Use the information given about the angle ?, 0 ? ? ? 2?, to find the exact value of the indicated trigonometric function.sin ? = -
,
< ? < 2?Find cos
.
A.
B.
C. -
D. -
Answer: D
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Find all solutions of the equation in the interval [0, 2?). Round the solution to four decimal places.2 csc x - 9 = 0
A. {0.2241, 2.9175} B. {0.2241} C. {0.2241, 6.0591} D. {0.2241, 3.3657}
Evaluate the expression without using a calculator.log8
A. 1 B. -1 C. 8 D. -8
Find the domain and range of the relation.{(-15.02, -8.91), (-6.34,-6.05), (-3.8,-3.9), (4.53, -0.98), (12.13, 4.3)}
A. D= {-8.91, -6.05, -0.98, 4.3}; R = {-15.02, -6.34, -3.8, 4.53} B. D = {-15.02, -6.34, 4.53, 12.13}; R= {-8.91, -6.05, -3.9, -0.98} C. D = {-15.02, -6.34, -3.8, 4.53, 12.13}; R = {-8.91, -6.05, -3.9, -0.98, 4.3} D. D = {-8.91, -6.05, -3.9, -0.98, 4.3}; R = {-15.02, -6.34, -3.8, 4.53, 12.13}
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) = -x2(x - 1)(x + 3)
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