Calculate the arc length of the indicated portion of the curve r(t).r(t) = (8cos3 4t)j  + (8sin3 4t)k; ? ? t ? ?

A. 12
B. 4
C. 24
D. 0


Answer: A

Mathematics

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FInd the tangential and normal components of the acceleration.r(t) = (t + 2)i + (ln(cos t) - 8)j + 7k

A. a = (sec t tan t)T + (sec t)N  B. a = (sec t tan t)T - (sec t)N  C. a = (-sec t tan t)T + (sec t)N  D. a = (-sec t tan t)T - (sec t)N 

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Simplify.

A. 0 B. -3 C. ±3 D. 3

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Graph the function with a graphing utility.y = 

A.

B.

C.

D.

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Use deductive reasoning to determine the number that will always be produced from the following procedure. Pick a number. Add 10 to the number and multiply the sum by 5. Subtract 10 and then decrease this difference by 5 times the original number.


Mathematics