Calculate the arc length of the indicated portion of the curve r(t).r(t) = t3/2i  + (10t sin t)j + (10t cos t)k ; -4 ? t ? 6

A. 300
B. 540
C. 280
D. 200


Answer: D

Mathematics

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Part of $9,000 is invested at 11%, another part at 13%, and the remainder at 15% yearly interest. The total yearly income from the three investments is $1,210. The sum of the amounts invested at 11% and 13% equals the amount invested at 15%. Determine how much is invested at each rate, if 2,500 is invested at first rate. 

A. $2,500 at 11%, $2,000 at 13%, and $4,500 at 15% B. $3,000 at 11%, $1,000 at 13%, and $4,000 at 15% C. $3,500 at 11%, $1,000 at 13%, and $4,500 at 15% D. $3,000 at 11%, $2,000 at 13%, and $4,000 at 15% E. $2,000 at 11%, $3,000 at 13%, and $3,500 at 15%

Mathematics

Add or subtract and write answer in lowest terms. +  + 

A.
B.
C.
D.

Mathematics

Use the Leading Coefficient Test to determine the end behavior of the polynomial function.f(x) = x - 2x2 - 2x3

A. falls to the left and rises to the right B. rises to the left and rises to the right C. rises to the left and falls to the right D. falls to the left and falls to the right

Mathematics

Reduce:

Mathematics