Use the method of variation of parameters to solve the differential equation.D2y + 8Dy + 12y = 5x
A. y = C1e-2x + C2e-6x + x
B. y = C1e-2x + C2e-6x + -
x
C. y = C1e2x + C2e6x - +
x
D. y = C1e-2x + C2e-6x - +
x
Answer: D
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Use the composition cancellation equations to decide whether or not the functions are inverses of each other.f(x) = and g(x) =
A. Yes B. No
Solve the problem.In a school survey, students showed these preferences for instructional materials.About how many students would you expect to prefer lectures in a school of 650 students?
A. About 117 students B. About 234 students C. About 18 students D. About 130 students
If the function is one-to-one, find its inverse. If not, write "not one-to-one."{(-7, -7), (-6, -7), (-5, -3), (-4, -9)}
A. {(-7, -7), (-6, -3), (-5, -9)} B. not one-to-one C. {(-7, -9), (-7, -3), (-5, -6)} D. {(-7, -7), (-9, -3), (-5, -6)}
Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).f(x) = ; g(x) =
What will be an ideal response?