If y' 6x - 3 and y(2) 6 4, then y 3x2- 3x 3x2-3x-2 3x2-3x2 6x2-3x2

Q: 6yz+7zx-xy 17xyz ... (1) 2yz-zx+xy-3xyz ...(2) 3yz +2zx+4xy-19xyz (3)

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Q: 2x +y - z = 6 x- 2y + z = -3 3x + 2y – 2z = 12

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Q: {3x+y=-3 2x+3y=5 (X,y) =

A: Given: 3x+y=-32x+3y=5 To Find: The value of x,y.

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: 5x+y35x+y3 for x=4x=4 and y=1y=1

A: Consider the given expression (P) and substitute the values of x and y.Substitute 4 for x and 1 for…

Q: x+y+z- 2t = -4 x– 2y + 3z + 4t = 10 2x + 3y – z + 2t = 9 4x – y + 2z – t = -7

A: Here x+y+z-2t=-4x-2y+3z+4t=102x+3y-z+2t=94x-y+2z-t=-7Now converting given equations into matrix…

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: x - 4y – z = 11 3. 2x – 5y + 2z = 39 -3x + 2y + z = 1

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Q: Solve for y zu 1. In y = 4x - 2x +3 %3D

A: Here, lny=4x2-2x+3

Q: 13. y = A²x' - 3Bx %3D (x) ans : y' = 34A²X² - 3B %3D (x)

A: Given: Y(x)= A2x3-3Bx Differentiate y(x) with respect to x

Q: 2x + y-z 9 15. -x+6y+2z =-17 %3D 5x +7y+z = 4

A: soln:-consider,the system of equationAx=b, where A is invertible.Then, x=A-1bhere,…

Q: 3x – 3y+ 4z = 6 4х - 5у+2z%3D10 x- 2y +3z = 4 =D4

A: Given the system of equation is  The matrix of form of system is

Q: Solve the system of linear equations.

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Q: 1. x + 2y + 2z = 2 3x - 2y - z = 5 2x - 5y + 3z = -4 x + 4y + 6z = 0

A: Given system of equations, x+2y+2z=23x-2y-z=52x-5y+3z=-4x+4y+6z=0 To find: Solve the system of…

Q: 3X - Y + 2Z = 7 2X +Y – Z = 1 ЗX + 3X + 2Y – 3Z = 1

A: Given: 3x-y+2z=7, 2x+y-z=1, 3x+2y-3z=1 Using the Cramer's rule, solution of system of linear…

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

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Q: If y = (x+1)(2x- V3). then y' will be A. (x+1)(2- V)+(2x-; 2Vx B. (x+1) + (2x - vV)(2- V) (*+ 1)(2-)…

A: (uv)' = uv' + vu'

Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: -3z = 1 2x+ 2y+ z = 22 3x + y-2z 20

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Q: x – 5y = -4x - 2y %3D II at x -3.

A: Simplification of the equation helps to find the required function value. Substitution of the point…

Q: on of y" – 2y' + 2y =

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Q: 7. -x-y-3z = -9 z = -3x- 1 %3D x = 5y- z+ 23

A: given is x - y - 3z = -9 z = -3x-1 x = 5y -z + 23 -x-y-3z = -9 ------(1) 3x + z= - 1 --------(2) x -…

Q: 9) If y = 3x +x² - 5 and z = x2 - 12, find 2(y +z).

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Q: 4-y² 2-y SŠ *-* zdxdzdy

A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: Solve the system of linear equations.

A: The system of linear equations are: 2x+y=3z=9......(1) -x+0y-7z=10......(2) 3x+2y-z=4......(3)

Q: x-7y+4z 14.7 %3D -x-0.9y-4z = 19.5 x+2y+5z 11.5

A: The given equation x-7y+4z=14.7 -x-0.9y-4z=19.5 x+2y+5z=11.5 Write the above equation in matrix form…

Q: 3. x + y = 20 y = 5x + 2 6. 4x - y 5 y =- %3D 4x + 1 %D 9. 5x---16 4y %3D 12. 10x 2y 9.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2) Find of y = क सम्माय 2) r*+1)(2x+3)

A: Simplify the given expression and take log on both sides.…

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

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

Q: 7x y 3z = 8 %3D 4y + z = 5 3x 2y 5z = 5 + + +

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Q: 4x-y +z = 12 X+4y- 2z = -1 x- 2y + 4z = 5

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Q: X 3Y + Z = 33 -X+4y - 22 = -47 2X-y+ 2z = 26

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Q: س: جد قيمة المتغيرات X ,Y ,Z من المعادلات الانية التالية بطريقة المحد دات)طريقة كرمر( . 2x + 4y + 3z…

A: To find the solution to the given system 2x+4y+3z=4 x-2y-2z=0 -3x+3y+2z=-7

Q: 2) 2x – 3 y=-1 y= x - 1 2メ 2x-3/-3 4) –3x – 3 y = 3 y =-5x - 17

A: In this question , we can solve the given system by substitution . Substitute the value of 'y' into…

Q: Solve the system of linear equations.

A: Solve as matrix equation AX=b

Q: Find y': ○ 4kx (2kx + 1)7 ○ 4k (2kx + 1)7 ○ 8k(kx² + 1)7 ○ 8kx(kx² + 1)7 y = 1/(kx² + 1)8 ; k…

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Q: 32. In y = 2y² - x; (2, 1)

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Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

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

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

Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

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Q: Eliminate the arbitrary constants in y = ex + c1e2x + c2e-3x

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Q: y =-x2 +5 8. x² + 5 Oy = 8 Oy = x² - 5 8. Oy = x² - 5 8.

A: Given query is to find the equation of the parabola.

Q: y''- 2y"=cosh(2x).

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Q: First order linear of 2x3y'=y(y2+3x2)

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Q: X-z=3 2y - 2z=2 2x +z=3 2x - 3y+ 4z = -19 6x +4y -2z = 8 X+ 5y +4z = 23

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Q: [3x-Y3D2 6x +2y =16

A: 3x-y=26x+2y=16

Q: What is y' if xy^3 + yx^3 = x - 3y?

A: Consider  xy3+yx3=x−3y