Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 5 cm × 2 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.6 cm/s and the width of the image is changing at 0.1 cm/s.

A. 1.7 cm2/sec
B. 6.4 cm2/sec
C. 3.2 cm2/sec
D. 3.4 cm2/sec


Answer: A

Mathematics

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Provide an appropriate response.Find the area of a sector of a circle, A, if ? = 70° and r = 5 in.

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Find another representation, (r, ?), for the point under the given conditions., r > 0 and 2? < ? < 4?

A.
B.
C.
D.

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Factor completely.3x3 + 3x2y - 60xy2

A. 3x(x + 4y)(x - 5y) B. (3x2 + 12xy)(x - 5y) C. Prime D. 3x(x - 4y)(x + 5y)

Mathematics

Graph. State the domain, range, and vertical asymptote of the function.f(x) = ln(x - 3) - 3

A. Domain: (3, ?), range: (-?, ?)
Vertical asymptote: x = 3

B. Domain: (-3, ?), range: (-?, ?)
Vertical asymptote: x = -3

C. Domain: (3, ?), range: (-?, ?)
Vertical asymptote: x = 3

D. Domain: (-3, ?), range: (-?, ?)
Vertical asymptote: x = -3

Mathematics