Find the general nth term of the given arithmetic sequence.-1, 1, 3, 5, 7, . . .
A. an = 2n - 3
B. an = -1 + (2)n-1
C. an = 3n - 2
D. an = n + 2
Answer: A
Mathematics
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Find the torsion of the space curve.r(t) = (9t sin t + 9 cos t)i + (9t cos t) - 9 sin t)j - 9k
A. ? = 1 B. ? = 0 C. Undefined D. ? = -1
Mathematics
Assuming that the equations define x and y implicitly as differentiable functions 
find the slope of the curve 
at the given value of t.x cos t + x = 2t, y = t sin t + t, t = 
A. 2 + ?
B. 
C. 
D. 2
Mathematics
Find the integral.
dx
A. 
e5x + C
B. 
ln |1 + 4x5| + C
C. 
ln |1 + 4x4| + C
D. 
e4x + C
Mathematics
Simplify the difference quotients 
and 
for the following function. Rationalize the numerator when necessary.f(x) = 
A. 
; 
B. - 
; - 
C. - 
; - 
D. 
; 
Mathematics