Find cos 31.6°. Round the answer to four decimal places.

What will be an ideal response?


0.8517

Mathematics

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Find the interval of convergence of the series.

A. x < 14 B. -2 ? x ? 14 C. 5 ? x ? 7 D. -14 < x < 14

Mathematics

Approximate dx; n = 6, by (a) Simpson's rule and (b) the trapezoidal rule.Enter your answers in that order as just unlabeled real numbers rounded to two decimal places, separated by a comma.

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

Mathematics

Solve.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 19 minutes requires 9.5 gallons of water. Find the amount of water used in a shower lasting 9 minutes.

A. 171 gallons B. 4.5 gallons C. 4 gallons D. 5 gallons

Mathematics

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log4(x - 7) - log4(x + 1)

A. log4(x2 - 6x - 7)
B. log4-8
C. log4
D. log4

Mathematics