Solve the problem.The graphs below show the first and second derivatives of a function
. Select a possible graph f that passes through the point P.f'?f"
?
A.
B.
C.
D.
Answer: A
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Find the mass of the wire that lies along the curve r and has density ?.C1: r(t) = (8 cos t)i + (8 sin t)j, 0 ? t ? ;C2: r(t) = 8j + tk, 0 ? t ? 1; ? = 7t5
A. units
B. ?5 units
C. ?5 units
D. units
Solve the problem.Suppose a cold front is passing through the United States at noon with a shape described by the function where each unit represents 100 miles.
Missouri is located at
and the positive y-axis points north.N
/> SSuppose the front moves south 340 miles and west 120 miles and maintains its shape. Give the equation for the new front and plot the new position of the front.
A. y = - (x + 1.2)2 - 3.4
N |



S |
B. y =

N |



S |
C. y =

N |



S |
D. y =

N |



S |
Solve the problem using your calculator.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. Use a graphing calculator to model the data with a linear function that predicts a student's current GPA as a function of his or her entering GPA. Entering GPA Current GPA 3.5 3.6 3.8 3.7 3.6 3.9 3.6 3.6 3.5 3.9 3.9 3.8 4.0 3.7 3.9 3.9 3.5 3.8 3.7 4.0
A. y = 5.81 + 0.497x B. y = 3.67 + 0.0313x C. y = 2.51 + 0.329x D. y = 4.91 + 0.0212x
Evaluate the polynomial.-5x + 9for x = 3
A. 4 B. -24 C. -30 D. -6