5. Evaluate the integral fffn 7 dzdydr, where R is the region enclosed by ² + y? 2 = Zz²+y² .

Q: ex: Evaluate SS (&++y²)dV over the first octont region boundeol by the cylinders x*ty=/ and xay=4…

A: Convert coordinate system into cylinder coordinate system. Sketch region D and find range of…

Q: 1. Graph a) lim f(x) = I >0 b) lim f(x) = I >1 d) lim f(x) = I 3+ e) lim f(x) = - I >3

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Q: Find the double integral ſf e-(x²+x²) dA if R is the region in the first quadrant enclosed by the…

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Q: Find the area +6 C1 R -6 +6 C2: 4x2 + y² = 16 -6 using green's theorem.

A: We are given the above region of which we need to find the area and as per the instruction, we need…

Q: Evaluate ſſ(x² + y²)dA, where R is the region bounded by y = x² and y=2x R

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Q: 22 Evaluate f, e-(x²+y?) dx dy, where R is the region x? + y? < a?.

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Q: Exer.) Express and evaluate the integral (x+y) dv E as an iterated integral for the given solid…

A: Given:

Q: Evaluate ]] 6z°dxdydz , where V – is the region below 4x+ y+2z=10 in the | V first octont

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Q: Evaluate the integral |1 dA by making an appropriate change of variables where D is the rectangular…

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Q: 29. a) Evaluate (x²y + xy²) dA, where D is the region bounded by y = 2x² and y = 1 + x². b) Evaluate…

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