Differentiate y = Varcsin А. 2V1-x2Varcsinx V1-x²Varcsinx C. 2V1+x²Varcsin x ,2. 1. 2v1-x2varesin 2x B. D.

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Fühd dy ldy bY Imelicít differeveti ration. 3

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Q: Define the term standard linear approximation?

A: we have to define the term standard linear approximation.

Q: equilibrium

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Q: fino plYZ11?

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Q: The integrating factor of the LDE y' = x - 2ycotx is

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Q: find the orthogonal trajectories of the family of curves x2+y2=a2

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Q: (b) Find orthogonal trajectory of x2 - y = K. (Orthogonal trajectories]

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Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: Differentiate ysin(1/y)=1-xy

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Q: Integrate: dp 16 + p?

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Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: It is thought that basketball teams that make too many fouls in a game tend to lose the game even if…

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Q: Stsinat dt

A: Given that:∫t.sin2t.dt

Q: 4) Find the orthogonal trajectories of the family of curves

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Q: Find the general solution. Orthogonal Trajectories

A: To Find :  General solution of Orthogonal trajectory of following

Q: Find the orthogonal trajectories for the family of curves (enter your solution as an equation)…

A: Nothing

Q: An economist wants to quantify the offect of olectricity prices on the real economy. By using…

A: Here, since the electricity price jump 27% above their previous peak value and stay at this new…

Q: Differentiate. h(θ)  = etan 2θ

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Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

Q: Find for following 1.y = (x + v3x)S

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

Q: Find the integrating factor of y'+ 3(x^2)y = 4(x^2)(y^2)

A: Divide the equation with y^2.

Q: Find the root of the equation fx=In(x)-5+x in the interval [3.0, 4.0] using Regula Falsi method. Use…

A: Consider the given information.

Q: Integrate completely

A: Solution-

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: y' = y– y³e=2x у — узе-2х

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Q: Use the method of variation of parameters to find a particular solution of the DE…

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Q: Y2-1 dy

A: Follow the procedure given below.

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

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Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

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Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: Integrate: dz V2x + 3

A: We have to find

Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: For the points given (1, 5), (2, 7), (3, 6), (4, 10) use partial derivatives to obtain the formula…

A: Given set of data is         1, 5, 2, 7, 3, 6, 4, 10 Use least-square fit              y=ax+b Where…

Q: what are the independent and dependent variables of this problem? is the DE separable?

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Q: Find both first partial derivatives. z = 14y²Vx az ax az ду eBook

A: We have to find

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

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Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

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Q: What does it mean to eliminate the parameter? What useful information can be obtained by doing this?

A: Query- What does it mean to eliminate the parameter? What useful information can be obtained by…

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

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Q: Use the method of variation of parameters to produce a general solution of the inhomogenous equation…

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Q: Integrate by parts S xsin2xdx.

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Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k.

Q: J7 -dz 21-8

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Q: x2 - y2 + 2Cx = 0

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Q: برهن على صحة التكاملات التالية : fx²J, (x) dx = x²3, (X) + x1(x)-[Jux) dx J, [x*J₁ (x) dx = x* J,…

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Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

Q: 8. Find the orthogonal trajectories of y cx

A: