Find the tangential and normal components of the acceleration.r(t) = (t - 7)i + (ln(sec t) - 8)j + 8k, -?/2 < t < ?/2
A. a = (cos t)T + (cos t)N
B. a = (csc t)T + (sec t)N
C. a = (sec2 t)T + (cos t)N
D. a = (sec t tan t)T + (sec t)N
Answer: D
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Find the particular solution to the given differential equation that satisfies the given conditions.D2y - 6 Dy + 9y = 0; Dy = 2 and y = 5 when x = 0
A. y = (5 - 13x)e3x B. y = (5 + 13x)e3x C. y = (5 - 13x)e-3x D. y = (c1 + c2x)e3x
Provide an appropriate response.By only examining the last two digits of 6,380, which number is it divisible by?
A. 2 B. 4 C. 9 D. 8
Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = 
+ 1
A. f-1(x) = (x - 1)3
B. f-1(x) = x3 - 1
C. f-1(x) = 
- 1
D. f-1(x) = (x + 1)3
Use the given vectors u, v, w, and z to draw the indicated vector. 
z - v
A. 
B. 
C. 
D. 