所屬科目:研究所、轉學考(插大)-微積分
1. (10分) If y =, find the value of as x = 0.
2. (10分) If z = f(x - 2y), find the value of .
3. (10分) If x = rcosθ and y = rsinθ, find the expression of .
4. (10分) If y = sin(2x), find the value of .
5. (10分) Find the value ofdx.
7. (10分) Find the value of.
8. (10分) Find the value of lim.
9. (10分) Find the arc length of the curvewith x ∈ [0, 9].
10. (10分) Find the area of the region bounded by with 0 ≤ θ ≤ 2π.