( -2x + 7y -6 -4x + 14y -12 Select the correct answer below: ㅇ (1, 즉 -흑) ㅇ (4, 끌 + 3) ㅇ (x, 꼭 -6) ㅇ (, 끝 -6) X, + ㅇ (1, 꼭 -윽) | I|||

Q: x + 2y - 7z = 2x + y + 3x + 9y - -9 z = 36z = -69 24 %3!

A: In this question, we solve the system of equations by writing in matrix form.

Q: Find the total areas of the shaded regions

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Q: 4xy² +4x?y? - 5xy? = -9xy² + 4x?y? %3D True O False

A: In order to check the given statement check whether the LHS and RHS are equal or not.

Q: 1-r-y C * (r* + y° +:')}dzdydx 14

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Q: - y" – 2y" + y' = 2 – 24e* + 40e, y'(0) = }, y"(0) = - y(0) = ;, 9. 2

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Q: А) у'- 2у -Зу30, y(0) = 1, У (0) %3D7.

A: We’ll answer the first three subparts of the question since the exact one wasn’t specified. Please…

Q: 5-y" 2y + 4y= 0; y(0) = 2, y(0) = 0

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Q: -5r2 -2r3 +4r5 -2r6 %3D -#4 +5xs +5xg = -522 -8rs +4r6 = 22 +s +t tu 240

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Q: y"" - 4y" + 5y' - 2y = 7t-5, y(0) = 0, y'(0) = 0, y'(0) = -2

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Q: YA x = y² – 4y (-3, 3)* x = 2y – y?

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Q: х — у + 2z — 2х + у — 2z - 2w 3 —2 w = -1 - - | -x + 2y – 4z + w = 1 3x 3w = -3

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Q: y"" + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0, y" (0) = -3

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Q: y = -x - 5x + 6 and y = (x + 1)2 - 2 |

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Q: = 2√/16 - x² - y2, then the domain of D = {(x, y) x² + y² ≤ 16}. 2

A: We have to choose the correct option from the given options according to the given information

Q: y"-3y-2y=0; x = 0, y = 0, y =9, y'=0

A: Solution of given question is written in below steps.

Q: 2x + y- 2z= -7 + 5z = 10 X- 2y- z= - 11 (-5,5,6, - 3) (1,-5,-7,-2) (5 - 54 - 2)

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Q: -2y: 3.

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Q: -Zくtく-! -1< く ぐく2 3). fa) = 24

A:

Q: V16-x² B Evaluate S. Sezy2) (x²+y²) /16 –r²drdzde -

A: Given integral is, I=∫04∫016-x2∫x2+y24416-r2drdzdθ Now, integrating the given integral,…

Q: (r2+2rt-4t2)dr-(r2-8rt-4t2)dt=0

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Q: Evaluate the expressions for when x=-1, y=3, z=-2 z²+(x²)-y and x²(y²)(z²)

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Q: 4. -8z -y+3: =1 4r + 4y +== 41 6r + 4y + 7: = 114 5. 3r + 7y - 2: = 37 6r + 7y + 10: = 46 -v+ 2: =-4

A: 4) Given:

Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1

Q: X-U(-1,1), then Y=3X-1 #1 ~ ES5+8= $24

A: Solution- Given that X~U(-1 , 1) Then Y=3X-1~ ?

Q: - -x, x-2 4) h(x) = y 16 2

A: We will draw the graph of given function by taking arbitrary values of x , and then We get output…

Q: y""-4y" +5y'-2y = 7t-5, y(0) = 0, y'(0) = 0, y"(0) = -2

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Q: y""' + 2y" - 11y' - 12y = 11t - 9,y(0) = 0, y' (0) = 0, y"(0) = -3

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Q: x + y - 4z = 8 3z = 0 7. z = 3 3 х - у 2 x, y, 2) =

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Q: y> r – 1 y -2x 1 O A. y 4 +++X 4 -4 -2 2- -4 y O B. 4- +++X 4 -4 -2

A: We will solve the problem

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: -x - y = -13 -x + 3y = 19

A: Here is given two linear equations;   -x - y = -13 -x + 3y = 19    To solve it; Put    -x=y-13…

Q: y" + 4y' + 5y = 35e-4x, y(0) = -2, y'(0) = 1

A: We are given the initial value program in which we have second order nonhomogeneous linear…

Q: 4-y^2/y^2-4y-12  x   y^2 +8y+15/ y^2 + y -6

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

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Q: -V4-x² c3-x²-y² xdzdydx, -5+x2+y2

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Q: -a b C Evaluate-2a +4x 2b-4y 2c +42 x -Y 2

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Q: 3x – y + z = -1, -x+ 3y – z = 7, I – y + 3z = -7.

A: Given: 3x-y+z=-1-x+3y-z=7x-y+3z=-7

Q: x²-5y²-3x-y +22=0 (y-2)(x-y-2) = 0

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Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0

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Q: z= 4-x2-y² y 2 -1sysl

A: Solve by triple integration.

Q: I. Perform the indicated operatic Z₁ =3e7 a) Z₁Z₂

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

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Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

A: For the given system of equations The value of x,y,z are  x=3 y=2 z=3

Q: 3. (4, 6) and (0, -2) Y2 m X,- X,

A: we have to find m

Q: 2x + 5y = -4 -2x + 3y = 20 what is x and y?

A: Given equation are By adding the two equations, we get

Q: 12y (2x +3)° (3x-7) 4(2y + 7) y%3D Page I54 to search

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Q: -12r-10s-2t=-25 -3r+5s +2t = 10 -6r + 8s +6t = 21 %3D

A: Concept- By using addition and subtraction with equations

Q: -4 -2 ora y 8 6 4 2 -2 f(x) = |x| 2 4

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Q: iv) If y=ax' -6x² +bx=4 has a point of inflection at (2, -2), what is the value of a+b?

A: