Solve the problem.The length of the ellipse  x = a cos t, y = b sin t, 0 ? t ? 2? is Length = 4awhere e is the ellipse's eccentricity.Use Simpson's Rule with n = 6 to estimate the length of the ellipse when a = 2 and e = .

A. 11.8956
B. 12.1751
C. 11.2546
D. 12.2097


Answer: D

Mathematics

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Find the exact value of the sum.sin 105° + sin 15°

A.
B.
C. - 
D.

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Solve the problem.Suppose a cost-benefit model is given by  where y is the cost in thousands of dollars for removing x percent of a given pollutant. Find the cost of removing 45% to the nearest dollar.

A. $3465 B. $818 C. $7700 D. $6300

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Provide an appropriate response.Prove that the function f is not one-to-one.f(x) = x2 + 2

What will be an ideal response?

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Use the point-slope form to write an equation of the line passing through the given point and having the given slope. Write your final answer in slope-intercept form. If the slope is undefined, state the equation in the form (-5, -8); m = 2

A. y = 2x + 2 B. y = 2x - 2 C. x = 2y - 2 D. x = 2y + 2

Mathematics