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題組內容

1.

(b) Determine if the improper integral converges or diverges?(5分)

其他申論題

2. Find the points on the graph of z = 3x2 - 4y2 at which the vector n=(3, 2,2) is normal to the tangent plane. Answer :____________

3. What is the value of the double integral dxdy? Answer :__________

4.What is the largest value that the directional derivative of f(x,y, z) = xyz can have at the point (1,1,1)? Answer :___________

(a) Determine if the series converges or diverges? (5分)

2. Find the maximum area of a rectangle inscribed in the ellipse =1.(10分)

(a) (5 points) Find f' (x)

(b) (5 points) Find extreme values of f (x)

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