5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and x²+z²=4. Sketch the graph.

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A: Please refer to the image below

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A: Using Matrix operation

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A: This questions uses ILATE  rule

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A: Given

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A: The objective is to evaluate the limit.

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A: Given: I=∫xsinxdx   We know the basic integration formula. ∫sinxdx=-cosx+C∫cosxdx=sinx+C

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A: To find the unit tangentvector Tt at the point with the given value of the parameter t.rt=4t i+3t2…

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A: In these question , we can sketch the given function . Note : As per our Guidelines , we can solve…

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A: x-2y+5=02y=x+5y=x+52The equations are: y=x+52y=e2x

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A: Given problem:-

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Q: Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

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