Solve the problem.A zoom lens in a camera makes a rectangular image on the film that is 8 cm × 5 cm. As the lens zooms in and out, the size of the image changes. Find the rate at which the area of the image begins to change (dA/df) if the length of the frame changes at 0.8cm/s and the width of the frame changes at 0.2 cm/s.
A. 1.12 m2/s
B. 
m2/2
C. 7.4 m2/s
D. 5.6 m2/s
Answer: D
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Find the zeros of the function. Give approximate solutions rounded to three decimal places when necessary.f(x) = 5x2 + 2x - 6
A. -1.314, 0.914 B. 0, 0.4 C. -0.4, 0 D. -0.914, 1.314
Solve the problem.Find the center of mass of the region of constant density bounded from above by the sphere 
and from below by the cone 
A. 
= 0, 
= 0, 
= 
(2 + 
)
B. 
= 0, 
= 0, 
= 
(2 + 
)
C. 
= 0, 
= 0, 
= 
(2 + 
)
D. 
= 0, 
= 0, 
= 
(2 + 
)
Solve the problem.A license plate is to consist of 3 letters followed by 3 digits. Determine the number of different license plates possible if the first letter must be an N , M , or P and repetition of letters and numbers is not permitted.
A. 9,072,000 B. 162,000 C. 1,296,000 D. 1,386,000
Perform the indicated operation.7 gal 2 fl oz ÷ 2
A. 3 gal 2 qt 1 fl oz B. 3 gal 1 qt 1 fl oz C. 3 gal 9 fl oz D. 3 gal 3 qt 1 fl oz