[公告] 貴美習題 (6-1~6-5)

[naruto1031 (毛毛)]

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~~~

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◆ From: 219.71.198.162
推 petroheat:毛毛~貴美6-5題作業是(7) (12) 24 唷~
推 Ketr:6-5 應該是 (7) (12) 24 才對~我抄的是這樣ㄟ
※ 編輯: naruto1031      來自: 219.71.198.162       (11/22 22:30)
※ 編輯: naruto1031      來自: 219.71.198.162       (11/22 23:52)
※ 編輯: naruto1031      來自: 219.71.195.78        (12/06 00:32)