Find T, N, and B for the given space curve.r(t) = (5t sin t + 5cos t)i + (5t cos t - 5 sin t)j  - 5k 

A. T = (-cos t)i  + (sin t)j; N = (sin t)i  + (cos t)j; B = -k
B. T = (-cos t)i  - (sin t)j; N = sin(t)i  - (cos t)j; B = 5k
C. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j; B = k
D. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j; B = -k


Answer: C

Mathematics

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