Use a trigonometric substitution to evaluate the integral.

A. tan-1   + C
B. sin-1   + C
C. sinh-1   + C
D. cosh-1   + C


Answer: C

Mathematics

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Solve the right triangle. If two sides are given, give angles in degrees and minutes.A = 16° 21', c = 225 ftRound side lengths to two decimal places.

A. B = 73° 39'; a = 62.77 ft ; b = 215.01 ft B. B = 74° 38'; a = 63.34 ft; b = 211.90 ft C. B = 73° 39'; a = 63.34 ft; b = 215.90 ft D. B = 73° 38'; a = 66.54 ft; b = 217.10 ft

Mathematics

Find the mean, median, and mode. Round to the nearest tenth when necessary.Given these board lengths: 20.2, 1.2, 5, 5.8, 16, 20.2, 5, 1.2, 20.2, 20.2

A. 9.6, 10.9, 5 B. 11.5, 10.9, 20.2 C. 12.7, 10.9, two modes 5 and 20.2 D. 9.6, 10.9, two modes 5 and 20.2

Mathematics

Solve the system by using Gaussian elimination with backward substitution or by reducing the matrix to reduced-row echelon form.4x + 4y + z = 154x - 5y - z = -14x + y + 3z = 7

A. No solution B. (-1, 2, 2) C. (2, 2, -1) D. (2, -1, 2)

Mathematics

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.f(x) = -5x2 - 15x

A. minimum; 
B. maximum; 
C. minimum; 
D. maximum; 

Mathematics