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f5-10 - Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximative rectangle
\f5-10 - Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximative rectangle and label its height and width. Then find the area of the region. 5. y = ex, y = x2 - 1, x=-1, x=1 6. y = sin x, y = x, x = 1/ 2, X = 1 7. y = ( x - 2)', y =x 8. y = sin x, y = 2x/ 7, x > 0 9. x =1 -y, x=y2 - 1 10. 4x + y2 = 12, x = y11-20 - Sketch the region enclosed by the given curves and find its area. 11. y = 12 - x2, y = x2 - 6 12. y = x, y = 4x - x2 13. y = et, y= xet, x=0 14. y = cos x, y = 2 - cos x, 0 - x - 2TT 15. x = 2y2, x= 4+y2 16. x = y4, y = \\2 - x, y=0 17. y = COS TIX, y = 4x2 - 1 18. y = |x, y = x2 - 2 19. y = 1/ x, y = x, y = 4x, x>0U @22. Graph the curves y = x2 x and y = x3 4x2 + 3x on a common screen and observe that the region between them consists of two parts. Find the area of this region.
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