Determine the integral by making an appropriate substitution.Enter your answer with any coefficients in front as integers or reduced fractions of form . No parentheses around arguments of functions.

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


-ln|cos x| + C

Mathematics

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Find the indicated trig function of ?, if ? is an angle in standard position with the terminal side defined by the given point.(4, 3); Find tan ?.

A.
B.
C.
D.

Mathematics

Write an expression for the general or nth term, an, for the geometric sequence.1, -3, 9, -27, . . .

A. an = 1 ? (-3)n B. an = 1 ? (-3)n-1 C. an = -1 ? 3n D. an = 1 ? 3n-1

Mathematics

Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest unless otherwise indicated.Chris Owens bought a new computer system. To pay for the system, he borrowed  from the credit union at 10% interest for 110 days. Find the interest.

A. $339.97 B. $103.88 C. $102.46 D. $102.93

Mathematics

Find an equation of the line that contains the given point and is parallel to the given line.-3x - y = 5, (-5, -8)

A. y = -3x - 23 B. y + 8 = mx + 5 C. y = -3x + 23 D. y + 8 = x + 5

Mathematics