The discriminant of ax? + bx +c = 0 is defined by-

Q: Express the solution of, x3 + 2x? < x + 2, using interval notation. O (-2,-1)U(1,00) O…

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Q: For all numbers x: /x/ > 1/x . Which is the appropriate counterexample? a. 1 b. -2 c. 2 d. -1

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Q: 3 æ(x – 2)1ºdx 2

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Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

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Q: Which equation has no real Solutions? Ax+2x+l=0 7. +2x+1%=0 BX+4x+2=0 ©*+5x+7=0 6x+ 6x+8=0

A: For real solution check the discriminant of all rhe quadratic equation.

Q: Find a value of n such that y = (x^n)(e^x) satisfies the equation xy' = (x-20)(y)

A: given,     y = (xn) ex satisfies the equation xy1= (x-20) y

Q: 글x + 등 O Write the equation y Fin the standard form 3 of Ax + By + C = 0.

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Q: Assume the equation has a solution for x. ax+3x = bx+5 %3D

A: Since the equation is: ax+3x=bx+5

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: What is the value of x+y+z? Find x and B, if B =[2x+3x+2 is symmetric. -3

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Q: x = -1 if y=u° +5u – 4 a

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Q: Solve the following Homogenous LDE: (D2+4D-5)y=0

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Q: at is the end behavior of each of the fo 1. y = -4x3 + 2x? +7 2. y = 2x - 3x + 4 3. y = -x³ + 2x5 -…

A: We have to find the end behaviour

Q: The domain off(x) = 3-x is 1-x2 %3D 1. R 2. R/{1,-1} 3. R/{3} 4. (0, ∞)

A: Domain: The domain of a function is the set of all input values for which the function is defined.…

Q: Suppose A is m x n and b is in TRm. What has to be true about the two numbers rank| A b and rank A…

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Q: The general solution of y' = Y can be written in the form = C

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Q: if (a+b+2c+3d)(a-b-2c+3d)=(a-b+2c-3d)(a+b-2c-3d) then 2bc is equal to??

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Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: у" + 2y' +y = 4e' ¬x

A:

Q: By direct substitution, show that y = Jo(x) is a solution of the DE: x²y" + xy' + x²y = 0

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Q: O Xツ=) X-フ=C X-ツ=-) の 3x+7ソ-32=2 2x +.5y +7= -4 2x +6y tlo2 - }

A: According to our guidelines, we can only answer 3 subparts, the rest you can repost. The given…

Q: If 2° = 3° = 6° , show that c= ab %3D %3D a+b

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Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then,…

Q: Explain why the following equation is true in Z7 1 1+ = -1. 3

A: Kindly note that there is only one brown page visible in your question post and it has only one…

Q: which value of x satisfies the equation 5x 10 – Vx - 4 = 0 O A. 2 7 о в. 3 2 о с. 7 OD. 3

A: Topic:- algebra

Q: Prove that the equation x2(a2+b2)+2x(ac+bd)+(c2+d2)=0 has no real root ,if ad is not equals to bc

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Q: Solve the following defferential equation by using variation parameters method: y’’+6y’+9y=4+e^-2x

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Q: Find the value of x in the given figure. 2x + 22 4x-2 3x+3

A: Given,           A triangle is shown below :

Q: 1.) fx secx dx

A: We solve it by integration by parts with respect to x

Q: Show that y = Ce  is a solution of y" + 3y' + 2y = 0 for any real number C.

A:

Q: What is the discriminant of the equation ar+ bx +c= 0? D=

A: Given equation :

Q: Find the value of x in the given figure. 2x + 22 4x-2 3x +3

A: Find value of x

Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Jx-6dx is 3(x-6)% -+c 2 Ob. (x-6) +c O . (x-6)% 2 O d. 2(x-6)% -+c 3

A: I=∫x-6 dx   Let x-6=t⇒d(x-6)=dt⇒dx=dt

Q: Which shows all of the solutions of the equation x 16 %3D 121 4 11 O z = +

A: To find- Solutions of the given equation.

Q: 2- The homogenous diff. equation can be put in the following form: B- y' f(x)

A: Here we will find the correct option,

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

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Q: (a) ах = Du DE = du, ada voa waye by oz + + + 2x DE 2. (x²= y² + x) x (2x+₁) + (-2xy-9)x (-2y) (2x +…

A: We have to simplify (x2 - y2 + x) × (2x + 1) + (-2xy - y) × (-2y)

Q: 1- Form the PDE by eliminating the arbitrary constants from the following equation : z = (x - a)? +…

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Q: If w = (4x-8y)(-3x+5y) , find Wxy at point (2,1) ху

A: Given that, the function w = 4x-8y-3x+5y To find the Wxy at point (2, 1)

Q: Let a, b, c be the solution to the equation below 0 = x3 -(2 + 22 + 23)x2 + (23 + 24 + 25)x - 26…

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Q: y" if y = (x² +x + 1)? %3D

A: Given function is: y=x2+x+12 We have to find y".

Q: Find the value of x in the given figure. 2x+ 22 4x-2 3x+3

A: As per property of triangles,Sides opposite to equal angles are also equal.

Q: given Fixsy) = (I-x3_y3)3 what is

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Q: Identify the correct equation for the ġraph below. -2 -2 O 'y =2x + 3 O y = 1/2x + 3 O y = 1/2x - 3…

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Q: ELIMINATE THE ARBITRARY CONSTANT/S IN THE EQUATION. 1. у%3D Ае2х + Bxe2x 2. у%3D Ах2 + Ве-* 3. у%3D…

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Q: (y- when X=0 y> 1 X2. xay =D

A: Given equation is  (y-√(x2+y2))dx-xdy=0

Q: С. The possible x and y intercepts of x+3 y=- x² +6x+9 O -3, попе,

A: Given y=x+3x2+6x+9

Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

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Q: e that ) a; = 28 %3D i=1 - 4g: + 9h:)

A: The given summation is : ∑i=1136ai=28  a1+a2+a3+a4.....................+a136=28.…