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Q: Зх +8 (y-3x) dydx y + 5x —1 ) — 5х (y – 3x)"

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Q: 5) (x- 4)² + y² = 9 Center Radius

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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: 40 = 7=- y 21 b) %3D %3D

A: We have to find x and y

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

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

Q: dz 6. [0]. z-a

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

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Q: 3 1) y=--x-1 2 A) B) C) D)

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Q: 9- (-2 J3 + ja) * Rec tangular Form

A: Any complex number, z can be written in its rectangular form as z=x+jy  . This complex number can be…

Q: Solve the system of linear equations.

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Q: 4-a2 8-a2-y2 (2² + y²) dzdydx 2

A: Given ∫-22∫04-x2∫x2+y28-x2-y2(x2+y2)dzdydx Change the integral into cylindrical coordinates

Q: 7. x+y (2r +2y-x)' at (0, %) -4 at (-3y3. 1) 8.

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

Q: 7. (D² - 2D + 2)y = 0 8. (D² + 9)y = 5e* - 162x 9. (D² + 9)y = 5e% - 162x?

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Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

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Q: d Differentiate (-16x-1 +4x + 2) when x dx

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Q: Ex. Evaluate the JJex*+2xy+y*) dydx when s tep (x²+2xy+y=) dydx when step Size of X = 0-2 and step…

A: Given: fx,y=x2+2xy+y2 Given step size of (say hx) x=0.5 and(say hy) y=0.5 we need to Evaluate…

Q: 2) y' – (cotx)y = -(2cosx)y2 %3D

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

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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: (2-x²) y" + 2xy' - 2y = 0 olution to

A: Given differential equation is 2−x2y''+2xy'−2y=0.....1. a We have to verify that y=x is a solution…

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: 3メ+2y-Z=1 メ-ツ+らる-2 2X +y =3

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Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

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Q: у" + Зу" + Зуy' + у %3D 30 е -х

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Q: 1) y' = 2 at

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Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

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Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload…

A: topic - derivative of a function

Q: 4. y = 5 tan 3r 2-

A: y=5tan3x

Q: 2x-y-32=26 3X+ t6zこ4 X +2y+92=-16

A: Solution :- We found  one independent variable in the given system of equations  The whole procedure…

Q: y = 2z3 [tan(3z+1)] a + xy – y5 = 8x? y = (x + 3)² (x² – 2)

A: You didn't mention what should I do with the given equations and this problem is posted as calculus.…

Q: Solve the system of linear equations.

A: Solve as matrix equation AX=b

Q: 1. y 2x + 4x at point (-2,0)

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Q: DY =-3(2) +8 ay=-463) +28

A: 1) given   Y = -3(2) + 8 here by using BODMAS rule we can can solve the equation B => Brackets -…

Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: dz 1 dz 222 – 5z + 2

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Q: vz 3y 8-x2-y? 1. dzdxdy 0 0 x2+3y2

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

Q: er of y+ 3

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Q: y X

A: The points are obtained in the attachment.

Q: e2z dz 1.9리=4z(z2-1)

A: from Cauchy residue theorem we can solve this question

Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: /| +* dA; Ris y² + 2² < 2.

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Q: 10) Find / 2(3z* + 1)° dz

A: I am going to evaluate the given integral first by expanding the given function and then integrate…

Q: 91 182x-x2 9V x²+y² dydx %3D

A: Here we solve double integration problem.

Q: 3-3X 3-3X-y dz

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: yA x= y² - 4y (-3, 3)- x = 2y – y² |

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Q: (D' +5D +3D-9)y = 0; when x = 0, y =-1, when x = 1, y = 0 and also as x→ 0, y = 0

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

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