[情報] 朱樺老師微積分課的作業

[kindamark (Kindamark)]

相信系上有許多同學都還沒拿到書

我跟室友借到了書

題目如下

1.5

EX.14
  Starting with the graph of y = e^x, find the equation of the
  graph that results from
  (a) reflecting about the line y = 4
  (b) reflecting about the line x = 2

EX.16
  Find the domain of each function
                                           ＿＿＿
  (a) g(t) = sin(e^(-t))      (b) g(t) = √1-2^t






1.6

EX.26
  Find a formula for the inverse of the function

            e^x
26. y = ——————
         1 + 2(e^x)



EX.54
  Find (a) the domain of f and (b) f^(-1) and its domain

54. f(x) = ln(2 + ln x)



EX.72
  (a) Graph the function f(x) = sin[sin^(-1)x] and explain the
      appearance of the graph.

  (b) Graph the function g(x) = sin^(-1)(sin x). How do you
      explain the appearance of this graph?





Chap 1. Problem Plus

EX.7
  Draw the graph of the equation x + |x| = y + |y|.

EX.12                                        ＿＿＿＿
  (a) Show that the function f(x) = ln(x + √x^2 + 1  ) is an odd function
  (b) Find the inverse function of f.



(我不是強者，所以請不要問我解答Orz)


--
 作者  jack0602 (Jack)                                       看板  SENIORHIGH 
 標題  [問題] 比較想唸資工  但是家人親戚一直說服我唸電機                      
 時間  Sun Jul 25 15:37:35 2010                                               
→ LUB7l:電機(硬體)，資工(軟體)。唸什麼都好，不要不硬不軟
→ ejnfu:什麼東西是不硬不軟阿
推 woieyufan:微軟就不硬不軟阿
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.242.48
※ 編輯: kindamark       來自: 140.112.242.48       (09/17 17:47)
推 s864372002:推簽名檔，那段被我貼在個板過XDD。
推 a13032002:這位同學辛苦了！
→ kindamark:謝謝 終於有人推了(T^T)
推 warchero:原來是英文的喔= = 那我要好好研究了
※ 編輯: kindamark       來自: 140.112.242.48       (09/19 17:49)
推 eric556640:3Q~~~好希望有強者公布解答~~