dy Find at (x, y) = (3, 4) and z? = a²+y² if d = x² + y? if 1 аnd 2 6. dt

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: dy Q3) Find dx for 3(x? + y?) ² = 100xy

A: Here, the derivative dydx is obtained by implicit differentiation. Thus to find the derivative first…

Q: (ve" + 2u) du + e"dv=0|

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Q: 2 Suppose that A = 3xyz²7 + 2xy³j - x²yzk and p = 3x² - yz. Find, at the point (1,-1, 1), 2.1 Vo,…

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Q: dx 1) S- x(Vx+Vx?)

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Q: + 5)3; 3. dy

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Q: dx dy V3x + 4y' Evaluate

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: d'y 2y If x + y = xy, show that dx2

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Q: dy Suppose that 2r² – xy + y² = 1. Find dr

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Q: 3. Given 5y +4x² = 4x-y, find: dy dx a. b. d²y dx²

A: Derivative

Q: 2. (3x +y)dx – (x+3y)dy = 0 2. y = 2 when x = 4

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Q: dy Find for 3(x2 + y²) ² = 100xy dx

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Q: f(x.y) = 7x?y",camate and af and ,campute

A: Given fx,y=7x2y4we have to find ∂f∂x =?    and   ∂f∂y=?

Q: Q1/ If z = f(x, y) and z* - y? = 6x²y°z7 Find: and dz

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Q: 5. (D²+4)y=4 cot 2x

A: We use variation of parameters method to solve the given differential equation.

Q: dy 1. Á + 6A

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Q: If y = t“, then dy 4t³. dt

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Q: Find aff dy dx² for f(x, y) = exy

A: I have done solution in detail....step by step....go through the solution

Q: dx tan x -1 '+ 4dx de x- Vx

A: Taking #5 and #6 As per authoring guidelines, if the question number is not specified, the first…

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Can you subtract v2(d2y/dv2) to v2(dy/dx)2 ?

A: The given terms are v2d2ydv2 and v2dydx2.

Q: Find fxxx for f(x, y) = Sin() at (π, π)

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Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

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Q: Find dy -, if dx dy dx y = u U³ || - u and u = 4x² + 1.

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Q: dy Differentiate implicitly to find 6 5 3) x y+9x = 6y +4 dy

A: A detailed solution is given below

Q: y = elx²+2x+3)2 y = ise dy =? dx

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Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

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Q: dy + y = e*. dx

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Q: (xy ☺ Ty 5. Tyy Ty x 7) Tz ® Tzz 6. TzX

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Q: d’Y Find x = t + t Y = t? + 3 2) dX?

A: Here I am attaching image so that you understand each and every step.

Q: | x² J1(2x) dx , (use subsitution)

A: Bessel function in terms of series is Jn(x)=∑k=0∞ (-1)kk! γ(n+k+1) x2n+2k. We will prove the…

Q: dx xy dy x² + y² Ans. y² = 2x²ln (

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Q: 2. +x +1 d

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Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6