2. -6a – 4(a - 3) = -6a + 15 %3D

Q: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

A:

Q: y2-16y +28=

A: Topic:- algebra

Q: 2. (D2 - 5D + 6)y = 2 e*. 3. (D2 - 4D + 4)y = e*. |

A:

Q: -4 -2 -D2 A 2x + 6y = -8 B. -2x + 6y = -8 C. 3x + 4y = -12 D. 4x +3y = -24

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Q: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: 6e12z? + (1– 5)z -1+] (z- 12(z+ 1) dz,

A: The region is defined as a circle C, z=2 This circle has, Center=0,0Radius=2 units The plot for the…

Q: b. S 2*³-4x²-x-3 dx х2-2х-3

A: First we divide the polynomial  using long division

Q: d. ' = [ * -2 e. X' = .ジ [4 -3 え

A: This is a question of Differential Equation.

Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

A:

Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

A:

Q: (c) 2x? -7x+3 = 0 (Home work) (d) 3x? - 5x+2= 0 (H.W) amplot

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Q: Find the market equilibrium point for these e y = 48 – 3x? a) y = x? +4x+16

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Q: 4. S 2z3 e1-² dz

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Q: S₁ y² – 3ydy 11

A:

Q: 2 d2 ; C:Z10)=3e ;osOs下

A: we will evaluate this integral by using parameterization since we have given a function in z and…

Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

A:

Q: -x + 2y 3 %3D 4 II

A: Given the equations x'=dxdt=-52x+2y                         (1)y'=dydt=32x-2y…

Q: 2. d-4 d+9 2d a²+3d-28

A:

Q: а. 1 b. 5 с. -1 d. 2 2. S(x) = 3x² %3D а. 3 b. 2 с. 6 d. 12

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: 4. (D² + 4D + 4)y = 0 5. (D³ – 4D² + 7D)y = 0 |

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Q: 19.(D³ + 36D)²y = 0 %3D

A:

Q: y" – 3y + 2y = e5a

A:

Q: None

A:

Q: 4. | (4f (x) – 3g (x)) dæ J2

A: Consider the following integrals: ∫04fxdx=5∫02fxdx=-3∫04gxdx=-1∫02gxdx=2

Q: 3) S dz z3-z2-6z

A: In the question it is asked to calculate the integral of the following function given:

Q: 4 e) y = (2x + 5)

A:

Q: y = -2 + 3cos (x- 4)

A: We have to graph the given function y=-2+3cos(x-4).

Q: y = sec- (4a + 5)

A: on differentiation we get the

Q: y² + 5 dy y²(y² + 25)

A:

Q: y" + 6y 2+e 1x 二

A:

Q: 1 Ha² – D² - 2D+3 dr² - 3)e"} D² – 2D+3

A:

Q: 2 p4 p2 0 -1 (8x-2y+z)dxdydz

A:

Q: YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

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Q: 4y2 У(у + 2)(у — 3) "У 7у — 12 dy '2

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Q: 6. (D² + 1)y =- 1 %3D 3

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Q: 3 (b) (c) 5²8y0. 3x-2y-2=0 2-y-60

A: Given three homogenous linear equation. We have to compute the vector subspace of the solutions of…

Q: (D² + 6D + 7)(D3 – 5D² + 6D)y = %3D

A:

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: (b) 3r+1 = 52

A: Q (b) asked and answered.

Q: 2- 5s b) F(s)= (s – 6)(s² +11)

A:

Q: (4) y" – 3y +2y = 1+e² %3D

A:

Q: Q2 Ci+x)y =ソ-1 Y(0)=0 →yー1-e

A: To solve the given equation.

Q: (9y)° D92° E (5x - 7) 36°

A:

Q: © (DS+ 3D4+3D³+D²)y=0

A:

Q: a) Yt+1 = 2yt - 10 b) Yt+1 = Yt c) ye = 0.5yt-1+1 %3D

A: This is the problem of recurrence relation.

Q: z²√(-z² + 1)5 dz

A: