Find the change of variable x = Py that transforms the quadratic form x'Ax into y' Dy as shown below. [Hint: x and y must have the same number of coordinates, so the quadratic form shown here must have a cofficient of zero for y.] 17x + 5x3 + 5x3 + 6x,x2 + 6X4X3 + 10x2X3 = 19y7 + 8y3 P=O (Type an exact answer, using radicals as needed.)

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Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

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Q: Determine all the roots of  f(t) = 9t3-18t2+6ta

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Q: quadratic function J (- nonzero integers.

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A: Consider the diagram:

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Q: 1. Find the discriminant of f(x) = x^2 +3x+2 How many x intercepts would the quadratic have if the…

A: as per our company guidelines, we are supposed to answer the only first question. Kindly repost…

Q: The quadratic equation y = - 0.4(x + 2)(x – 4) is in factored form. What are the x-intrecepts for…

A: We put y=0 and solve for x to get the x-intercepts.

Q: For what value of a will the quadratic function y = a(x-6)2 - 27 pass through the point (0,225)

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Q: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: 4. Use the quadratic formula to find the zeros of each function. a. f(x) = 3x² + 5x – 2 %3D b. f(x)…

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Q: 1/2x2 + x − y − 2 = 0 Find the zeros if any

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Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.