David Scott Date: 11/21/22 Course: Math 1325 Calculus for Business Assignment: 10.5 implicit Differentiation 9. Use implicit differentiation to find y' and then evaluate y' at ( - 1, 1). x In y + 4y = 3x y' = y'l(-1,1) = L (Simplify your answer.)Student: Sterling White Instructor: David Scott Date: 11/21/22 Course: Math1325 Calculus for Business Assignment: 10.5 Implicit Differentiation 1. Use implicit differentiation to find y' and then evaluate y' at the point (2,4). y - 6x + 8=0 . . .. y' = y'1(2,4) = (Simplify your answer.)iStudent: Sterling White Instructor: David Scott- Assignment2707b2vative and Marginal (gate: 11f21/22 Course: Math'1325 Calculus for Business Values _ 8. The pricedemand equation and the cost function for the production of table saws are given. respectively, by x: 12,800 32p and C(x) = 60,000 + 50x. where x is the number of saws that can be sold at a price of 5p per saw and C(x) is the total cost (in dollars) of producing x saWS. Complete parts (A) through (I) below. (A) Express the price p as a function of the demand x. and nd the domain of this function. The price function is p = :l. Determine the domain of this function. Select the correct choice below and fill in the answer hordes) within your choice. (B) Find the marginal cost. The marginal cost is [:I. (C) Find the revenue function and state its domain. The revenue function is R(x) = :l. Determine the domain of this function. Select the correct choice below and ll in the answer box{es) within your choice. on. x217.7,77.,,.-77 o C- x > 57.777777, 0 o. (D) Find the marginal revenue. The marginal revenue is l l. (E) Find R'(2,100) and R'(4,500) and interpret these quantities. Find and interpret R'(2,100). Select the correct choice below and ll in the answer boxes within your choice. (Simplify your answers.) {7.73 A- R'(2.100) = l at a production level of 7 77 7 revenue is increasing at the rate of 5; 5 per Saw. 0 3' R't2.100) 7._.._.____._ '- g; at a revenue of 5 per saw. saw production is decreasing at the rate of per dollar. 3; at a revenue of 5? 7 7 ': per saw. saw production is increasing at the rate of per dollar. 7 revenue is decreasing at the rate of $7 per gr} '3' R'(2.100)= [77 l; at a production level of? saw. Find and interpret R'(4,500). Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) g; at a revenue of 5% C: A. R'l4.500)= 7 per saw, saw production is increasing at the rate of 77 per dollar. C! B. R'(4.500) : at a revenue of $ per saw, saw production is decreasing at the rate of pet-dollars\