Find the extreme values of the function subject to the given constraint.
A. Maximum: 8 at 
minimum: -8 at 
B. Maximum: 8 at 
minimum: 0 at 
C. Maximum: 8 at 
minimum: -8 at 
D. Maximum: 8 at 
minimum: 0 at 
Answer: A
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Find the length of the curve.y = 
(x4/3 - 2x2/3) from x = 1 to x = 64
A. 275
B. 
C. 
D. 
If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (cos 5t)i + (4 sin t)j
A. a = (-5 cos 5t)i + (4 sin t)j B. a = (-25 cos 5t)i + (-4 sin t)j C. a = (-25 cos 5t)i + (-16 sin t)j D. a = (25 cos 5t)i + (-4 sin t)j
Evaluate the integral.
A. (1/2)x2e2x - xe2x + (1/4)e2x + C B. (1/2)x2e2x - (1/4)xe2x + (1/4)e2x + C C. (1/2)x2e2x - (1/2)xe2x + C D. (1/2)x2e2x - (1/2)xe2x + (1/4)e2x + C
Provide an appropriate response.You want to play a lottery that uses 50 numbers. How many combinations are possible if you need to pick 5 numbers? Represent as a factorial and give the solution.
What will be an ideal response?