Answer the question, concerning the use of substitution in integration.If we use u = x + e as a substitution to find  then which of the following would be a correct result?

A.
B.
C.
D. None of the above


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

Mathematics

Provide an appropriate response.Joe and Sue have agreed to pool their savings when they have saved the same amount of money. Joe can save $125 a week but he must use his first $375 to pay off his car. Sue has been saving $75 a week for 13 weeks already. When will they pool their savings? How much will they each have saved?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.This chart shows the number of meals served in a restaurant during each of the past 4 months. Assume that the information in the chart defines a function with the name g. State the range of g.

A.
B.
C.
D.

Mathematics

Provide an appropriate response.Consider the arrangements of sixteen students in a line. Are these combinations, permutations, or neither?

A. Combinations B. Permutations C. Neither

Mathematics