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
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Write the decimal as a fraction or mixed number in simplest form.0.264
A.
B.
C.
D.
Find the limit.
A. -1
B.
C. 1
D. No limit
Simplify the fraction.
A. 12 B. 13 C. 14 D. 64
Solve the problem.If a rocket is propelled upward from ground level, its height h in meters after t sec is given by h(t) = -9.8t2 + 68.6t. During what interval of time will the rocket be higher than
A. The rocket will be higher than 98 m for times between, but not including, 4 sec and 7 sec. B. The rocket will be higher than 98 m for times between, but not including, 2 sec and 5 sec. C. The rocket will be higher than 98 m for times up to, but not including, 5 sec. D. The rocket will be higher than 98 m for times up to, but not including, 2 sec.