Rationalize the denominator and simplify.
A. 
B. 
C. 
D. 
Answer: C
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Provide an appropriate response.Suppose that the second derivative of the function y = f(x) is y'' = (x - 3)(x + 8). For what x-values does the graph of f have an inflection point?
A. -3, -8 B. 3, -8 C. -3, 8 D. 3, 8
Solve the equation by making an appropriate substitution.x2/3 + 2x1/3 - 15 = 0
A. {-3, 5} B. {-27, 125} C. {-125, 27} D. {-5, 3}
3. Use vectors to find the measure of the angle at vertex B of triangle ABC, when A = (5, 2) B = (-4, 1) and C = (-1, -3). Round answer to two decimal places.
What will be an ideal response?
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = 8x5 + 36x4 + 36x3
What will be an ideal response?