Find əzləx of z = tan-1(x²y) + tan¬1(xy2). v² dz dx 1+x*y?° 1+x*y* ху 4,2 2,,4 dz 2ху 2y? Əx " 1+x*y² * 1+x*yA əx 4,2 2,4 y? 2,4 1+x*y²°1+x?y* dz о дг 2y o əz 2ху 1+ x*y?°1+x?y* 4,2 2,4

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A: These questions are about ordinary differential equation.

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Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

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A: given ∇f(1,0)=2i+j we have to find the direction in which the directional derivative has some value.

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A: Differentiation of the function helps to find the derivative of the function. Simplification of the…

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A: Some results are required to understand the differentiation in the given problem.

Q: -1 du 4) [cot-u] %3D 1+u2 dx dx d 5) 1 du [sec-1 u] %3D dx u vu2-1 dx -1 du 6) [csc-1 u] dx u vu2-1…

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Q: d du 1) (sin-1u] dx %3D 1-u2 dx -1 du 리는 [cos-1 ul = dx V1-u2 dx d 1 du 3) = [tan-1 u] dx %3D 1+u2…

A: I have solved first three part for other repost question

Q: Solve J²u = Ət² u (0, t) = u (x, 0) = J²u 4- 2 მ2 u (π, t) = 0 sin (2x), 0 0 (x, 0) = 0 Ju Ət

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: y= (12,4 + x)* + (1+)(Va² +x- c )cos²(4x), c)cos²(Ax), 3)4( 3 y = (12,4 +x)* + (1+x' Зx +x — с y = ?

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Q: ignments: Find a solution for the following equations in two different ways: analytically and…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 2-g(%,y)%3D플-플 * at (VT ,1)

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