Solve the problem.The amplitude of the sinusoidal function  is A. If the amplitude is made to decrease steadily with time, t, according to the relation  then the wave described by  will eventually be damped out. Using the first three terms of the series expansion for  find the values of A for 

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A. 1 ; 0.836

B. 1 ; 1.196

C. 0 ; 0.836

D. 0 ; 1.095

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Answer: A

Mathematics

Solve the exponential equation. Round to three decimal places when necessary.e-t = 0.06

A. 2.613 B. -2.813 C. 2.913 D. 2.813

Solve.Find the eccentricity of an ellipse whose vertices are (-24, 0) and (24, 0) and whose foci are (-14, 0) and 

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

Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = (x + 1)(x - 4)(x - 1)2

A. x = -1, crosses the x-axis; x = 4, crosses the x-axis; x = 1, touches the x-axis and turns around B. x = 1, crosses the x-axis; x = -4, touches the x-axis and turns around; x = -1, touches the x-axis and turns around C. x = 1, crosses the x-axis; x = -4, crosses the x-axis; x = -1, touches the x-axis and turns around D. x = -1, crosses the x-axis; x = 4, crosses the x-axis; x = 1, crosses the x-axis

Find the area, if it exists, of the region under the graph of y=f(x) and to the right of x=1. ?   ?

A. 49 B. 50 C. 8 D. 7 E. does not exist