Find the two roots of the quadratic function f(x) = 9x? – 3 – 1 Enter your answers as exact expressions separated by a comi omma.

Q: Use Newton-Raphson's Method to approximate the real solution of the following function. f(x) = e-x –…

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Q: Q2-use Newton-Raphson method to obtain a root of equation x'-5x+3+0

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Q: I) Choose the appropriate g between the following functions to solve the equation 3xe*-1 0 on [0,1]:…

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Q: Solve Algrebraically. Give both an exact answer and a decimal approximation to three decimal places.…

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Q: apply 4th order Runge-Kutta to solve the following value problem y = x^2 + y for h = 0.1, y(1)=1 and…

A: The given function is fx,y=x2+y And x0=1,y0=0.1 since the step size h is given as h=0.1. Now to find…

Q: 2. flw=1-21 f(u)=3u flur2)= (ut) fla-1)= %3D

A: To solve the given functions. 1 fx=3x2+4 fx+2=?2 fx=1-2x3fa-1=?

Q: Find g'(t/2 ) if g(x) = (Express your answer as a simple number). %3D Vsin x

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Q: Use the Intermediate Value Theorem to verify that the following equations have three solutions on…

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Q: The positive root of x +2x-2=0, by Newton-Raphson method, correct upto three significant figures is…

A: Let fx=x2+2x-2⇒f'x=2x+2Now put x=0 we get     f0=-2Again put x-1  we get     fx=1+2-2=1⇒f0=-2<0…

Q: Q.4 (A) By using NRM, find the real root of x3 – 2x – 5 = 0 accurate to six decimal places in the…

A: (A) Given: x3-2x-5=0 Differentiate the function with respect to x. ddxf(x)=ddxx3-2x-5f'(x)=3x2-2…

Q: Q3/ Find the root of the equation 3xe* = 1 by using Newton- Raphson meth Xo = 0.5, € = 10-3 Add Filo

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Q: 4. What are the roots of the quadratic function y =-x +3x-4? A x+1 and x=-4 x--1 and x-4 315i 3 7 3…

A: Shri Dharacharya method is to be used here

Q: Find the 3 roots of the equation x3-1.25x+0.25 using BAIRSTOWS METHOD. USE r=1 amd s=2

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Q: Q 2- use Newton-Raphson method to obtain a root of equation x'- 2x + 3x -5 = 0 %3D

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Q: B) The roots of HX-3X + 2 =o are a and B. Snd s Land x+P equation whose roots Mew are

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Q: Use Newton-Raphson's Method to approximate the real solution of the following function. f(x) = 2sinx…

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Q: (a) Use the Intermediate Theorem to prove that Vx + Vx + 7 = 3 has a solution in the interval [0,…

A: We have to use intermediate value theorem.

Q: B) Find the approximate roots of the following equation: f (x) = x³ – 8 = 0, on the closed interval…

A: Use the bisection method to find the roots of x3-8=0 find two points such that f(a)fb<0…

Q: 1. Consider the general equation of a quadratic f (x) = ax? + bx + c (Recall: a, b, function: and C…

A: Function problem

Q: 10 How many real roots does the quadratic function f (x) = x +6x +9 have? 2. D. cannot be determined

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Q: Find the roots of the function f(x) = (2" – 1) (a2 + 2r – 3) with r ER. %3D

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Q: Given the function g(r) = (r – 6)( – 12r + 2)'(r – 7)°, its roots are Preview and their…

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Q: 2. Solve for the root using Secant method with initialguess of R3=14000 R, =15000Es =0.01% f(R) =…

A: The root of the equation can be approximated using numerical methods. The formula for the secant…

Q: What are the roots of the quadratic function y =-x +3x-4 ? %3D x+1 and x--4 x--1 and x-4 -3+51 C E I…

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Q: Poove j-2 A diveoges using

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Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x - 3x + 1 %3D Lising a…

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Q: Solve for z. 4r 7 1 5/Ax Submit Question Iype her %3D

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Q: Determine the real roots of f(x) = x – 4x – 9 (a) Solve graphically using excel (b) Solve by hand…

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Q: Q2: Using Newton Raphson method to find the root of the function: + 3x , and xo = -1. with & = 1 x…

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Q: Given the function g(t) = – 10(t – 5)°(t + 3)°(t – 6), its roots are and their multipicities are

A: To determine the roots of the function and their multiplicities.

Q: Solve the following quadratic equation by completing the square. If necessary, round to the nearest…

A: Given quadratic equation x2+8x-9=0

Q: Match the function with its set of roots. 0, 4) h(x) = 4x2 –- x f(x) = 4x2 – 1 | g(x) = 4x² – 4x + 1…

A: To match the function with its set of roots.

Q: Q/ Solve the DEs: 1-a+ykdx+(1+x*)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 6. Determine the four roots of the equation (z–2)*+(z+1)' = 0 and plot them on an Argand diagram.

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Q: Determine the approximate value of one of the roots of the function f(x) = x3 – x + 1 by applying…

A: Given  The function is f(x) = x3-x+1 .

Q: A quadratic equation x2-4x+4=D0 is defined with Po=2.5 and p1= 3.4. Find the approximated value of…

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Q: Determine the approximate value of one of the roots of the function f(x) = –2x³ + 3x – 5 by applying…

A: The given function is fx=-2x3+3x-5. Observe that, f-1=-2-13+3-1-5=2-3-5=-6 Similarly,…

Q: %3D 8. Use the Intermediate Value Theorem to prove that the equation e~² + x² = 4 has a real root.

A: Here use the intermediate value theorem and show that the equation e-x + x2 = 4 has a real root.…

Q: find the differentiate of h(t)= the 5th square root of t - 5e to the power of t

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Q: Find the formula, in standard form y=ax2+bx+c for a quadratic that has roots at x=4+i and x=4−i ,…

A: If p and q are the roots of a quadratic equation with a leading coefficient of 1. then the Quadratic…

Q: of and dy of For the function f(x,y) = In (9x + 8y), find

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Q: Q.4 (A) By using NRM, find the real root of x3 – 2x – 5 = 0 accurate to six decimal places in the…

A: Question: Find the root of x3-2x-5=0 in the interval 2,3 using Newton Raphson Method.

Q: 2. Solve y"(t) + 4/(t) + 5y(t) = -2 cosh t

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Q: Q/ Solve the DEs: 1-a+yxdx+(1+x)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: 2. Solve the following equation for t using the quadratic formula: at2 S= vt + -

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Q: у" — Зху' + 2у %3D 0

A: Given the eqn. y"-3xy'+2y=0        .....(A) then,  y=c0+c1x+c2x2+3c3x3+......=Σn=1ςnCn xn-1…

Q: The roots of x² + mx + m – 24 = 0 So X1 the expression to get the smallest value?

A: Given that: x2+mx+m-24=0 has roots x1 and x2

Q: Find all root s 니 2.V-니

A: Given : 2 × -44