Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

Q: dx 3 x² (9x²-4) 2 CS

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Q: e equation y-x+6x=18 fill in the steps to write the equation in standard form. %3D PENCIL THIN BLACK…

A: Here we have to write the given in the standard form.

Q: Ax+Bx+ 2 , x2 A) none of the given choices

A:

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: Solve

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Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: elimination of first degree variable:   2x-3y=2 4x-6y=11

A: The given system of equations consists of two parallel lines and two parallel lines never intersect…

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

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Q: The solution of the  equation 2y = 5y - (18/5) is

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Q: P

A: Given,               Max.(Z)=10x+10ysubject to constraint,               5x+9y≥90…

Q: Differentiate: 1. y = x*-x + 5 2 2. α : e+1

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Q: A 1 x る8 %3D 은 AB=C Find X+g?

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Q: Solve Ja-yi ) dy

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Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: 60 120 m%3D Equation %3D 1. 2.

A: X y 0 0 1 60 2 120

Q: 1. y

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Q: Find all solutions xa-10X+100 =0 by using the quadratic for muld. x=

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Q: ZPSR (9x- 3) (4x - 12)° Q.

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Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: -10x Given an equation x3 – y3 = 5, show that y" %3D y5

A: We will show the given statement.

Q: (x² + 1) 을. + 4xy = x dx

A: The order of the differential equation is the highest order derivative occurring in the solution.…

Q: Solve the equation y" – 8y' + 16y =t-te*.

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Q: ex+3x4 lim X→-o 7x4+2ex

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Q: y"-3y'-4y = 2x² - 3 %3D

A: First solve for homogeneous part and then find particular integral  resulting will be required…

Q: у" — 27у 3 0 y

A: Find the general solution using the characteristic equation  y"' - 27y = 0 Characteristic equation…

Q: 9x + 24xy + 16y2 + 80x – 60y = 0

A: answer is in next step

Q: (i+z) dy 3. Solve (itx) 9

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Q: y = 104 %3D

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Q: 3 If 16x"+242 + 9x² - 1 = 0, find the roots f the equation

A: By factoring the polynomial we find the roots of polynomial.

Q: q13.2 You have been given the following equation of a sphere (x^2) + (y^2) + (z^2) - 6x + 4z = 3…

A: