Solve the Problem $T$ When the Width Is $1.1 \mathrm {~cm}$ And the Length Is

question 275

Multiple Choice

Solve the problem.
-A rectangular steel plate expands as it is heated. Find the rate of change of area with respect to temperature $T$ when the width is $1.1 \mathrm {~cm}$ and the length is $2.4 \mathrm {~cm}$ if $\mathrm { dl } / \mathrm { dt } = 1.9 \times 10 ^ { - 5 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ and $\mathrm { dw } / \mathrm { dt } = 8.5 \times 10 ^ { - 6 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ .

• A) \(1.6 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)
• B) \(2.6 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)
• C) \(2.1 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)
• D) \(4.1 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)

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Definitions:

Positive Psychology

An area within psychology dedicated to examining how humans thrive and function positively across various aspects of life, including biological, individual, interpersonal, organizational, cultural, and worldwide perspectives.

Happiness

A state marked by contentment and a high sense of well-being, where individuals experience emotions from mild satisfaction to extreme delight.

Pleasant Life

A concept referring to a quality of life characterized by the frequent experience of positive emotions and enjoyment in daily activities.

Biopsychosocial Approach

A unified approach that blends the biological, psychological, and social-cultural dimensions to explore and interpret health and sickness.