Calculate the arc length of the indicated portion of the curve r(t).r(t) = t3/2i  + (10t sin t)j + (10t cos t)k ; -3 ? t ? 5

A. 360
B. 190
C. 240
D. 160


Answer: D

Mathematics

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Write an equivalent double integral with the order of integration reversed.

A.
B.
C.
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Find the domain and range of the inverse of the given function.f(x) = x3 + 5

A. Domain: [0, ?); range: [0, ?) B. Domain: all real numbers; range: [5, ?) C. Domain and range: all real numbers D. Domain: [5, ?); range: all real numbers

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Divide to find the exact answer. Express the answer as a whole or mixed number when possible and simplify.3 ÷ 2

A. 1
B. 1
C. 2
D. 1

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Solve the problem.The volume V of a gas at constant temperature varies inversely as the pressure P on it. The volume of a gas is  under a pressure of  What will be its volume under a pressure of 30 kg/cm2?

A. 315 cm3 B. 139 cm3  C. 126 cm3 D. 350 cm3

Mathematics