Solve the equation f(x) = 0 analytically and then use the graph of y = f(x) to solve the inequalities f(x) < 0 and f(x) = 5 log2 (2x) - 10

A. {4}; (0, 4); [4, ?)
B. {2}; (0, 2); [2, ?)
C. {2}; (2, ?); [0, 2)
D. {2}; (-?, 2); [2, ?)


Answer: B

Mathematics

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Use the method of undetermined coefficients to solve the differential equation.3 - 13 + 4y = xe-2x;   = -  and y =  when x = 0

A. y = e4x - ex/3 - xe-2x + e-2x 
B. y = e4x + ex/3 + xe-2x + e-2x 
C. y = e4x - ex/3 + xe-2x + e-2x 
D. y = e4x - ex/3 + xe-2x + e-2x 

Mathematics

Find the indicated probability.f(x) = e-x; [0, ?), P(x ? 1)

A. 0.3679 B. 0 C. 0.6321 D. The function f(x) is not a probability density function.

Mathematics

Calculate the arc length of the indicated portion of the curve r(t).r(t) = (5t sin t + 5 cos t)i  + (5 t cos t - 5 sin t)j ; -1 ? t ? 4

A. 75 B. 37.5 C. 42.5 D. 85

Mathematics

Graph the function by starting with a function from the library of functions and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = (x + 2)3

A.

B.

C.

D.

Mathematics