Solve the Problem $7 \mathrm {~cm} \times 6 \mathrm {~cm}$ Find the Rate at Which the Area of the Zoom

question 462

Multiple Choice

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 $7 \mathrm {~cm} \times 6 \mathrm {~cm}$ . Find the rate at which the area of the image is changing $( \mathrm { dA } / \mathrm { df } )$ if the length of the image is changing at $0.5 \mathrm {~cm} / \mathrm { s }$ and the width of the image is changing at $0.4 \mathrm {~cm} / \mathrm { s }$ .

• A) \(11.6 \mathrm {~cm} ^ { 2 } / \mathrm { sec }\)
• B) \(11.8 \mathrm {~cm} ^ { 2 } / \mathrm { sec }\)
• C) \(5.8 \mathrm {~cm} ^ { 2 } / \mathrm { sec }\)
• D) \(5.9 \mathrm {~cm} ^ { 2 } / \mathrm { sec }\)

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Definitions:

Paid-In Capital

Section of stockholders’ equity representing what stockholders have invested into the corporation.

Retained Earnings

Retained earnings represent the cumulative amount of net income retained in the company rather than distributed to shareholders as dividends.

Dividends Payable

A financial accounting term referring to the declared dividends to be paid to a corporation's shareholders out of current or retained earnings.