Ex.: Solve (2D+3D-9)x+(D² +7D-14) = 4 (D+1)x+(D+2)y= 0 (2)

Q: Solve (D² + 6D+9)y=2e¬3x

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Q: Solve limp2 23 –4x2 +4x 3x4 –12x3 +12x2 -

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Q: (D² + 4D + 8)y = 1 - 3x

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Q: Solve (D3+2D2-3D)y=x.e3x

A: Given: The given differential expression is a non-homogenous linear differential expression. The…

Q: ( y = 3x2 + 3x — 5 - 2x-y=3

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Q: 1. lese the meto d ethe delerminatt i findl the Uadue Fk fr whんich Coussteut Hhe Set of Lineer…

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Q: 9. Which equation is the general form of (x – 2)? – (y+ 5)? = 18? O 2? – y? – 4x – 10y = 1 O x2 – 3?…

A: →The expansion of (x-a)2 = x2-2ax+a2.→The expansion of (y+b)2 =x2+2by+b2

Q: Solve; (2x+3y-2)dx+(3x-4y+1)dy = 0 H.W

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Q: ou missed a square at first. it is 22dx/(x2-1)2  please fix it

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Q: 25x2+16y2-600x-256y+4224=0 What is the standard form of the equation?

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Q: b) Plot the quadratic y=-2x² + 8x-8, where 0≤x≤ 4.

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Q: Reduce the equation 3x +6yz -y -z? -6x+6y-2z -2=0 to the standard form. |

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Q: What is the vertex of the quadratic y = 6(x – 2)² + 10?

A: Given quadratic equation ;   y = 6 (x -2)2 + 10 On simplifying; y = 6( x2 +4 -4x) + 10 y =  6x2 -24x…

Q: 2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

A: The given differential equation is (6x+1)y2dydx+3x2+2y3=0. Divide both sides of the given equation…

Q: Verify  (x+1)2= 2 (x-3) is a quadratic equation or not

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Q: y = 2x2  + 4x +1

A: Give equation,  Y =2x2 +4x + 1 Now plot the graph of this equation.  When,  x = 0; Y = 1;

Q: b) Plot the quadratic y=-2x² + 8x-8, where 0 ≤ x ≤ 4.

A: y=-2x2+8x-8

Q: Derive: y = (5x-2)(2x + 3)-²

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Q: Express x2 + 6x + 16 in terms of a perfect square.

A: Given expression is x2+6x+16. Making the given expression as perfect square.…

Q: 6x + 4y = – 26 %3D lx - 2y = 1

A: To solve the system of equations we use substitution method. The method of substitution involves…

Q: What is the intermediate step in the form (x + a)? = b as a result of completing the square for the…

A: Given :                 x2 - 18 x = -117 To find :                  The intermediate step

Q: Substitution Suggested by Equation 2. = (9x + 4y + 1)² dx

A: A differential equation can be solve using substitution.   Let us considre the differential equation…

Q: Does (7, 0) make the equation y = 2x + 7 true?

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Q: (D4 + 2D³ - 3D² - 4D + 4)y=0

A: (D⁴+2D³-3D²-4D+4)y=0 So, D⁴+2D³-3D²-4D+4=0

Q: 4. solve (D3 -1)y D 3x 2x

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.