1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0

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A: We can find the rate of change of base wrt time as below

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A: Here we have to find the arc length of the given curves.

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A: topic - derivatives

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A: According to integration by parts:

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Q: -25 Evaluate the integral: dax x²Vx2 +25

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A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: find lim 8-10%2

A: Simple limit 

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A: Given:       

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Q: Express the function below in rectangular form, (-1+i)-1+i

A: The magnitude of -1+i is = r=-12+12=1+1=2. Angle is = θ=tan-1yx=tan-11-1=tan-1-1=3π4. So we can writ...

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A: Using method of exact differential equation.

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Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

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