Find the Slope of the Curve at the Indicated Point $\mathrm { T }$

question 84

Multiple Choice

Find the slope of the curve at the indicated point.
-A rectangular steel plate expands as it is heated. Find the rate of change of area with respect to temperature $\mathrm { T }$ when the width is $1.3 \mathrm {~cm}$ and the length is $2.2 \mathrm {~cm}$ if $\mathrm { dl } / \mathrm { dt } = 1.4 \times 10 ^ { - 5 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ and $\mathrm { dw } / \mathrm { dt } = 8.2 \times 10 ^ { - 6 } \mathrm {~cm} / { } ^ { \circ } \mathrm { C }$ .

• A) \(3.6 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)
• B) \(1.8 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)
• C) \(2.9 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / \mathrm { C }\)
• D) \(1.1 \times 10 ^ { - 5 } \mathrm {~cm} ^ { 2 } / { } ^ { \circ } \mathrm { C }\)

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