Solve the problem. Give the answer to the nearest thousandth if necessary.A long-distance runner runs 2 miles south and then 10 miles east. How far is the runner from the starting point? 
East --10 mi-->
A. 12 mi
B. 10.198 mi
C. 11.198 mi
D. 4.899 mi
Answer: B
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Identify a technique of integration for evaluating the integral. If necessary, explain how to first simplify the integrand before applying the suggested technique of integration. You do not need to evaluate the integral.
A. Integrate by parts with u = 1-cot x, dv = csc2x dx B. Integrate by parts with u = csc2x, dv = (1 - cot x) dx C. Substitute, letting u = 1-cot x D. Substitute, letting u = csc2x
Solve the problem.The height of a vase is 5 inches. The table shows the circumference of the vase (in inches) at half-inch intervals starting from the top down. Estimate the volume of the vase by using the Trapezoidal rule with n = 10. Round your answer to the nearest thousandth. [Hint: you will first need to find the areas of the cross-sections that correspond to the given circumferences.] Circumferences 
A. 61.856 in.3 B. 101.552 in.3 C. 105.479 in.3 D. 62.876 in.3
Solve the system. x - y + 3z = -23x + z = -2 x + 3y + z = -14
A. (-2, 0, -4) B. (0, -4, -2) C. (-4, 0, -2) D. (-2, -4, 0)
Provide an appropriate response.Points represent:
A. an additional cost of financing B. monthly payments C. 2 percent of the amount borrowed D. a 3 percent up front payment