贵美习题又来啦~~~ 有( )是要交的 **是指旧版没有的 6-1 第六版 13 (15) (23) 31 (40) (47) 49 55 第五版 13 (**) (21) ** (38) (43) 45 ** 6-2 第六版 3 10 13 15 31 35 50 55 (57) (63) (66) (70) 第五版 3 10 ** 15 31 35 48 53 (55) (61) (64) (68) 6-3 第六版 (1) 6 (13) 14 (17) 20 25 31 (39) (42) 45 46 第五版 (1) * (**) 14 (**) 20 25 31 (39) (**) 45 46 6-4 第六版 4 9 11 (17) (19) 21 27 第五版 4 * ** (17) (19) 21 27 6-5 第六版 (7) (12) 24 第五版 (7) (12) 24 下面是第五版没有的 6-1 第15题 Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.Draw a typical approximating rectangle and label its geight and width. Then find the area of the region. π π y = (secx)^2, y = 8cosx, - ─ <= x <= ─ 3 3 第31题 Evaluate the integral and interpret it as the area of a region. Sketch the region. π ─ 2 ∫ │sinx-cos2x│ dx 0 第55题 Sketch the region bounded by the given curves and find the area of the region. π π y = tanx, y = 2sinx , - ─ <= x <= ─ 3 3 6-2 第13题 Find the volume of the soild obtained by rotating the region bounded by the given cruves about the specified line. Sketch the region, the soild, and a typical disk or washer. y = 1 + secx, y = 3, about y = 1 6-3 第6题 Use the method of cylindrical shells to find the volume generted by rotating the region bounded vy the given curves about the y-axis. Sketch the region and a typical shell. y = x^2-6x+10 第13题 Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cruves about the x-axis. Sketch the region and a typical shell. x = 1 + (y-2)^2, x = 2 第17题 Use the method of cylindrical shells to find the volume generted by rotating the region bounded vy the given curves about the specified axis. Sketch the region and a typical shell. y = 4x-x^2, y = 3, about x = 1 第42题 the region bounded by the given cruves is rotated about the specified axis. Find the volume of the resulting soild by any method. x = (y-3)^2, x = 4, about y = 1 6-4 第9题 Suppose that 2 J of the work is needed to stretch a spring from its natural length of 30 cm to a length of 42 cm. (a) How mach work is needed to stretch it from 35 cm to 40 cm ? (b) How far beyond its natural length will a force of 30 N keep the spring stretched ? 第11题 A spring has natural length 20 cm. Compare the work W1, done in stretching the spring from 20 cm to 30 cm with the work W2 done in stretching the spring from 30 cm to 40 cm. How are W2 and W1 related ? 有错的要跟我说一声喔~~~ 祝大家写习题顺利~~~ -- -- 梦是什麽 是现实的延续 现实是什麽 是梦的终结 --

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