貴美習題又來啦~~~ 有( )是要交的 **是指舊版沒有的 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 下面是第五版沒有的 6-1 第15題 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題 Evaluate the integral and interpret it as the area of a region. Sketch the region. π ─ 2 ∫ │sinx-cos2x│ dx 0 第55題 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題 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題 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題 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題 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題 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題 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題 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 ? 有錯的要跟我說一聲喔~~~ 祝大家寫習題順利~~~ -- -- 夢是什麼 是現實的延續 現實是什麼 是夢的終結 --

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