Let f(a) = a4 + 2x + 4x- + 2x. 12 Then f'(a ) is X andf'(1) is -0.256 X 8 36 f"(a) is + 4 X and f"(1) is 0.1216 Xsyntax error. Check your variables you might be using an incorrect one. 313(4) isi groom x , be using an incorrect one. and W4) isl 148.5892? Question 4 > Let g(s) = (2s - 3) . Then g'(s) is g'(3) is g" (s) is and g"(3) is. Question 5 Let f(ac) = a2 + 10x + 24 2x + 8 (a) f'(5) = (b) f"(5) = [NOTE: There are two ways to do this problem. The first is the quotient rule. The second is much easier and does not use the quotient rule.]. Question 6 The following quotation is a statement about a quantity of something changing over time. Let f(t) represent the quantity at time t. "Unemployments rose again, but the rate of increase is smaller than last month" a. The first derivative is O negative O zero O can not be determined O positive b. The second derivative is O negative O positive O zero O can not be determined. Question 7 The following quotation is a statement about a quantity of something changing over time. Let f(t) represent the quantity at time t. "The population is still rising and at a faster rate than last year" a. The first derivative is O can not be determined O zero O negative O positive b. The second derivative is O zero O negative O can not be determined O positiveMark the critical points on the following graph. 16 12 8 4 -4 -3 -2 4 -4 -8 12 16 20 Clear All Draw: DotConsider the function f(a) = -2x3+ 33x -168x + 1. Find the critical numbers. Find the interval(s) where f ( ) is increasing (4,7 ) Find the interval(s) where f (a ) is decreasing (-00,4 ) and( 7,00 ) x invalid interval notation.The function f(a) = 2a - 42x' + 270x + 3 has one local minimum and one local maximum. This function has a local minimum at a = with function value and a local maximum at a = with function value\f. Question 3 -4 -B The function graphed above has: Positive derivative on the interval(s) Negative derivative on the interval(s). Question 4 Consider the function f(x) = -2x* + 39x2 - 240x +9. Find the critical numbers. Find the interval(s) where f(@ ) is increasing Find the interval(s) where f(x) is decreasingX Question 5 v Score on last try: 0 of 1 pts. See Details for more. > Next question 5 Get a similar question You can retryr this question below Consider the function x) = 3:1: + 7931. Find the intervals where x} is increasing invalid interval notation. Find the intervals where x} is decreasing invalid interval notation. X Question 11 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below The function f(a) = 5x + 2x has one local minimum and one local maximum. This function has a local maximum at * = X with value 2v 10 and a local minimum at x = X with value -2V 10 XX Question 13 Score on last try: 0 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below The Pear company sells pPhones. The cost to manufacture a pPhones is C(a) = -24x + 45000x + 19386 dollars (this includes overhead costs and production costs for each pPhone). If the company sells a pPhones for the maximum price they can fetch, the revenue function will be R(a) = -30x- + 225000x dollars. How many pPhones should the Pear company produce and sell to maximimze profit? (Remember that profit=revenue-cost.) X= 1500 XQuestion \"I4 1- Score on last try: 0.15 of1 pts. See Details for more. > Next question 3 Get a similar question You can retry,r this question below The cost, in dollars, to produce :1: designer dog leashes is C(33) = 2.11: l 7, and the revenue function, in dollars. is R(m) = 3:1:2 l 86:1: Find the profit function. 13(3) =i as? + 84x r I as Find the number of leashes wh'ch need to be sold to maximize the profit. 14 J 0' leashes v J .36 Find the maximum profit. I681 _ Find the price to charge per leash to maximize profit. 516 x dollars v V 0 What would be the best reasons to either pay or not pay that much for a leash? 36.85 A J . Question 15 Score on last try: 0 of 1 pts. See Details for more. Get a similar question You can retry this question below 0.7t The concentration of a drug t hours after being injected is given by C(t) = Find the time 12 + 7 when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places. 8.36 x hours