Calculate the arc length of the indicated portion of the curve r(t).r(t) = 11t4i + 10t4j + 2t4k, 1 ? t ? 2

A. 3375
B. 843.75
C. 56.25
D. 225


Answer: D

Mathematics

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Solve the problem.The cost of a rental car for the weekend is given by the function C(x) = 137 + 0.25x, where x is the number of miles driven. Find and interpret the C-intercept of the graph of this function.

A. 0.25; There is a flat rate of $0.25 to rent a car in addition to the charge for each mile driven. B. 0.25; The cost of the rental car increases by $0.25 for each mile driven. C. 137; There is a flat rate of $137 to rent a car in addition to the charge for each mile driven. D. 137; The cost of the rental car increases by $137 for each mile driven.

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Plot the point whose polar coordinates are given.(-4, 2?/3)

A.

B.

C.

D.

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The tangent line to the graph of  at  is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of

style="vertical-align:middle;" /> at P.
?

?

A. -3
B. 3
C. -4
D. -5
E. does not exist

Mathematics