所屬科目：研究所、轉學考(插大)-微積分
1. Given functions f(x) = log2(x2) and g(x) =. Find f'(2) and.g'(2)
2. Evaluate the limit.
3. Let function g(x) be the inverse of f(x) =. Find g'(6).
4. Evaluate the limit.
5. Evaluate the definite integral. (3 + tan θ sec θ)2 dθ
6. Given function f(x) = . Find the higher derivative.
7. Given polar curve r =. Find the slope of tangent line of curve at Also find the arc length of curve for 0 ≤θ≤
8. Let C be the curve of intersection of surfaces xy + yz +zx = -14 and x2+y2+z2=29.The tangent line of curve C at point (2,3, -4) is given by= z + 4. Findthe values of a, b.
9. Use the method of Lagrange multiplier to find the shortest and longest distance from the origin to curve 9x2 + 16xy +21y2 = 125.
10. Let D be the region in zy-plane bounded by x2 = y, x2 = 3y, y2=x,y2=3x . Use the transformation to evaluate the double integral.
阿摩線上測驗
登入
阿摩線上測驗
登入
. Find f'(2) and.g'(2)
. Find g'(6).
(3 + tan θ sec θ)2 dθ
. Find the higher derivative
.
. Find the slope of tangent line of curve at 
Also find the arc length of curve for 0 ≤θ≤
= z + 4. Findthe values of a, b.
to evaluate the double integral.