y = logt, x = t -4 %3D

Q: ye(2y*) dy

A: Given the integral I=∫ye2y2dy     ....(1)

Q: find dy/dx in terms of x and y if arctane(x^3 y)=xy^3

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Q: find dy / dx by implicit differentiation.

A: In implicit differentiation, on differentiating y, we use dy/dx.

Q: y'sin = y cos a is solvable by?

A: given equation y' sinπx = y cosπx is solvable by separation of variables

Q: Use Fubini's Theorem to evaluate .2 -dx dy. I + xy

A: Given :            ∫02∫01 x1+xy dxdy By Fubini's theorem, the above integral can be rewritten as ∫01…

Q: Find the curve y(x) that minimizes the I Cy) = S. cos x)+ ]2 Cunc tonal %3D

A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

Q: dy Use implicit differentiation to find dx eXy = 2y

A: We need to find dydx for exy=2y  using implicit differentiation. We should know the following…

Q: Find dy/dx for x*+siny = x'y

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Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

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Q: et secydx + sinydy = 0

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Q: On the ellipse x2+ 9y2 = 9, find d2y / dx2 using implicit differentiation. Final answer may involve…

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Q: Differentiate: y = /16 – z² – 4 arccos() e+4 y' = Oy= Oy- %3D

A: Given that : y = √(16 - x2) - 4arccos(x/4). We find derivative of this function (y).       Here i…

Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

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Q: EXERCISE 1 dy -dx = 0

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Q: Use implicit differentiation to find dx xy = 8y %3D dy II

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Q: Integrate: | cos" z dx

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Q: Let y = (In x) tan 2. Find dy using the method of logarithmic dx %3D differentiation. Express your…

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Q: dy Use implicit differentiation to find dx 1. ycosx+xsin y+10 = 0

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Q: Use implicit differentiation to find dz/dx and dz/dy. yz = 2 In(x + z) az dx az ду

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Q: dy Use implicit differentiation to find dx 8xy+y 9x+y %3D dy dx %3D

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Q: Find dy/dx in terms of x and y if arcsin(x'y) = xy". dy dx Submit

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Q: arcsin 4y dy 1 – 16y2

A: Given: ∫arcsin4y1-16y2dy

Q: 2. Use implicit differentiation to find dy/dx: e"y+ In(arcsin 2y) = 3ª ln y + 5.

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Q: Solve (1+siny)dylx=[(2ycosy-(secy+tany)]dy.

A: This question is taken from a differential equation in which we have to solve the equation and take…

Q: Find dy/dx in terms of a and y if arctan(x'y) = ry. dy %3D dx

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Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: Integrate: ∫ 3cos(2πx) dx

A: The given integral is ∫ 3cos2πxdx.

Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: Find the integrating factor of dy/dx+2y tanx=sinx

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Q: Find if y%3D cos (2x)+ 2еж: dx dy

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Q: cos(2y - x) = 3ysin x

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Q: Given that xyt – 6 = 0, find dy by implicit differentiation. - %3D dx? dy dx?

A: A detailed solution is given below

Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: Differentiate parametrically to find x=3t², y=6t dy dx in terms of t:

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Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: dy Use implicit differentiation to find dx 8xy + y = 5x + y dy %3D dx

A: We will solve the problem

Q: dy Find by implicit differentiation when dr? æ cos(y) = -4y dy dx? ||

A: Given the equation      xcosy=−4y        ........(1)

Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: 2dy -2y 2. zt at

A: Solved below

Q: dy Find by implicit differentiation da 3 + 4x sin(ry°) %3D dy %3D dr

A: Solution is given below:

Q: dy 40. dx = VT/2 2ху 3D 1, у(0) 3D

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Q: Find the geneul suluticn dy t. + 2y= 2X 2. dx

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Q: Differentiate y=arccos(e^(3x)) dy/dx=____________

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x3/2 from (0, 0) to (4, 8)

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Q: dy Use implicit differentiation to find dx ycosx+xsin y+10 = 0 %3D

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

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

Q: Find dy/dx by implicit differentiation. cot(y) = 5x – 3y - 5 dy/dx -COS

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Q: Find the moment of inertia of the solid formec y2 = 2x and th

A: Introduction: If a solid is formed by revolving an area about the y-axis, then the moment of inertia…

Q: dy ) Use implicit differentiation to find · dx' у2 — уе* — х Iп у%3D12

A: Implicit Differentiation: