Find 2dx x² + 8x + 17 Find dx xV5x2 – 3

Q: Integrate (2sinx+3cosx)2

A: Integrate (2sinx+3cosx)2

Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: S 1 xvx²-2x dx = √x²-2x X +C

A: To prove that ∫1xx2-2xdx=x2-2xx+C

Q: у" — 8y' + 1бу %3D 24» -x +

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Q: 3y = -x+6 %3D 2x + 4y = 12

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Q: 4x – y – z = 4 - 2х + бу +2%3D7 - 1х + у +72 %3 3

A: Given: 4x-y-z=4-2x+6y+z=7-x+y+7z=3

Q: Solve for x and y: 5x - 2y = 1 and x + y = 10 %3D

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Q: 2x +4y-2= X -y +2 =-6 3x +2y-Z= 5

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Q: xVx – 1 at x=2.

A: Given y=xx-1at x=2

Q: y = arctan 2x -16x 16x (1+ 4x2)2 (1+ 4x)2

A: We are asked to find the second derivatives of the function.

Q: S (3׆12x - 15) (3 2dx 2dx 4) X(3(Inx)*+121nx-15)2

A: We have to find the given integral

Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: 2x Ax) = %3D 2 - 1

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Q: 4x — у %3D 11 and 2x + 2y = 18

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Q: d. [(2x +1) (5a - 4)) dx 10x - 3 O 20x - 4 O 10x - 4 20x-3-

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Q: . 2 28x -15x dx 4x + 7. +C %3D

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Q: هدى الدالة 2x - = y هو. %3D

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Q: 1. y= -x²+4 @(0,4). fly) - 3v26x-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Solve the system

A: Given equation of system are: 3x+y=6......(1)6x+2y=12......(2)

Q: 8x – 5y = 21 -x+ y= 0

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Q: -4x + 9у 3D 9 X - 3y = -6

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Q: Find the linearization of y = 3xe²x-10 at x = 5. %3D

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Q: x² = 2y + 10 %3D 3x – y = 9

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Q: x - y+ 2z = 5 2x – 2y + 4z = 10 %3D 3x – 3y + 6z = 15

A: Explanation of the solution is given below...

Q: Solve. 10x - 5y = 10 %3D X+y = 16

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Q: 5. y-5y+6y = coshx %3D

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Q: 3 2dx 2dx (3x+12x -15) (4) X(3(Inx)*+12lnx-15)i

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Q: 1 y = (7x)3 y' = %3D

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Q: Find dy. y= (4x*+3)/2

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Q: (x³-4x+1)vx++5x+5 find y' 4x2+5x

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Q: 4x+ 10y = -30) 2x - 9y = 27 %3D

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

Q: 5. x + y 10x + 8y + 16 = 0 %3D -

A: Consider the following equation of curve:…

Q: (24+2x-x2)1/2dx

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Q: 4x + 11y =-3 EQ.1 -6x = 18y – 6 EQ.2

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Q: 1. x2 - 8x + 16 = 1 %3D

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Q: x² + ax − 2bx - 2ab-x³-2ax² - 2bx² dx x² + ax³ - 2bx³ - 2abx²

A: The given integral is  ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx To evaluate the integral.

Q: 2(5x-3)+2x=D2 (x+4)

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Q: 2dx V1-x²

A: Explanation and solutions is given below....

Q: Find y' if y = 2vx (3x - 2) at x = 4. %3D

A: We need to find y' at x=4

Q: J -dp- 2x² +3x + 1

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: find x: sec² 2x = 4

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Q: Vx – 8 = xy + 2

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Q: 5. x2 – xyz = 56; P(-4 %3D 2.

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Q: Solve the system

A: x-2y+3z=4.......(1)2x+y-4z=3.......(2)-3x+4y-z=-2.......(3)

Q: - eliminU1 stem of equato y=2t 「し 3x-) 3D3 X+ 2y =3

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Q: Find y'. y = 9x – In(2x) y' = %3D

A: This question is related to differentiation, we will solve it using given information.

Q: 2dx 3 X - - 2 X

A: The given integral is ∫2 dxx-x23. We have to evaluate the given integral.

Q: x - 4y -23 %3D 4x +32

A: The system of equations is given by x-4y = -23                                  .........1 y = 4x+32…

Q: Differentiate : a. y= (2Inx^2) b. y= In (xInx)

A: