Solve the differential equation subject to the initial condition.
+ y = 2ex; y(0) = 16
A. y = 16ex
B. y = 2ex + 13e-x
C. y = 4e2 + 20e-x
D. y = ex + 15e-x
Answer: D
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Graph the function.A contractor is hired to build a gazebo in the back yard of a customer. The floor of the gazebo will be in the shape of a hexagon. The formula for the area of a hexagon is where s is the length of the side of the hexagon in feet. The side of the hexagon must be between 4.5 ft and 5.7 ft. Plot the graph of the area of the floor of the gazebo.
A.
B.
C.
D.
Write a formula for the general term, or nth term, for the given sequence.-3, 9, -27, 81, . . .
A. an = -9n-1 B. an = -3 + (-3)n C. an = -3(-3)n-1 D. an = -3(-3)n
Provide an appropriate response.Determine whether the statement is true or false. If it is false, give the correct answer. Explain. ?
= x
What will be an ideal response?
Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x4 + 20x2 + 64
A. f(x) = (x + 2i)(x - 2i)(x + 4i)(x - 4i) B. f(x) = (x + 2 + 4i)2(x + 2 - 4i)2 C. f(x) = (x + 2i)2(x + 4i)2 D. f(x) = (x + i)(x - i)(x + 8i)(x - 8i)