20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 + 8x1x3 - if x"x = 1?

Q: 3 æ(x – 2)1ºdx 2

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Q: 2 Write a polynomial in standard torm that has 6 solutions, approaches negative infinity as x…

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Q: Verica didn't solve this radical equation correctly. Here is their work: U2x-2 = x- I %3D ©…

A: We have to solve the radical equation 2x-2=x-1.

Q: 9. Integral (2x-5) ai x² = 5x + 3 -

A:

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: Use the IVT to prove that r-5x2 + 2x = -1 has a solution. %3D

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Q: 2. If the area (A) of the rectangle is (4x³ + 5x + 7) and the width (W) is (x + (Z + 4)). Find the…

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: . Find a general solution for y" + 4y = x² by method of undetermined coefficient

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Q: 8) Is (x+3) a factor of x4 + 2x2 + 17x – 48 Drop coefficients onto top line

A: Given,  x4+2x2+17x-48

Q: Solve this problem using the indeterminate coefficients method: y" +2y' + y = 2cos(2x)+3x+2+3e^x

A: Given: y"+2y'+y=2cos(2x)+3x+2+3ex

Q: /4y² - 25 -dy

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Q: 5. Find the quadratic function whose graph has vertex at (1,2) and passes through (3,4).

A:

Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: Given: Z3i=a+bi|a,b∈Z3       =0, 1, 2, i, 1+i, 2+i, 2i, 1+2i, 2+2i We have to find all solutions for…

Q: Find the number of solutions to 6z1+9z2+20z3=150 where the zi are nonnegative integers.

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Q: 6. Suppose a sculptor wants to create a parabolic arch with a height of 5 m and a width at the base…

A: To find -Quadratic equation

Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: 1 is a zero of the polynomial P(x) = x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 - - (b) 5…

A: 1 is the zero of given polynomial.

Q: The base of a three-dimensional figure is bound by the semi-circle y = √4x². Vertical cross sections…

A: In the figure, the strip shows the width of the rectangle perpendicular to x-axis.

Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

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Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

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Q: 9. Find the general solutions of X' = AX with A =

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Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

Q: prove using the IVT. 2x + 3x = 4x has a solution.

A:

Q: ethod of undetermined coefficients to so y" +4y = 2x +2.

A: Given: y''+4y=2x+2

Q: (b) lim In(5x2 +3) – In(2r² + 1). -

A: Given :

Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

A:

Q: 1) ciated with the quadratic form )² – 5x,x, + 6(x,)2.

A: We have to solve the problem

Q: a. Prove that 8s + 13 L-1 s2 + 4s – 5) + 45 – 5 -7(7e" + 9e-st) by using completing the square…

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Q: 2. A management company is going to build a new apartment complex. They know that if the complex…

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Q: Select all quadratics which have real zeroes. O f(2) = (z - 4)² – 2 O f(2) O f(x) = 2x + 4r + 4 - 5a…

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Q: 13, find all the ze 12. f(x) = 3x³ + 14x² – 7x – 10 %3D -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: 4. Find the maximum value of x if f(x)=6cos(x)-3x²-2x. Using Quadratic Interpolation with a relative…

A: Solution...

Q: Suppose that X is a (A = e-100, p = 3e-100)-BCP. %3D What is P(X(1)X (2)X(3) = 4)?

A: Correct answer is 4.

Q: How do I explan that x2+4xy-Sin(y2) is not a quadratic form?

A: To justify that the given expression in x and y is not a quadratic form in x and y

Q: (2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 16. Study the stability of the trivial solution of x" + 5x" + 9x' + 5x = 0.

A:

Q: 4. a. Prove that 8s + 13 L-1 (s² + 4s – 5) 5(7et +9e-5t) by using completing the square method.

A: Since there are two questions posted, we will answer the first question 4.a). If you want the…

Q: 3. Is (3,8) a point on y = 3x - 1?

A: if (3,8) is a point on the line y =3x-1 then it should satisfy the equation y =3x-18=33-18 =9-18 =8…

Q: Prove that there is a solution of the equation 2° + x² + 4 = 0, x in R.

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Q: Salx) = 212-4.87x+ 3,2x² -0,53x3 S(K) =FSzcx) = -30,2 +27 53 x- , 6x+ 0,69X, S(x) = 2イ- 40,争K+…

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Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

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Q: Eliminate the arbitrary constants of: x^2=Axy+By

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Q: x - 6x = 2r – 4y Hom: of the funsti

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Q: 6. Find all real solutions to V3x +1+ V9x + 4 = 11. Show your work!

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Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A: