Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 4x - 4yInitial condition: y(- 4) = 0Solution candidate: y = (x + 4)e- 4x
A. Yes
B. No
Answer: A
Mathematics
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Find 
. Write the answer in polar form with the argument between 0° and 360°z1 = 10(cos 45° + i sin 45°), z2 = 5(cos 15° + i sin 15°)
A. 2(cos 30° + i sin 30°)
B. 2(cos 45° + i sin 45°)
C. 
(cos 45° + i sin 45°)
D. 
(cos 30° + i sin 30°)
Mathematics
Solve the problem.Joe has a collection of nickels and dimes that is worth $4.25. If the number of dimes was doubled and the number of nickels was increased by 10, then the value of the coins would be $7.85. How many dimes does he have?
A. 10 B. 23 C. 15 D. 31
Mathematics
Find the area of the shaded region.
?
What will be an ideal response?
Mathematics
Find the y-intercept of the polynomial function.f(x) = -x2 - 2x + 8
A. -8 B. -1 C. 8 D. 0
Mathematics