The vector r(t) is the position vector of a particle at time t. Find the angle between the velocity and the acceleration vectors at time t = 0.r(t) = sin-1(3t)i + ln(5t2 + 1)j + k

A.
B. 0
C.
D.


Answer: D

Mathematics

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Find the product.(2 - 5)2

A. 4 + 25
B. 129 + 20
C. 129 - 20
D. 4 - 25

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Find area of figure. Round to the nearest hundredth if necessary.Find the area of a rectangle measuring 5.8 yd by 21.41 yd.

A. 33.64 yd2 B. 248.356 yd2 C. 124.178 yd2 D. 27.21 yd2

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Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 2x3 - 4x - 9; [2, 3]

A. f(2) = -1 and f(3) = 33; yes B. f(2) = 1 and f(3) = -33; yes C. f(2) = 1 and f(3) = 33; no D. f(2) = -1 and f(3) = -33; no

Mathematics

Choose the equivalent expression for the given expression.sin2x

A. cos2x - 1 B. 1 -  cos2x  C. 1 +  cos2x  D. 1 -  csc2x 

Mathematics