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題組內容

7.

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

其他申論題

(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.

(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) 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.

(b) Assume that on another curve , f obtains local naximumn at (Jc0,yo) which is near . Use linear epproimation to estimate

1. Find an equation of the tangent to the curve y3 = xy + x + 1 at the point (0, 1).

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