推 yhhsu:大大感謝 11/09 23:48
推 sina111175:終於找到跟我依樣還在為徐老師奮鬥的同學了 11/10 01:02
推 yvette1025:我是去年修的 考題不是他上課勾過的習題 11/10 01:11
→ yvette1025:因為上課勾的他都會講解呀~~~ 11/10 01:12
1. Evaluate the limit , if it exist.
(1) lim 1－√1－x*2 / x
x→0
(2) lim x*3 / tan*3 2x
x→0
2. Draw the graph of f(x)= 4－│x－2│
(1) Is f continuous at x=2 ? (Explain it by definition)
(2) Is f differentiable at x=2 ? (Explain it by definition)
3. Find y' , if y = sin ( tan √ sinx )
4. Show that x*101 + x*51 + x － 2 ＝ 0 has exactly one real
root .
出處4-1 NO.69
5. Show that the curves 2x*2 + y*2 = 3 and x = y*2 are
orthogonal.
出處3-7 NO.41
6. Let g(x) = f(x*2) , where f is twice differentiable for all x ,
f'(x) > 0 for all x ≠ 0 , and f is concave downward on
(－∞ , 0 ) and concave upward on ( 0 , ∞ ) .
(1) At what numbers does g have an extreme value ?
(2) Discuss the concavity of g .
出處4-REVIEW NO.37
7. State the Mean Value Theorem and use it to prove that
√1 + x < 1 + 1/2 x if x > 0 .
出處4-2 NO.27
8. Sketch the graph of y = x / x*2 － 9
出處4-5 NO.12
因為跟徐老的國文奮鬥的有點久 所以就無聊來看看微積分
前面三題我懶得找了很簡單後面五題都是從後面習題出來的
我有找到出處
至於是不是老師勾的 我就不知道了我又沒去上過幾次課....
幾乎都是第4章的要臨時抱佛腳的快把第四章看一下吧~
祝大家應考順利阿 有看有保佑阿
我要繼續跟徐老師奮鬥了 希望早上七點前寫的完....
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