Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 2x - 2yInitial condition: y(0) = 0Solution candidate: y = 2xe- 2x
A. No
B. Yes
Answer: A
Mathematics
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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = 
A. f(x) = 6 - 
B. f(x) = 3 - 
C. f(x) = 6 - 
D. f(x) = 3 - 
Mathematics
Write the vector v in the form ai + bj, given its magnitude 
and the angle ? it makes with the positive x-axis.
= 13, ? = 90°
A. v = 13i - 13j) B. v = 13i C. v = 13i + 13j D. v = 13j
Mathematics
Write the number in trigonometric form. Let 0° ? ? < 360°.-
- i
A. 
(cos 315° + i sin 315°)
B. 
(cos 135° + i sin 135°)
C. 
(cos 225° + i sin 225°)
D. 
(cos 45° + i sin 45°)
Mathematics
Simplify.-9 + 8 - 20
A. 3 B. 21 C. 19 D. -21
Mathematics