Find the integral using an appropriate trigonometric substitution.


Mathematics

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Without graphing the function, determine its amplitude or period as requested.y = -2 sin 5xFind the amplitude.

A. 2
B.
C.
D.

Mathematics

For what value of the constant c is the function f continuous on (–?, ?)?

For what value of the constant c is the function f continuous on (–?, ?)?

Mathematics

Solve the problem.A moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the moving firm for x hours. Find the slope-intercept form of the equation.

A. y = 40x + 45 B. y = 45x - 40 C. y = 40x - 45 D. y = 45x + 40

Mathematics

Find the value of the constant k so that the function is a probability density function in the indicated interval. ? ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics