3.Find [, (3x² + y)dydx -2

Q: 1. If y = 3x + 2x3 - 3x + 2 find Set A. d'y/dx?

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Q: -3dy 6. zy2+14y+70

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Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: and the net is decribed by the equation y = V1 – x2 – z2, y 2 0,

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Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: ху xy' – y = xkyn

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Q: 2 Consider the hypocycloid with equation y 3 +x3 =73 2 2

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Q: 1-x² 2. , S. et²+y? dydx = (е-1) 4

A: We have to show that:  ∫01∫01-x2 ex2+y2 dy dx=π4(e-1)

Q: Sketch the graph of the cylinder x (y – 2)² in R³. %3D

A: Solution:   First of all x-y projection of this 3d graph is

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

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Q: state where in the ty-plane the hypotheses of Theorem are satisfied 7. y′=(t2+y2)3/2

A: Given y'=t2+y232

Q: A surface in R³ is defined by the equation 4z = x² + 4y“.

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Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: Evaluate..(x+.2.y.)dA..„.where.D.is.theregron. sunded. by.the.paradoolas.yz2x.and.y..l+x. 2 2

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Q: د؟ لر ول 3 y3 Xe dydx

A: We have to integrate the function fx, y=x3ey3 within the given limits of integration but the…

Q: 2,t-3P dt, then %3D 12

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Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: ral soluion of qineral xy" + 2y'=6x Find the

A: We will first reduce the order of given differential equation

Q: If y = (x + 1)(2x – Vx), then y' will be,

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Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: x, prove that y¨= 2(y² +1)(3y² +1).

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Q: x2 + 4y? – xy + 6x – 5y + 1. -

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Q: *宗+> B. If z = show that x 3z %3D x+y

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Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: Evaluate [ T 1-x² x² + y² dydx.

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Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: y'=xsin^2y

A: Given                y,=xsin2(y) we will solve this differential equation very easily by…

Q: x, y) Edy is

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Q: Find The Pollowrng in tograls:- Excersises 4 ( 2x + 6y x*) dy de (2 (ay + 29) dë dy + +) dy da x+4

A: As per our Guidelines we can solve maximum 3 question as per request , otherwise we solve one…

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: d²y 4y 3e2x. %3D dx2 3.

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Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

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Q: If y x 2+2 and u 2x-1, then the dyldu is

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Q: Q1: - find dylax for y = 5cscx³

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Q: dy 3y y torh(x) + 2

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Q: In x y of y = 3

A: Find your answer below

Q: in R°sketch the graph of the cylinder x = (y – 2)?

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Q: 2x y'' – 3y' – 10y = 7e y(0) = 1, y'(0) = - 17 - %3D %3D

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Q: *-y dydx 2x

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: Evaluate the following integrals

A: The given integrals are,

Q: Q1: - find dylar for y = 5cscx3

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

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Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: d'y dx2 (3y -1) 24y If y' -y = 2x prove that

A: Solution: The objective is to find the double derivative of the given function

Q: Show that Y, CX) = x is one of this functio %3D Solutions: x*y" + 2 xy' - 2 = 0

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