[微積] 一些題目

[twpunkboy (小柯害我成邊緣人)]

1. Express the equation by stretching y=1+(1/x^2) horizontally by factor of 3


2. For f(x) = A sin(2π/B(X-C))+D,identify A,B,C,and D for the sine fuctions in y = (1/2)sin(πx-π)+(1/2) and sketch its graph


3. Find lim tanθ/(θ^2)cot3θ
       θ->0

4. Explain why the equation cosx = x has at least one solution


5. Find the astmprotes for y = (x^2)-1 / 2x+4


這些題目想問一下板上的高手

小弟這邊只有答案沒有詳解>.<

剛學微積分不久所以程度不是很好

希望高手能稍微指點一下小弟

謝謝^.^

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◆ From: 140.118.41.57
※ 編輯: twpunkboy       來自: 140.118.41.57        (10/27 19:20)
推 pentiumevo  :4. let g(x)=x-cosx,then use 1st deriv. and  IVT
→ pentiumevo  :sorry,不用這麼麻煩
→ pentiumevo  :看不懂第3題,可否寫清楚些?
θ趨近於零 對 tanθ/(θ^2)cot3θ 這個式子取極限
※ 編輯: twpunkboy       來自: 114.44.3.9           (10/27 21:17)