Solve.A boat goes 810 miles downstream in the same time it can go 720 miles upstream. The speed of the current is 6 miles per hour. Find the speed of the boat in still water.

A. 108 mph
B. 153 mph
C. 102 mph
D. 96 mph


Answer: C

Mathematics

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Evaluate the integral.

A. - e-2x(5e6x - 2) + C
B. - e-6x + C
C. -5e-8x(8e2x + 1) + C
D. - e-8x(40e6x + 2) + C

Mathematics

Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e3x cos 3x + c2e3x sin 3x

A. D2y + 6Dy - 18y = 0 B. D2y + 6Dy + 18y = 0 C. D2y - 6Dy - 18y = 0 D. D2y - 6Dy + 18y = 0

Mathematics

x2 - 5x + 6 = 0.

Using the quadratic equation, solve for x.

Mathematics

Solve the system of equations by elimination.

A. (-3, 1) B. (1, -3) C. infinitely many solutions D. no solution

Mathematics