Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: 9xy' + 9y = cos xInitial condition: y(?) = 0Solution candidate: y = 
A. Yes
B. No
Answer: B
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Solve the problem.Find the average distance from a point 
in the first two quadrants of the disk 
to the origin.
A. 
B. 1
C. 2
D. 
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = 2 + 8x - x2; (-5, 5)
A. local minimum at (4, 50) B. local maximum at (-4, 50) C. local minimum at (-4, 18) D. local maximum at (4, 18)
Find the vertex, focus, and directrix of the parabola with the given equation.(x + 4)2 = -4(y + 1)
A. vertex: (-4, -1) focus: (-4, -2) directrix: y = 0 B. vertex: (-1, -4) focus: (-1, -5) directrix: y = -3 C. vertex: (-4, -1) focus: (-4, 0) directrix: x = -2 D. vertex: (4, 1) focus: (4, 0) directrix: y = 2
Simplify the expression. Assume that all variables are positive when they appear.
A. 
B. 7
C. 
D. 7