Simplify without using a calculator.361/2

A. 24
B. 6
C. 3
D. 12


Answer: B

Mathematics

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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 ; -3 ? t ? 5

A. 360 B. 190 C. 240 D. 160

Mathematics

Express the integrand as a sum of partial fractions and evaluate the integral.

A. ln + C
B. 4ln - 3ln + C
C. 3ln + 3ln + C
D. 3ln + 3ln + C

Mathematics

Use the Comparison Test to determine if the series converges or diverges.

A. converges B. diverges

Mathematics

Evaluate the integral.dx

A. 4 sin 2x -  sin3 2x + C
B. 8 sin 2x -  sin3 2x + C
C. 4 sin 2x -  cos3 2x + C
D. 4 sin 2x +  sin3 2x + C

Mathematics