Page 293 - Calculus Demystified
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                                  8.    (a)  We know that                Solutions to Exercises
                                                                            1     1
                                                               [f  −1           = .
                                                                   ] (1) =
                                                                          f (0)   3

                                        (b)  We know that
                                                                            1     1
                                                               [f  −1           = .
                                                                   ] (1) =
                                                                          f (3)   8

                                        (c)  We know that
                                                                           1      1
                                                              [f  −1           =    .
                                                                  ] (1) =
                                                                         f (2)    π 2

                                        (d)  We know that
                                                                           1      1
                                                              [f  −1           =    .
                                                                  ] (1) =

                                                                          f (1)   40
                               Chapter 3
                                  1.






















                                                              Fig. S3.1

                                  2. Figure S3.2 shows a schematic of the imbedded cylinder. We see that the
                                      volume of the imbedded cylinder, as a function of height h,is
                                                                                2
                                                          V (h) = π · h · (3 − h/2) .
                                      Then we solve

                                                                                 2

                                                      0 = V (h) = π · 9 − 6h + 3h /4 .
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