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:

Collectivism

A cultural or societal ethos that emphasizes the importance of groups and the interconnectedness of individuals within a society, contrasting with individualist orientations.

Inclusion-Exclusion

Principles or practices within groups or organizations that either facilitate the integration and acceptance of diverse members or delineate boundaries that exclude or limit participation of certain individuals.

Continuum

A continuous sequence in which adjacent elements are not perceptibly different from each other, although the extremes are quite distinct.

Need-Threat Model

A psychological framework that explains how individuals respond to situations that threaten their essential needs.