9-x2 18-22-y2 (x2 + y² + z²) dz dy da? 3 0. x²+y2

Q: -16 1Δίνεται η συνάρτηση f)- 2x+8x i) Ποιο είναι το πεδίο ορισμού της f i) Να απλοποιήσετε τον τύπο…

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Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

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Q: +2メ+2 2=f(x.y)-4xy 3. +2メ+2y2= T %3=

A: Derivative: - The function's derivative is the equation we discovered. The derivative is defined as…

Q: X+24-3そる:0 2X- 4-z- I〇 3x+Zy+Z+ 5=0

A: Solution:-

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: The figure shows the graph of two perpendicular lines. Which of the following pairs of equations…

A: The general equation of line is y=mx+b where m is the slope & b is the slope intercept. Now,…

Q: Choose the formula for finding the slope m of a nonverticalline that contains the two distinct…

A: Given two distinct points.

Q: 2) x + xy+y -7= 0, (1,2) Ans. -4/5

A: We have, X^2 + xy + y^2 - 7 = 0 Differentiate with respect to x, we get 2x + [ x • dy/dx + y • dx/dx…

Q: 3 1-x²-y² e-3(x²+y²+z²)² dz dydx 1-х2 a) Evaluate e-3(x²+y²+z?)² dz dydx

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Q: 28. x + 2xy – y +x = 2 (a) At (-2, 0). (b) At (1, 2). y (1, 2) (-2,0) 2 -2 2.

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Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: 3) ryy'-r. +1 = ry +y +r+1. Ans.: y +1 x(Ce-1).

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Q: (1-x)y"-xy'+y=0  y(0)=-2 , y'(0)=6

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Q: 3. y' = 5y + e-2*y-2 y(0) = 2 У (0) - 4. хуу' + 4x2 + у? 3D 0 о у(2) 3 —7

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Q: 4. y = vx +2 %3D x,for - 2 < x< 2 2, for x22 (x-1,for x< -2 5. y=

A: To sketch the graph of the given function and determine the domain and range.

Q: 2. T1: R2 - R2, T1(x, y) = (x – 2y, 5x + 2y) T2: R2 - R2, T2(x, y) = (0, x)

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Q: 5) /x + y + y² + x² = 18, y'at (0,4 )

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Q: Graph the functions

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

Q: 19. x' = -2y, y' = 2x; x(0) = 1, y(0) = 0 %3D

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Q: 3. 2. Z dydxdz 2=0 X=Z

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Q: (10 – 6y + e-3=) dæ -3.z 2dy = 0 -

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: |(1 + x)5 |(x + 2)10' If y5 = and (x = 1, y = 2) y will be equal to?

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: (x + 2) y' = xy + 23-3x-6, when x 0, y 1 O y = 2-e O y = 3- 2e* O y = 1+2e* O y = 3+ 2e * %3D

A: Solution of differential equations

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law:…

Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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Q: _(2²² + y² + z²)³/²dzdydx 1-z²-yª

A: Given ∫-11∫01-x2∫1-x2-y20(x2+y2+z2)32dzdydx Given instruction: To solve this integral convert…

Q: xp? +(y-1-x)p-x(y-1)=0. [Ans. (2y -x +c) (xy – x+c)=0]

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

Q: 1. 2xy2 + 4 = 2(3 – x²y)y' y(-1) = 8 dr p2 r(1) = 2 de II 2.

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Q: 17. y" + 4y' + 3y = e³t-3u₁ (t); y(0) = 0, y'(0) = 0

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Q: 3. 5x + 5y = 15 2r - 2y = 10 Y-exie X-8xis 3. 2. -2 -4 -5

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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: (1 + x)5 (x + 2)10’ If y5 : and (x = 1, y = 2) %| y will be equal to?

A: Given that :-      y5=1+x5x+210⇒y5=1+x5x+21012by taking logarithm both…

Q: 12. y = 4e" + e²"; y" – 3y/ + 2y = 0, y(0) = 4, y/(0) = 6 %3D %3D

A: Given y''-3y'+2y=0, y0=4, y'0=6

Q: 2. x'y-x'y 12 at (-1,2)

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Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T

A: Given data:   a) The given function is: y=ln(x2+4)(2x+5).   The expression for derivative of the…

Q: 2X + y - x - 2y + 2z = -11 3x - y + z = (x, y, z) =

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Q: 27. y 2r(x + 2)² 29. y = x(r - 5)² 31. y = 4x(x + 5)* n= 27r - 2 26. y = x(x - 1)* 28. y = 3x'(x +…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 1. V2 3y 8-x2-y2 رار 0 0 x2+3y2 dzdxdy

A: We have to evaluate the integral.     According to our guidelines we can solve only one question so…

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

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Q: 2х-1 (h) у %3 x²+1 7x2 -7х (i) у %3 y = In x

A: follow next step

Q: (D² – 4)y = 2 – 8x; when x = 0, y = 0, y' = 5. %3D ANS. y = e2x – e-2* + 2x – }.

A: We have to find solution of given differential equation.

Q: 1-x2 1-x2-y2 dxdydz Evaluate * V1-x²-y²-z²

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