Match the cards. y= (? + 1)(x² – 1)(x² + 2) As x - 00, y → -00 As x - -00, y - 00 у3 (3х - 1)2 Has a root with multiplicity 2 at x= 1. y = -3(x + 1) (x + 1) (x + 3) Has four non-real Leading term is 3x2, complex roots. y = 3(x – 1) (x – 1) Has a root at x= 3.

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A: To find the cubic equation with the roots as aB , Br and ra

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Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: Obtain the general solution valid near the origin: х(х-2)y1+2(х-1)у - 2у %3D0

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Q: Is (2, –1, 3) a solution of 3x + 5y – 2z = -5 2х + Зу- z 3D —2 2x + 4y + 6z 18? Replace x with 2, y…

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Q: Find дхду of z = In(x² – y)

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

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Q: П. Solve xау + (3х 2y)ax = U in two ways

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Q: у" + 2у" + у" -D х + ex

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Q: 6. Show that when 0</z - 11 < 2, Complex Analysis (z-1)" (2-1)(2-3)=-3 (2- #=() 2(z-1)

A: Here we prove this statement by using series expansion.

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

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Q: Axk + 2xk + k +1 = xk+1 + xk + k +1 = 0. cion to the last equation is %3D

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Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

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

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Q: 7. The equation x² + ax + b = 0, has two real roots a and B. Show that the iteration method

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Q: 3. Find the positive value of real parts of the possible values of z that satisfy the equation: zz +…

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

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Q: Suppose z 2- 3i and w = - 5i. Find: W-Z ?

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Q: What are all of the solutions for the equation 2sin?(0) + 3sin(6) + 1 = 0 on the interval of [0,…

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Q: Suppose that f(t) = e (1−2i)t is a complex solution for an unknown second-order linear equation…

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Q: 4. The roots or solutions of x² + x + 1 = 0 are nonreal. %3D

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

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Q: 4- Find the particular solution for: 3x²y' = 5x – 6xy, x = 2 when y = 1 %3D

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Q: Nonhomogeneous Equations: Undetermined Coefficients у" - бу" + 11у' - бу %3D 2хе-*

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Q: 4. Find for the particular solution of y' = x3 – 2xy when x = 1, y = 2 %3D

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Q: Find the roots of the equation using Bisection Method and False position Method. f(x) = e-2x -4 if…

A: We can solve this using Bisection Method and False position Method.

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

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Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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Q: Show that y = - In x + 3x - 5 is a solution of y" -=0. Use y = - Inx+3x – 5 to find y' and y". y' =O

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Q: a. Find that solution of y' = 2(2x-y) which passes through the point (0, 1). %3D

A: For part a). Given that                      y' = 2(2x-y) =4x-2y                      y' + 2y = 4x…

Q: 3 O -1;2 1; 2 1 Find the roots of the quadratic equation y=x²--2 by using its graph. 6 -4 3 ~ y-axis…

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Q: Verify that z 2 + 4i is a solution of z2 + 6z - 40i = 0. Is 2+ 41 also a solution?

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Q: Which method can solve: y"+2y=0 Constant Coefficient Method of Undetermined coefficient Variation of…

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Q: Find the general solution of ylty = 2xcosx -cosX %3D

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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: Which of these standard form equation is equivalent to the factored form y= (x+1)(x-2)(x+4)(3x-7) A.…

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Q: Solve (x² - 4xy-2y²) dx + (y² - 4xy - 2x²)dy = 0 By using the method of the exact equations 1-…

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Q: 1 Solve 1 3D7 for z. y. 1-

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Q: Prove that the equation Z = 1 has no ++ solutions in positive integers x » Y, Z.

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Q: Verify that y = ODE y" + 3y' + 2y = 4x². -4e-x-2e-2x + 2x² - 6x +7 is a solution of the SHOW ALL…

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Q: 1+z -= 8i - 5 1- z (1) Solve for z,

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Q: 2) For the following LP: min Z = x1 +x3 – 2x4 X1 + 2x2 + x4 = 4 -x2 + x3 - X4 = -1 X1, X2, X3,X4 > 0…

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

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