Use the integral test to determine whether the series converges.

A. diverges
B. converges


Answer: A

Mathematics

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Provide an appropriate response. The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, P is the principal, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $1,000 at an interest rate of 8% for 20 years if it is compounded continuously.

A. $4,660.96 B. $39,810.72 C. $4,953.03 D. $470.00

Mathematics

Simplify the fraction. If the fraction is already simplified, so state.

A.
B.
C. simplified
D.

Mathematics

Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.tan ? = , ? < ? < Find cos(2?).

A.
B. - 
C.
D. - 

Mathematics

Find the derivative of the function.y = cos e-5x

A.  = 5 sin e-5x
B.  = 5e-5xsin e-5x
C.  = -5e-5x sin e-5x
D.  = e-5x cos e-5x

Mathematics