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題組內容

6.

(a) dA = (15) , where D is the region in the first quedrant that lies betwoen the circles x² + y² = 4and (x-1)²+y²=1.

其他申論題

4. A vertical fence 2 m high is located 1 m away from a wall. The length of the shortest ladder that can extend from the wall over the fence to a poiut on the ground is __(11)__.

(a)=____ (12)____.

(b) The volume of the solid R lying below the plane z= 3 -2y and above the paraboloid z = x2 + y2 is __(16)__.

(a) C is a smooth curve in the upper half plane going from (1,1) to . =__(17)__.

(b) S is the part of the spherex2 + y2 + z2 = 9 that lies above the cone z = with upward orientation. F = __(18)__.

(b) The Maclaurin series (the 'Taylor series at a = 0) for x is__(20)__.

1. Find the equation of the curve on thexy-plane that passes through (3,1) such that for any point P on the curve, the midpoint of the tangent line at P that lies in the first quadrant is P itself.

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