Calculate the direction of  and the midpoint of line segment P1P2.P1(-6, 6, 4) and P2(-4, 12, 1)

A. i + j + k
B. i + j - k
C. i + j - k
D. i + j - k


Answer: C

Mathematics

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Find T, N, and B for the given space curve.r(t) = (6t sin t + 6cos t)i + (6t cos t - 6 sin t)j  - 2k 

A. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j; B = -2k B. T = (cos t)i  + (sin t)j; N = (-sin t)i  + (cos t)j; B = k 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

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Answer the question.f(x) = Is f continuous at x = 0?

A. Yes B. No

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Solve the problem. Use 3.14 as an approximation for ? where appropriate.A certain marine engine has cylinders that are 3.28 inches in diameter and 5.69 inches deep. Find the total volume of 4 cylinders (to the nearest hundredth).

A. 48.05 inches3 B. 384.43 inches3 C. 192.22 inches3 D. 468.82 inches3

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Find all solutions of the equation in the interval [0, 2?).csc  = 

A.
B.
C.
D. {?}

Mathematics