Evaluate the integral.
A. csch2 2x + C
B. 2 ln + C
C. ln + C
D. ln
+ C
Answer: D
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Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. x5 - 27x3 + 50x = 0
A. 0, touches the x-axis and turns around;
5, crosses the x-axis;
-5, crosses the x-axis;, crosses the x-axis;
-, crosses the x-axis
B. 0, touches the x-axis and turns around;
25, touches the x-axis and turns around;
2, touches the x-axis and turns around
C. 0, crosses the x-axis;
5, crosses the x-axis;
-5, crosses the x-axis;, crosses the x-axis;
-, crosses the x-axis
D. 0, crosses the x-axis;
25, touches the x-axis and turns around;
2, touches the x-axis and turns around
Use a truth table to determine whether the two statements are equivalent.q ? p and ~q ? p
A. Yes B. No
Find the sum or difference. Write the answer in lowest terms. -
A. 3
B.
C.
D.
Use the two-stage method to solve.Find x1 ? 0 and x2 ? 0 such that 3x1 + 3x2 ? 60 2x1 + 5x2 ? 120and z = 5x1 + 4x2 is maximized.
A. x1 = 60, x2 = 0, z = 300 B. x1 = 40, x2 = 8, z = 232 C. x1 = 30, x2 = 20, z = 230 D. x1 = 0, x2 = 24, z = 96