Given that an object is at position s (t ) = 2t ? 5cos(t) at any time t , find each of the following.
a) v (t ).
b) a(t ).
c) The position, velocity and acceleration when t = ?/3.
(a) 2 + 5sin t
(b) 5cos t
(c) 
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Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere 
and on the sides by the cylinder 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
B. 
C. 
D. 
Factor the polynomial completely. If the polynomial is prime, so state.x2 + 3x - 40
A. x2 + 3x - 40 B. (x - 8)(x + 1) C. (x + 8)(x - 5) D. (x - 8)(x + 5)
Evaluate.Given f(x) = 5x + 4 and g(x) = x2 + 5x - 8, find (f ? g)(x).
A. x3 - 29x2 - 35x - 35 B. 6x3 + 31x2 + 20x - 31 C. x2 - 10x + 4 D. 5x3 + 29x2 - 20x - 32
Determine the direction in which the parabola opens, and the vertex.x = -(y + 3)2 - 8
A. Opens to left; (-8, 3) B. Opens to left; (-3, -8) C. Opens to left; (-8, -3) D. Opens to right; (-3, -8)