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. 105.479 in.3
B. 101.552 in.3
C. 62.876 in.3
D. 61.856 in.3
Answer: D
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Assuming that the equations define x and y implicitly as differentiable functions 
find the slope of the curve 
at the given value of t.2x - t2 - t = 0, 2ty + 2t2 = 2, t = 1
A. - 3
B. 3
C. - 2
D. - 
One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.tan x = 
,
x in 
A. sin x = 
, cos x = 
B. sin x = - 
, cos x = - 
C. sin x = 
, cos x = 
D. sin x = - 
, cos x = - 
A jewelry store buys pairs of earrings for $189 each and marks them up $6. What is the retail price of a pair of earrings?$__________
Fill in the blank(s) with the appropriate word(s).
Without solving, determine the character of the solutions of the equation in the complex number system.x2 + 3x + 2 = 0
A. a repeated real solution B. two unequal real solutions C. two complex solutions that are conjugates of each other