Find T, N, and B for the given space curve.r(t) = 
i + 
j + 3tk
A. T = 
(cos 1.333t)i - 
(sin 1.333t)j + 
k ; N = (-sin 1.333t)i - (cos 1.333t)j ; B = 
(cos 1.333t)i - 
(sin 1.333t)j - 
k
B. T = 
(cos 1.333t)i - 
(sin 1.333t)j + 
k ; N = (-sin 1.333t)i - (cos 1.333t)j ; B = - 
k
C. T = 
(sin 1.333t)i - 
(cos 1.333t)j ; N = (-sin 1.333t)i - (cos 1.333t)j ; B = 
(cos 1.333t)i - 
(sin 1.333t)j - 
k
D. T = 
(cos 1.333t)i - 
(sin 1.333t)j ; N = (-sin 1.333t)i - (cos 1.333t)j ; B = 
(cos 1.333t)i - 
(sin 1.333t)j - 
k
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = ex/y
A. 
= 
; 
= ex/y
; 
= 
= -ex/y
B. 
= 
; 
= 
; 
= 
= 
C. 
= 
; 
= -ex/y
; 
= 
= ex/y
D. 
= 
; 
= ex/y
; 
= 
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Find the vertical asymptotes, if any, of the graph of the rational function.
A. x = - 49 B. x = 8, x = 9 C. x = 8, x = 9, x = - 49 D. x = -8, x = -9
Express as a single logarithm and, if possible, simplify.log5 10 - log5 z
A. log10 
B. log5 
C. log5 (10 - z)
D. log5 
Write the reciprocal of the number.
A. 17
B. 
C. 
D. 