Calculate the arc length of the indicated portion of the curve r(t).r(t) = (9t sin t + 9 cos t)i  + (9 t cos t - 9 sin t)j ; -2 ? t ? 5

A. 189
B. 130.5
C. 261
D. 94.5


Answer: D

Mathematics

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Establish the identity.sin(4x) = (4 sin x cos x)(2 cos2 x - 1)

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Find the sum.

A.
B.
C. 1
D.
E.

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Eight milligrams of a dye are injected into a vein leading the an individual’s heart. The concentration of dye in the aorta (in milligrams per liter) measured at 2-sec intervals is shown in the accompanying table. Use Simpson’s Rule with n=12 and the formula to estimate the person’s cardiac output, where D is the quantity of dye injected in milligrams, C(t) is the concentration of the dye in the aorta, and R is measured in liters per minute. Round to one decimal place.

Mathematics