y= C1e + C2e-3z +2x O y' +y-6y+14z - 6=0 O y +y-6y+ 12z-2 0 O y +y-6y + 16z-4 0 O y' +y -6y+ 10z - 8 = 0

Q: 4x + 3 x+2 4x - 5 x-4 12 x² - 2x - 8

A:

Q: x2 + 5 xp 3- x2 + x + 3 X1

A:

Q: b15-スx2+ x 4x t.

A:

Q: x² + y2 +30x10y +249 = 0 O(x+15)² + (y-5)² = 49 O(x+15)² + (y- 5)² = 1 O(x+15)² + (y- 5)² = 9…

A: We use completing square method

Q: 5x/4 - 3x-8/3

A:

Q: Explain the two types of finite differences?

A: In this question, we have to explain the two types of finite differences.

Q: 4x+8 x²+7x+12 x2-x-6 x²-9

A:

Q: +4x -4 いり-3 2y-4

A:

Q: 2x -3y = 6 6x -9y =10 Substitution method

A: In this question, we want to know the solution of the given system of equations.

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: why do you introduce auxiliary variables?

A: We introduce auxiliary variables because of following reason

Q: Expand (3x + y). Expand (x1 + 2x2 + 3x3)*.

A: 1. 3x2+y52. x1+2x2+3x34

Q: 1 - 3/2x + 3 > x/2 + 3/2

A:

Q: 4/2-6/8

A:

Q: 5x5+ 20x4 + 7x3 - 30x2 - 8x + 29 / x + 3

A: We have to divide the polynomial by x+3

Q: 3x/x2+x-2 + 2/x2-4x+3

A: Consider the given expression 3x/x2+x-2 + 2/x2-4x+3

Q: horizontal asymtotes of 8x2+2x+1 2x2+3x−2

A: The objective of this question is to find the horizontal asymptotes of the given rational function.…

Q: 3x2- 5 2x2- 3x-2 1. 3x-1 Зх— 1

A:

Q: x/x+3=5/2x+6 + 1/x-2

A: We have

Q: 3x465x³ + 4000x²512x-6= 0; [0,1]

A:

Q: 2. Match the differential equation with the correct direction field. I (a) y' y (b) y'= sin(ry) (c)…

A: The given differential equations are: a y'=xy b y'=sinxy c y'=x2-y2 d y'=x2+y2 We have to match the…

Q: x3~8 X4-16 2

A:

Q: Derevative X3_3x2+4x

A:

Q: 5/x-3 + 2/x-4 > 0

A:

Q: x² + ax - 2bx - 2ab – x - 2ax2 - 2bx2 dx x* + ax² – 2bx2 - 2abx

A:

Q: x2- 2 (x+ 2)(x + 1)² x+2 (x + 1)2 x+2 (I + x) Option 1 Option 2 1 (x + 1)2 x+ 2 (x + 1)

A:

Q: 6. Which graph represents a function? 2 A -3 -2 -1 1 3 -1 -2 -3 1 -3 - -1 1 2 3 -1 -2

A: Graphs are given, we have to find the functions graph.

Q: -2 +x2 x2 +x3 x3 +x4 -1 +x4 -8 +s x3 || ||

A: The given system of the equation can be written in the matrix form as below.…

Q: X1 - 2x2 + X3 + X4 = 4 x1 + 2x2 + X3 + x4 = 1 2x1 = 5

A:

Q: In x (X+2)2 (x+2)7

A:

Q: 5/2 - 2x = x/2 - 5

A: Add 2x to both sides

Q: +6 12+ +10+ 1- 1. 4- 3- X0X 1-

A: We have a 5×5 kenken puzzle. We will put values from 1 to 5 in the cells satisfying the given…

Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

A:

Q: max Z= 3x₁ + 2x₂ -X1 + X₂ ≤4 3x₁ + 2x₂ ≤ 125 X1 X₂ ≤3 X1, X₂ ≥ 0

A: