IX)-2x²+x-3 and gex)-X Express FCX) J)-IP60•9607 as Poiynomial in Stadard foran E(x) g(x)- [F.gia]-(2x*+x-3)Cx-1[2x^+x -3=A-1]

Q: 1. Determine a possible quadratic function in standard form with a root at x=2+2.

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Q: 2- Determine the highest positive real root of x' - 6x² +1lx = 6.1 Using Secant method (perform 2…

A: Let, f(x)=x3-6x2+11x-6.1=0 is the given equation. here lower guess = 2.5 and upper guess = 3.5. We…

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

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Q: 1. Determine one real root of 2xcos2x – (x – 2)² = 0 - on the interval (2, 3)using the Bisection…

A: We have f(x) = 2xcos2x-x-22 Also we have a = 2 and b = 3 f(a) = f(2) = 2×2cos2×2-2-22 = -2.61457

Q: 4. Find for the positive root of x³ = 2x + 5 using method of False position. Do only %3D four…

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A: f(x) = x4 + x - 6 ƒ is continuous over the closed interval [a, b] if and only if it's continuous on…

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Q: 1. Differentiate. Show your work to get credit. a) g(x) = x* In(2.x² +7) by using the product rule.

A: SInce multiple subparts are asked, I am ansering only first 3

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Q: D if x,Y,2 inclepndent Variables and z function in X, Y which achieves the eguation find az…

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Q: 2. Determine one real root of 2xcos2x – (x – 2)² = 0 on the (2,3)using the Regula-Falsi Method. Do…

A: Here -(x-2)2 + 2x(cos(2x)) = 0Let  f(x) = -(x-2)2 + 2x(cos(2x))

Q: 8.26 Show that the IVP x" = –6x(x')³, x(-1) = -1, x'(-1) = , has a unique solution x and find the…

A: Given IVP is x''=-6x(x')3 , x(-1)=-1 ,x'(-1)=13

Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

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Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ with false position method using initial…

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Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

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Q: An arbitrary point x of 0.1 is chosen. Since it is known that x> = 5, what is the existence of x> =…

A: x is an arbitrary point of (0,1)  and x ≥0.5x≥78=0.8

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Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: 2. Identify the approximate input values of any relative maximums and minimums of this 5th degree…

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Q: 1 Find the interval and radius of conv. of- '(1–4x²)

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A: Since x^4+x-8 is a polynomial it is continuous.Answer: f(x)=x^4+x-8 is continuous on the closed…

Q: Exp (tr/0.32) MT BF due to tr : (9.6X1018 )x 250x106 x1 fose T 0.3ns - TrE 14:99 N 151(D-flip flop…

A: the first step is MTBF=exptr/0.37n9.6×10-18×250×106×1 given tr=14.99≈15n substitute the values…

Q: Show that the IVP x" = –6x(x')3, x(-1) = -1, x'(-1) = 1/3, has a unique solution x and find the…

A: The given initial value problem is, x''=-6x(x')3                                     ..............1…

Q: 4. Find the maximum value of x if f(x)=6cos(x)-3x²-2x. Using Quadratic Interpolation with a relative…

A: Solution...

Q: 6. Prove from first principles (with ac- 6 argument ) that लेग ½ lim 7--1

A: 1x2+1-12=2-x2+12x2+1                               =2-x2+12x2+12+x2+1…

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Q: -5 -4 -3 -2 15 -30- -45 -60- -75 -90 -105- -120- -135- J 2 For the above quartic polynomial f(x):…

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Q: 2. Determine one real root of 2xcos2x — (x − 2)² = 0 on the (2, 3) using the Regula-Falsi interval…

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Q: Itiple of 2} and B = {multipl %3D isible by 3} and B = {divisib

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A: Given,            y =e-3xAcos 5x -Bsin 5x + Cx

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A: We can use intermidiate theorem in order to solve the given problem.

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A: 3. Given function is Px=4x3-x2-6x+4

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Q: 8. Find the (only) equation of a polynomial p(x) th • Root at 0 of degree 1 • Root at 1 of degree 1…

A: Let the leading coefficient = a So, P(x)=ax(x-1)(x+3)2 Given that P(2)=5  Using that we find a

Q: 29. For |x|<1, prove that 16x 24x 8x 1 + 1-x1+x 1-x ..... .. 8x 8x = 1+ (1- x)? (1+x)²' (1-x)?

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