اجب عن السؤال - ODE dy _ (x² + y²) dx x2 Y + x²y = c x² + y²x = c 3 x2 +y?x = c 3.

Q: -4 Chapter 13 / Partial Derivatives f(x, y) = x2 + 2ry- 4x; P(1, 2), Q(1.01, 2.04)

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A: To find  The partial derivatives.

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A: We have to prove

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A: We will solve the following partial derivative.

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A: Given,   from limit we can say this follow x2+y2+z2=1 put this value in integral…

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A: Last option is correct.

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A: I take strip parallel to y axis in the region of integration

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A: We are given the following boundary value problem. k∂2u∂x2=∂u∂t,        0&lt;x&lt;1, t&gt;0u0,t=0,…

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A: Use integration rules

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: Here the given function is f(x, y, z)=x5yz2+5yz. We have to find the first partial derivatives fx(x,…