所屬科目:研究所、轉學考(插大)-微積分
1.A sector with central angle θ is cut from a circle of radius 2 meters, and the edge of the sector are brought together to form a cone, find the magnitude of θ such that the volume of the cone is a maximum.
3.Let L be any tangent line to the curve (in the first quadrant) Show that the sum of the x- and y- intercepts of L is c.
(a)
(b)
5.Draw the curve of parametric equations x=t2 +1, y=4t3+3 on the interval 0 ≤ t ≤ 2 and find the arc length.
7.Let and f(x,y,z)=,find and)
8.Evalate the double integral dy dx by converting to polar coordinates.