Find the derivative of the function.y = (3x3 - 2x2 + 8x - 6)ex3

A. (9x5 - 6x4 + 24x3 -18x2)ex3
B. (9x2 - 4x + 8)ex3
C. (9x5 - 6x4 + 24x3 - 9x2 - 4x + 8)ex3
D. (9x5 - 6x4 + 24x3 + 9x2 - 4x + 8)ex3

Answer: C

Mathematics

What is the function called?

a. Constant function b. Identity function c. Cubic function d. Absolute value function

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Mathematics

Solve the differential equation.y'' + 8y' - 5y = 0

A. y =e^x (C₁ e^-4x + C₂ e^4x )
B. y = e^4x(C₁e^x + C₂e^-x )
C. y = e^-4x(C₁e^x + C₂e^-x )
D. y = e^-4x(C₁ cos x + C₂ sin x )

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Mathematics

Find the cardinal number of the set.Given:n(A)= 60n(B)= 68n(C)= 62n(A ? B)= 12n(A ? C)= 14n(B ? C)= 8n(A ? B ? C)= 6n(A' ? B' ? C')= 121Find n(U)

A. 293 B. 222 C. 283 D. 162

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Mathematics

Solve.Find the area under the curve from to x = .

A. 44 B. 22 C. -44 D. -22

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Mathematics