Findβsuchthattheequationβx2+x+β=0 has repeated real solution

Q: Let flx)-4x H2 %3D

A: Topic = Function

Q: Find the complete solution of (x + 4y³dy – ydx = 0)

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Q: Find high order DE 6. (D4-5D² - 36)y = 0

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Q: Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + at

A: Given:To Eliminate ARBITRATY CONSTANTS y = a²t² ; x =b + atSince  we know that, number of…

Q: 1 If y = V1-x then y' = 2/1-x

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Q: minimize Z - 3x, + 6x2 pubject to 3x, + 2r, s 18 X + x2 2 5 XI 54 x2/x, s 7/8 X1. X2 2 0

A: The step-wise graph is drawn and shown below follow these to reach the answer.

Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: =2x, 0Sx<2 is

A: f(x)=2x, 0≤x≤2

Q: Write the dual of the LPP Max z = 4x1 - x2 + 2x3 Subject to x1 +x2 < 5 2x1 + x2 < 7 2x2 + x3 2 6 xi…

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Q: Maximize B=6xy^2​, where x and y are positive numbers such that x+y^2=4.

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Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

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Q: 3. If X is a solution of the IVP X': Х, X (0) — %3D %3D then X %3D

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Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: 2. Find the critical numbers of y =2x² – x4

A: Given y=2x2-x4

Q: Find ALL antiderivatives of 7x2 + 9x - 5.

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Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Given that W'=-9-7x-15x2. Show that the given equation  can be written as the linear combination of…

Q: Solve ylk + 2) + 2yjk + 1} + v[k] = 0 if y[-1] = 1, y[–2] = 1 %3D

A: Given,                            y[k+2]+2y[k+1]+y[k]=0                               ...(1)…

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

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Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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Q: Show that Live - de = In(V5- 2). -1 Vx2 + 2x +2

A: We need to show that, ∫-11-dxx2+2x+2=ln5-2

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: b) y = In(xeVx + 2)

A: The solution are next step..

Q: then the ² u - y² is მყ2

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Q: P onl the hy

A: Volume of solid =∫∫RzdA

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

Q: Solve for x: V3x +6 +V4x – 5 = 3 (4х — 5 3D 3 x= – 74+42/3 74+ 42V3 x = 74 – 42/3 x = 74 +42y3

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Q: ). Find 1 |z-j|=2 Z

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Q: 2-If x(z) = 2z + 5z¬1 + 6z-3 – z* find x(n). %3D

A: Consider the given equation:   xz=2z+5z-1+6z-3-z4

Q: Q2// Find the optimal point from the * :mathematical model (by Big-M methods) Max Z=150 x, +110x+…

A: We solve given LPP by Big-M Method.

Q: Minimize Bubject tos * +2x2+3x3-12 0 X2+ 2xg +3x4-4 0 by direct substitution method.

A: Given, fx=x1-x22+x2-x32+x3-x44---1 subject to the constraints x1+2x2+3x3-12=0…

Q: Find general solution ofy

A: Given data:     The given differential equation is: y’’’-9y’=0     The expression for the given…

Q: Suppose X ~ N(2,3). What value of x has a z-score of -0.67?

A: Given, X ~ N(2,3) Implies, Mean = 2 Standard deviation = 3

Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: Evaluate A (z 2") by parts.

A: Solution:

Q: Differ entiate he ff:- finduct Rule Df (x)= Sx(6X=1) %3D

A: f(x)=5x(6x-1)

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: Show that |Aut(Z2 × Z2)| = 6

A:

Q: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

Q: Find Ai シ+ト+トz= \ + 0,5A-0-がアr ー /3

A: To find A1 and A2 from the given two equations

Q: First order linear of 2x3y'=y(y2+3x2)

A:

Q: −5x3−33x2+62x+48 has root(s) at x=

A: The given function is of degree 3 so, it has three roots real or complex.   Here we have to find the…

Q: Consider the LP: maximize z = c1X1+ C2X2 s.t. 2x1 + X2 11 -X1 + 2x2- 2 X1, X2 Determine all optimal…

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Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: Q4. Solve graphically. minimize 4x, + 2х, Subject to: х, + 2х, 2 2; Зх, + х, 2 3; 4х, + 3x, 2 6; X;;…

A: Given: 4x1+2x2=Z Subject to constraints : x1+2x2≥2 3x1+x2≥3 4x1+3x2≥6 x1;x2≥0

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

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Q: Irr( V1 + 7, Q) = Vī, Q) = O gt – 4x² – 2 O xt – x - None O xt – 2x² – 6

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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.