Find if y = (x* + 8)(x – 3) %3D dx

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

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Q: Find 2 dr if y=1-t² and x= 4+² dx

A: 1.       dy/dt = d/dt [ 1- t²]   = -2t        2.      dx/dt  = d/dt [ 4t²]     = 8t   So now…

Q: -3 S x(3x – 1)® dx

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Q: Calculate d2y dx2. y = e−(x − 3) − x

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Q: iate ſ In(x + v1 +x²)dx

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Q: dy 4x + x dx у+4 ||

A: Given that  dy/dx =(4x^2+x)/(y+4)

Q: 12. S dx 2x3 x++1

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Q: Find dy dx 2 for x²exy = 5 WA/

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Q: 3x aluate: S dx X+10x+30

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Q: Calculate  d2y dx2 y =  −  5 x2  d2y dx2 =

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Q: Find for y = dx dx X [11tªdt. 0

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Q: S(8x3 + x-3)dx

A: Solve by integration

Q: 2 S(4x3 + )dx x+1

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Q: Show complete solution

A: To evaluate the given integrals.

Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: 4. S dx 9-x x2-1 dx 5.

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Q: (3) S x²Vx + 1 dx

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Q: x2+3 is dx (x3+9x+7)3

A: We have to find the antiderivative of given function.  The solution is following

Q: dx V2x-x2 /2х-х2

A: Evaluate ∫42x-x2 dx

Q: Find d^2y / dx^2 when y = 8+x / 4-x

A: Simply take two times derivative of the given equation using the derivative of the form  u/v

Q: 2 S (a+ dx x - х — а

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: 1. Sx³dx dx 2. S

A: In integration we basically have definite and indefinite integrals . In definite integral we have…

Q: -1 | In(-x)dx -7

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Q: Find dy/dx when a) y = -3/x8

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Q: 14) S(3x + 2)v5 – x dx

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Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: dy/dx if y=3x3/2

A: consider y=3x32differentiate w.r.t.x,ddx(y)=ddx3x32           =3 ddxx32            =3×32x12…

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: (#9) S x2 dx V16-x²

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Q: D. L (x3-4x) dx + (-x + 4x) dx

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

Q: Find d/dx {6[(x^2 − 3x)^2]}.

A: Given:

Q: 4 dx is equal to: xv16 - x2

A: we have to find the following integral

Q: Find the antiderivative dx/(x2+4)3

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Q: b. Find S 5x*(x5 – 1)dx using a suitable substitution.

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Q: ,5. For y = 3x° - 9x° + 2x, find dx %3D dx 5

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Q: 7In(x) dx

A: Asymptote is a line such that the distance between the curve and the line approaches to zero as one…

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: Find S x-2 dx Vx+3

A: Integration is the process of finding the anti-derivative function of the given function. A…

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: Evaluate ſ _dx V16-x 4-x

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Q: Integrate X dx 1+x2

A: To evaluate the below integral. ∫x51+x12dx

Q: Integrate X dx 1+ x²

A: Given, I=∫x51+x12dxOrI=∫x51+x62dx

Q: L,x – x*) dx = ²

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Q: Find (x + 2)e3* dx

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: Differentiate. y= In |3x-5x dy xp

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