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9. Evaluate dxdy reversing the order of integration. (Hint: Draw the integration area first.) (10%)

其他申論題

(b)cos(2x) sin(4x +π/4)dx (5%)

6. Evaluatedt. (10%)

7. Evaluateydx, where x = 2t − 1 and y = t2 + 2. (10%)

8. Evaluate dA over the region ?? in the first quadrant bounded by the graphs of y = x2, x = 0, y = 4 (see Fig.1). (10%)

10. is the position vector of a moving particle. Find the speed at the time, . (10%)

(1). A contnuous function f (x) is differentiable

(2). If a function is differentiable at a point, then it is continuous at that point.

(3). Let f (x) be a differentiable function. Then f '(x) must be continuous.

(4). The absolute function f(x)=|x| is continuous at x=0.

(5). The absolute function f(x)=|x| is differentiable at x=0.

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