Question 1 (10 points) Refer to Sections 1 and 2 in the course notes. Let R06) = x4 4x3 + 5x2 + 7x 9. Compute R\"(-2) Your Answer: :] Answer Question 2 (10 points) Refer to Section 1 in the course notes and review differentiation rules from week 4 Compute % ((32 4)2 ) |s=5 Your Answer: [:1 Answer Question 3 (10 points) Refer to Section 1 in the course notes and review differentiation rules from week 4 9 aZIO . Round your answer to 2 decimal places. Compute G'(6) if G(a) = Your Answer: Question 4 (10 points) Refer to Sections 4 and 5 in the course notes Consider the function y=2t2+6t+5. The average rate of change between t= 1 and t=3 is: \\ ] 'v The instantaneous rate of change at t= 1 is: \\ i 'v Question 5 (15 points) Refer to Section 6 in the course notes A ball is thrown in the air from the edge of a cliff. Its height after t seconds is f(t)= -16t2+64t+128 feet. Do not include units in your answers. Just enter the number What is the height of the ball (in feet) after 3 seconds? \\ ] *v What is the velocity of the ball (in feet/sec) after 3 seconds? \\ i 6/ Is the ball going up or down after 3 seconds? (Enter U for up and D for down) i l 6/ After how many seconds will the velocity of the ball be 0? A What is the average rate of change (in feet/sec) of the position of the ball between t=1 and t=2 seconds? i i 'V Question 6 (10 points) Refer to Section 7 in the course notes The cost, in dollars, to produce x units of a given product is C(x) = 0. 002.763 0. 1x2 + 10x + 150. Find the additional cost to produce the 11th item. Do not enter the dollar sign in your answer and round to the nearest cent. Your Answer: :] Answer Question 7 (10 points) Refer to Section 7 in the course notes The cost, in dollars, to produce x units of a given product is C(36) = 0. 002x33 0. 1x2 + 10x + 150. Use the marginal cost to estimate the cost of producing an additional item when 7 have already been produced. Do not enter the dollar sign in your answer and round to the nearest cent. Your Answer: :] Answer Question 8 (10 points) Refer to Section 7 in the course notes. The cost to produce x units of an item is given by the function C(x). Match each question to the correct computation How many units should be produced for the marginal cost to be 100? What is the marginal cost for producing 100 items? How many items can be produced for $100? What is the cost to produce 100 items? Compute C(100) _ Solve C(x)=100 for x Compute C '(100) _ Solve C '(x)=100 Question 9 (10 points) Refer to Section 8 in the course notes The graph of y=f(x) is shown below. Describe x) by entering 0, a, b, c or d in the blanks The function is decreasing for The function is concave down for There is a relative minimum at x= 6/ U Question 10 (5 points) Refer to Section 8 in the course notes. The graph of y=g(x) is below. At x=1.4, g(x) is: O Decreasing and Concave Up 0 Increasing but Concavity cannot be determined from the graph 0 Increasing and Concave Down 0 Decreasing but Concavity cannot be determined from the graph 0 Decreasing and Concave Down 0 Increasing and Concave Up