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Solve these problems: 13-18 Sketch the region enclosed by the given curves and find its area. 13. v = 12 2 6f23. Sketch the region

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Solve these problems:

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13-18 Sketch the region enclosed by the given curves and find its area. 13. v = 12 2 6\f23. Sketch the region that lies between the curves 3.! = cos x and y = sin 2x and between it = 0 and x = 473/2. Notice that the region consists of two separate parts. Find the area of this region. 28. A cross-section of an airplane wing is shown. Measurements of the thickness of the wing, in centimeters, at 20-centimeter intervals are 5.8, 20.3, 26.7, 29.0, 27.6, 27.3, 23.8, 20.5, 15.1, 8.7, and 2.8. Use Simpson's Rule to estimate the area of the wing's cross-section. 200 cm29. If the birth rate of a population is b() = 2200e 0.024r people per year and the death rate is d(t) = 1460e 0.018 people per year, find the area between these curves for 0 E t = 10. What does this area represent?34. Find the area enclosed by the curve x = t- - 2t, y = Vi and the y-axis.38. Estimate the area of the region enclosed by the loop of the curve x = /' - 12t, y = 3/2 + 2 + 5.ID. Find the area of the region bounded by the parabola y = x2. the tangent line to this parabola at (1, 1), and the xaxis

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