Given that an object is at position s (t) = cos(2t)/2 at any time t , find each of the following.
a) v (t ) .
b) a(t ) .
c) The position, velocity and acceleration when t = 7?/6.
(a) ?sin (2t )
(b) ?2cos (2t)
(c) 
Mathematics
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Solve the problem.On a math test, 5 of the 14 students are to get an A, 4 students a B, 3 students a C, and 2 students a D. How many different ways can the grades be assigned to the students?
A. 84,084 B. 1,681,680 C. 420,420 D. 2,522,520
Mathematics
Evaluate the line integral along the curve C.
ds , C is the curve r(t) = (5t7 cos t)i + (5t7 sin t)j + 5t7k , 0 ? t ? 7
A. 
(4 - 
)
B. 
(4 - 
)
C. 0
D. 
(4 + 
)
Mathematics
Solve the problem.In how many ways can a group of 7 students be selected from 8 students?
A. 56 B. 1 C. 7 D. 8
Mathematics
Evaluate the determinant.
A. -1 B. 0 C. -90 D. 90
Mathematics