Match the given graph with its polynomial function.
A. f(x) = x5 + 4x3 - x2 + 3x - 5
B. f(x) = x3 + x2 + x + 5
C. f(x) = x3 + 4x2 - x - 5
D. f(x) = -x3 + 4x2 + x - 5
Answer: C
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Find the center and radius of the circle whose graph is shown. Write the standard form of the equation of the circle.
A. r = 3; (h, k) = (4, -1); (x + 4)2 + (y - 1)2 = 9
B. r = 3; (h, k) = (4, -1); (x - 4)2 + (y + 1)2 = 9
C. r = ; (h, k) = (4, -1); (x - 4)2 + (y + 1)2 = 3
D. r = ; (h, k) = (4, -1); (x + 4)2 + (y - 1)2 = 3
If a square with side length 1 unit and a circle with circumference 1 unit are drawn on top of each other, will the square be inside or outside the circle? Explain.
What will be an ideal response?
For the differential equation:
(a) Find the equilibrium value(s). (b) Access the stability of each equilibrium value. (c) Determine the point(s) of inflection; and (d) Sketch sample solutions of the differential equation.
Solve for the specified variable. =
for P
A.
B.
C.
D.