Y; = bo + b,X1 + b2X2+ E¡ This is an example of a:

Q: Evaluate p(x² + y²)5/2 dA, where D = {(x, y) E R² | 0 < y < 1, - V1- y² < a < 0}.

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Q: y(x) = C1x"+ C2xP, evaluate a + B2). x²y" – 19xy' + 84y = 0, x > 0. -

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Q: Find the antiderivtive: (2x³ – 2x² + 10 - + C

A: Topic = Integration

Q: y 2. JJp x5+1 dA, D = {(x,y)|0 < x < 1,0 < y<x²}

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Q: Given y =x2 -1, find A y. A 2r Ax+ Ax2 Ax2 C 2x Ax+ Ax²– 2 212+ 2x Ax+ Ax2-2

A: We will solve the problem

Q: If m/Q=10+2x and mZR=3x-15, %3D 3. what is mZQPW? MZQPW

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Q: Find the dual of the following LPP. max 3r1 + 2x2 – *3 s.t. I - #3 > 4 201 – a2 + 3r3 = 5 3r, 0

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Q: The notation zyAx is equivalent to А. В. êrêy² 2 С. .2 D.

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Q: In the given question , find d2 y /dx2implicitly in terms of x and y :- x2 y - 4x = 5

A: Given that, x2y-4x=5

Q: Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

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Q: Convert the equation (x² + y²)³ = 4x²y² to polár form. " %3D

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Q: .... 1 If x+iy sprove (x2 + y²) * (a² + b²) = 1 !! a+ib

A: To solve the following problem, we use the standered result of complex no. 1.  i2  = -1  2.  (a+b)…

Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: f(x, y) = 4x2 C.

A: we have to find the total differential for the given function. f(x,y)=4x2-6y2 here we have to find…

Q: in general form x² – 2x – 6y – 5 = 0? 5 A B y- -

A: The given equation of the parabola is: x2-2x-6y-5=0⇒6y=x2-2x-5⇒6y=(x2-2x+1)-6⇒6y=(x+1)2-6…

Q: Given that 6x + 2y = 0 and x² + y2 = 2(32 + xy) Calculate the value of x and y.

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Q: The solution of the PDE uxy = 6x² + y is %3D

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Q: a²u b. əx² = 0 + at2

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: if f(x,y) = √x² + y + 4, then find a a21 and ах ду х

A: If fx, y=x2+y+4, then to find ∂2f∂x2 and ∂2f∂y∂x.

Q: y=(b+x?)' +(1+x')*( V3x² .2 +x -с) сos'(4х) у'— ?

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Q: If r(x) -6x3 – 6x2 + 2, determine r(v²). Do not include "r(v-) =" in your answer. %3D %3D Provide…

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Q: OA. y-1=-2(x- 3) B. y-1=-2(x+ 3) C. y+1=-2(x-3) OD. y+1=-2(x+3) Revie

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Q: {e, 9) € R² : 52. {(x,y) € R² : (y-x)(y+x) = 0} (y-x²)(y+x²) = 0}

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Q: x²y+ 2xy = x + y ise y =?

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Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: e y = ax + bx + 12x - 7, what

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Q: Find x and y in terms of a and b. ax  +  by  =  0 a2x  +  b2y  =  1     (a ≠ 0, b ≠ 0, a ≠ b)

A: Given system ax + by = 0   —(1)                          a2x + b2y = 1  — (2) We solve the system

Q: Show-= x2 y2 = 1 is r² = b2 a2 b2 1-е2 сos2 0

A: To show  x2a2−y2b2=1 is r2=−b21−e2cos2θ

Q: So (e2t + e-t)²dt

A: We have to solve

Q: Find x and y. C 2у — 4 - В 4x D 木 A

A: Given figure is parallelogram.

Q: if (y+ 4)² = x + 2, then + 2, then dy

A:

Q: Solve for x and y:                                     ax + by = a – b and bx – ay = a + b

A: given:

Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: If y* = e* , then y equals (A y3 - 2y (B - 2x y3 D (E) none of the given choices

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Q: 2. x21 y 6 y2x-2 Ax, y) = x– y

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Q: (2) [D² - (a + b)D + ab]y = 0. = 0, a and b being real and unequal

A: Given data:- D2-(a+b)D+ab)y=0 a and b are real and unequal

Q: y = x2 + Ce2* + Cze3* y = C,e* + C2xe*

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Q: 3y 4y + 8 37. y²-y-6 9y2

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Q: Find the general Solution of the diff. equ- x*y" +zxy-2y=D0 ?

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Q: 1 (a) y = xvx² -2 (b) y = (c) y=, (x-1)? 2/x

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Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: If x > 0, which of the following is equivalent to V5? Ix2 + x!/2 II. (a!/2)3 III. „³q-1/2

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Q: What is the value of x2 + 2y ÷ 2w +

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Q: EXAMPLE: FIND a2z a?z a2z AND дx2 дудх 7. z = 3x²y3 – 4x*y?

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Q: (r² + y² )²dydx • Evaluate:

A: Given: ∫03∫09-x2x2+y252dydx

Q: P(x, y) = 68+8x-3y; subject to: x20 3x+2y < 44 x<3y y22

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Q: dy , Suppose z and y are variables that satisfy the equation r² – y³ = 12. What is dr

A: