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題組內容

2. f(z, s) is a differentiable function. On the curve , f obtains local macimumn at.

(e) Find.

其他申論題

(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.

(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).

3. A function f is defined by Find the maximum value of f.

4. Find the solution of the differential equation that satisfes the initial condition y (1) = 0.

5. If f is concave upward on [a,b], show that

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