Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(-1) = -
and f(-3) = 0, sketch the graph of f. Explain how you obtained the graph of f.
What will be an ideal response?
Graphs and explanations will vary to some degree. The graph of f should look similar to the following.
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Solve the problem.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 3 sec when the length is 36 inches, what is the period when 
(Round to the nearest hundredth.)
A. 0.75 sec B. 3.25 sec C. 3.75 sec D. 4.00 sec
Solve the problem.Find the equation for the tangent plane to the surface 
at the point 
A. x + y + z = 4 B. -6x - 6y + 8z = 1 C. x + y + z = 1 D. -6x - 6y + 8z = 4
Completely factor the polynomial or state that the polynomial is prime.729x3 + 512
A. (9x + 8)(81x2 + 72x + 64) B. (9x + 8)(81x2 - 72x + 64) C. (9x - 8)(81x2 + 72x + 64) D. (729x - 8)(x2 + 72x + 64)
Calculate the circulation of the field F around the closed curve C.F = (-x - y)i + (x + y)j , curve C is the counterclockwise path around the circle with radius 5 centered at (3, 10)
A. 50(1 + ?) B. 100? C. 50? D. 50(1 + ?) + 260