3. Determine the coordinates of the hole(s) in the function below. x² + 10x + 21 f (x) = х2 — х — 12

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A: NOTE: As per the guidelines we are supposed to answer only one question because of this is not a…

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Q: 4. Which is an equivalent form of the following equation? 2x-3y 3 Oy= -x- 1 Oy =x- 1 Oy =x-1 Oy =3x…

A: Given 2x-3y = 3 Solution :  2x = 3 + 3y 2x-3 = 3y

Q: 4. Consider the convolution f(t) = 24 2(t-11), where corresponds to the Heaviside or unit step…

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Q: Q.4 Use the one sided Greens function to solve the I.VP. 1 12y"-6y=nt, 6 (0)=1/² y'(1) = y(1)=-

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

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A: This question is related to diffential equation.

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Q: 4. Suppose the following functions are a general solution of: y(4) + a3y/" + azy" + a;y' + a0y = 0

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Q: 7. Find the value of h(2) given that (ho gXx)= 4x +4x+4 and g(x) =2x + 1.

A:

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Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. x = cjeßt + c2…

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A: Given that: (x2+36)dydx=1        and  y(6)=0

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Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: Thank you.

A: implicit function rule dy/dx =-fx / fy

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A: We know that graphically solution of fx=gx will be the intersection point of fx, gx

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Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of…

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Q: Which of the following functions of u(x, y) is/are the solution of the equation: = 0.

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Q: 5. Determine the Particular solution of this equation in terms of Y ( +y = -x'y* y = ) y = G) y = G)…

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Q: Let f(z) =z² – 40, g(z) = 3z – 5. Solve for z exactly: f9(=}) = 0

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Q: Q3: Solve the following 02

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Q: Which of the following functions do not form a set of fundamental solutions of y" - 4y 0 Select one:…

A: We will find out the required set which don't form a fundamental set of solution.

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Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

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A: Given differential equation y'=3y/(xIn(x)) Now we will check the given statement as shown below

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Q: .3 23–38 Find the critical numbers of the function. 24. ƒ(x) = x³ + 6x² 15x

A: See the details solution in below

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A:

Q: Which one of the functions given below is a solution of the DE 2y Xp None of These y3cx c=x'y In y +…

A: Given, dydx=2yx We need to fins the solution of the given ODE. This can be evaluated as follows:

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Q: III. Solve the problem 1. x"(t) + x(t) = 6sin2t; x(0) = 3 and x'(0) = 1 2. Given:

A: As per bartleby guidelines we only give first question answers.

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Q: 1 The function y= is a solution of 4x?y" + 12xy' + 3y = 0 for x > 0 A) True B) False

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Q: 3. Which of the following functions, 2 x(t) = 1, x(t) = ²/₁ is a solution to the DE x'= -x²? x(t) =…

A: As per our guidelines we are allowed to solve only 1 complete question. kindly repost others. THANK…

Q: The function f(x)=(7x−7)e^4x has one critical number. Find x.

A: Given,          fx=7x-7e4x

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Q: Solve the following optimization problem (using second order conditions to confirm your…

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Q: The function v= xex is a particular solution of y' + 2y – 3y= 4e*.

A: To check if  y = x ex is  particular solution of y'' + 2y' - 3y = 4 ex