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:

Algebra

A branch of mathematics dealing with symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

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