Solve the problem.A zoom lens in a camera makes a rectangular image on the film that is 7 cm × 4 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 0.5cm/s and the width of the frame changes at 0.3 cm/s.
A. 4.7 m2/s
B. m2/2
C. 4.1 m2/s
D. 1.025 m2/s
Answer: C
Mathematics
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Determine the indefinite integral. Check your work by differentiation.dx
A. 18x2 - 3 + C
B. 18x4 - 6x2 + 3x + C
C. x4 -
x2 + 3x + C
D. 6x4 - 3x2 + 3x + C
Mathematics
The number of sales calls made by certain employees during a special time span are given. 141, 137, 136, 135, 134, 132, 131, 130, 130, 130, 126, 125, 125, 124, 124, 122, 122, 121, 121, 119.Find the inner-quartile range for the set of sales calls.
A. 10 B. 6 C. 22 D. 11
Mathematics
Provide an appropriate response.
Find sin A and round to the nearest ten-thousandth if a = 12, b = 10, and c = 15.6.
A. 1.200 B. 0.8333 C. 0.7692 D. 0.6410
Mathematics
Find f-1(x).f(x) =
A. f-1(x) =
B. No inverse function exists.
C. f-1(x) =
D. f-1(x) = 8x
Mathematics