The functions ex, sin x, and cos x are related by the formula 
known as Euler's formula. Use an auxillary equation and Euler's formula to find the general solution of the differential equation. y" + 36y = 0
A. y = Ce(6 ± i)x = Ce6x(cos x + i sin x) = C1e6x cos x + C2e6x sin x
B. y = Ce(0 ± 6i)x = Ce0(cos 6x + i sin 6x) = C1 cos 6x + C2 sin 6x
C. y = Ce(0 ± 6i)x = Ce6x(cos x + i sin x) = C1e6x cos x + C2ex sin 6x
D. y = Ce(0 ± 6i)x = Ce0(cos 6x + i sin x) = C1 cos 6x + C2 sin x
Answer: B
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Test the vector field F to determine if it is conservative.F = -csc2 x csc yi - cot x cot y csc yj - cos xk
A. Not conservative B. Conservative
Solve.Acme Computer Products finds that the marginal revenue R in producing x computer networking connectors is given by the polynomial function 
dollars/connector. Find an equivalent expression for R(x) by factoring out 
x.
A. 
x
B. 
x(1200 - x)
C. 
x
D. 
x
Write the exponential equation in its equivalent logarithmic form.10-3 = 0.001
A. log3-3 = 0.10
B. log10
= 0.001
C. log30.
= -3
D. log10
= -3
Answer the question.Adam used a 6-foot piece of wood to make shelves. He divided it into 
pieces. How many shelves did Adam have?
A. 18 shelves B. 15 shelves C. 12 shelves D. 16 shelves