2. Find the least quadratic fit of the form y = ax² + bx +c for the data. Set up by hand. Solve using the QR factorization. %3D x|-2 | 1 2 4 5 2 0-4 -5 |-6

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Q: A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds,…

A:

Q: ,0<x<3 If X has p.d. f. f(x) = . o.w. The probability that the quadratic cquation 4t2 + 4tX + X + 2…

A: Compare the equation 4t2+4tX+X+2=0 with the standard form of the quadratic equation ax2+bx+c=0, to…

Q: hat is the average of the two solutions of the abitrary quadratice equation ax2 + bx +c = 0

A:

Q: Q4/ Solve the following equations by Gauss Seidel Iteration Method. 5 X, - 2 X, + X, = 4 2 X, +…

A: We have to solve the system by Gauss-Seidel iteration method.

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: Find the solution to x’(t)=2x(t), x(0)=3

A: We have to solve the above differential equation.

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

A:

Q: solve z®(p®x®+g®)= 50lue

A: z221+a2 =ln(x)+ay+c1+a2

Q: 6. Find the particular solution of ydx – 4xdy = y6dy; where x = 4 and y = 1.

A:

Q: B. Find the general solution of each of the following Higher Order LDE with cc 4. (D-4D³ +14D² -…

A: The given differential equation is D4-4D3+14D2-20D+9y=0

Q: Solve using the parameter variation method. w''+2w'−3w=8e-t/(1+e2t)

A: The solution is given as

Q: 40e5*, y(0) = ;, y'(0) =y"(0) 9. y" – 2y" + y' = 2 – 24e* + 2

A: Given: y'''-2y''+y' = 2-24ex+40e5x, y(0) = 12, y'(0)=52, y''(0)=-92

Q: If X has p.d.f. f(x) = .0sxs3 1o, 0.w. The probability that the quadratic equation 4t2 + 4tX + X +2…

A: From the given information, The quadratic equation is, 4t2+4tX+X+2=0. Here,  a=4b=4Xc=X+2 Condition…

Q: A P. B. 4x° Solve for x and find m/ NPB, Z MPB Z NPB Z MPB

A:

Q: 2. What is the sum of the roots of the quadratic function y = x² - 11x+28? A -11 D 11 E 28 3,

A: Given that:   y= x2 -11x +28 . Find the sum of the roots of the quadratic equations. Here i attached…

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d'y dx2 + 2y = 3 , y…

A: I am attaching image so that you understand each and every step.

Q: Determine whether yp₂ (x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

A: If yp is a solution of the differential equation f(D)y=Q(x), then yp satisfies the differential…

Q: PART A If WY = 15x - 2 and XZ = 9x + 10, solve for a and find WY. W. Y

A: Given, An isosceles trapezium  We know that the Diagonals of Isosceles trapezium are the same

Q: 2. a)

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Q: B/ solve the following Second order O.D.E d²y + 5y = –180x²e5x

A:

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

A:

Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: Solve for C: V = C -(C - S)/L  N.

A: We have to solve for C for the expression: V=C-C-SLN Simplifying by multiplying both sides with L,…

Q: у" - у' + 4y %3D 0; у(-2) %3D 1, у'(-2) %3 3

A:

Q: Q6) Find least square solution of Ax=b where A=| 2 3 -3,b=|1| by constructing the normal -1 [2]…

A: Given: Ax=b A=-122-3-13b=412

Q: 2. DEFC is a trapezoid. Solve for x, Z1,2,23andZ4. 2x + 8 70 C 85 10r + 4 20r – 2 3. MNPQ is a…

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Q: ty" + 3ty + y = 0

A:

Q: "Use the northwest corner method to find the starting solution, then determine the optimum solution…

A: To find the starting and the optimum solution of the given problem using northwest corner method.…

Q: Q4/ Solve the following equations by Gauss Seidel Iteration Method. 5x, - 2 X, + X, = 4 2x, + 6X - 2…

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Q: The graph of a quadratic function is shown on the grid. -7-6-5-4 -3 -2-1 123 4 56 7 -1 -2 -3 -4 -5…

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Q: Solve for n. d%3D4m+9n

A: solution is given below

Q: Using the method of variation of parameters, what is the form of a particular solution y of (D³-…

A: Given that: 1. (D3-4D)y=x-3e2x2. (D2+2D+1)(D2+4)y=0

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A: Here given quadratic equation as y=ax2+bx+c Since we know the one extreme value of the quadratic…

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

A:

Q: D: Show that the equation z' +pz -g? = 0.

A:

Q: (D3 – D² + D – 1)y = 15sin2x 4. Find the general solution of using method of undetermined…

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Q: Solve for; (d) P(N and W) = P(M and W) = (e)  P(N or M) =

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Q: : Ebobl Qf solve the initiat Valu problem %3esince-2) y(an2) =a

A:

Q: Solve the following quadratic function: y = 20 – 10r + 0.5r2, for the two possible values of r.

A: quadratic function: y = 20 – 10r + 0.5r2 To solve for the possible value of r.

Q: Find the number of canons "t" present in the phantom ship from the given equation. t-11 t-4 4 11

A:

Q: Determine the number of non-negative integer solutions of equation a +b+ at satisfy the following…

A: Given                    a+b+c+d=41    conditions:                    7≤a≤10, b≥10,c≥8 and d≥10.

Q: 12 R トtー SW=12 WT=t 4WST=26° Solve for t

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Q: Obtain the general solution of the Select one: О а. ехp(x) 3 су (х + 2) O b. exp{x} = y (x + 2)^2

A: Given: xy dx-x+2dx=0

Q: 4. Solve the following table using the Direct method of quadratic interpolation. t(s) v(t) (m/s) 10…

A: Given: t(s) 10 15 20 v(t)(m/s) 115 250 450   For quadratic interpolation velocity is given…

Q: 6. The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain d e is…

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Q: 4b+Z Solve for b: y=5

A:

Q: Use the Gauss-Seidel method to solve the following system until the percent relative error falls…

A: The gauss-Seidel method uses the iterations to solve the system of linear equations. The iteration…

Q: Find two consecutive integers m and n such that a solution to f(x)=0 is in the interval (m, n),…

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Q: Compare the starting solutions obtained by the northwest-corner, least-cost and Vogel method for the…

A: To compare the starting solutions  obtained by the northwest-corner, least-cost and Vogel method for…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.