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

Q: Find least square quadratic approximation of function with f(- 2) =0 f(– 1) =5 f (0) =0 f (1) = – 5…

A: We have to solve the given problem by least squares method.

Q: b.) Find the root of f(x) = 2x³-5x+2 using Method of successive substitution. (Allowable error <…

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Q: 1 Q.4 Find the formula and domain of fog and gof when f(x)=x-- and g(x)=: 1+x

A: 4. Given functions are  f(x)=x-1xg(x)=x1+x2

Q: Please I want solution of question 4 with step by step. Many Thanks

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Q: a) Find the 4th approximation of the positive root of the function f(x) = x ^ 4 - 7 using the…

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Q: Find f(x) by solving the initial value problem s'(x) = 4x2-5, f(0) = -3 %3D

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Q: 1. if f(x)= x2-4,  g(x)=x3 , F(x)=1/(x-3) a. F(g(y)) b. f(square root of x4+2)

A: F(g(y)) can be obtained by replacing x by g(y) in F(x)

Q: 53. Suppose that f(x) = 3 sın x. 3. (a) Solve f(x) 2. %D (b) For what values of x is f (x) > on the…

A: Find your answer below

Q: Your polynomial should have. Degree 4 Roots at -2, -4 and 3 f(x) approaches negative infinity as x…

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Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: Since 1 and i are the zeroes of the polynomial, therefore

Q: Determine the real root of f(x)= 4x^2 - 10x + 4.  Iterate until the estimated error falls equal or…

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Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: 18. f(x) = x* – 5x³ + 7x? + 3x – 10 Possible Rational Roots (PRR): SHOW WORK HERE: Zeros:

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Q: 5x^2−3x−8 has roots at x=

A: Consider the quadratic equation To find - roots

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: 6. Given f (x) = 6x – 4, solve for x for which f (x) = 7 -

A: For the given f(x), equate f(x)=7.

Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: Find the maximum of f(x) = 30x4 − 121x3 + 60x2 + 64x USING Newton’s method (x0 = 4, εs = 1%)

A: Given, fx=30x4-121x3+60x2+64x With initial point, x0=4 Differentiating the given equation up to…

Q: 3. Use Muller's method to determine the positive real root of f(x) = 9.34 -21.97x + 16.3x² - 3.704x³

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Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

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Q: 20. f(x) = In x + 2e 3x2

A: Topic = Derivative

Q: (4) Suppose the coefficients of the cubic polynomial p(x) = a + bx + cx² + dx³ satisfy the equation…

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Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: OFind a root of an equation f(x)=2x-2x-5 using Newtor aphson Method

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Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x? + 450 x - 1001…

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Q: 2. Let f(x) = 16x 4x and g(x) = 18x + 3. Solve for x when f(x) = g(x)

A: We will solve for x when f(x)=g(x)  in the following step.

Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b)…

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Q: 3. Find expressions for the quadratic functions whose graphs are shown. yA (-2, 2), f (0, 1) (4, 2)…

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Q: 8. Find all the roots of f(x) = x' - 4x' +6x² – 4x+5 if 2– i is one root.

A: We will find all the remaining roots as following.

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: the given conditions are: n=4; 2(with multiplicity 2) and 3i are zeroes, f(0)=36 we have to find an…

Q: (c) Prove that the equation x +5x=4cos.x cannot have more than one real root. %3D

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Q: Determine the real root of f(x) = 5x^3-5x^2+6x-2. Iterate until the estimated error falls equal to…

A: Given: fx=5x3-5x2+6x-2

Q: 0, xS3 F(x) = -k x2 3

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: Use the Intermediate Value Theorem to prove that 8sinx = x has a solution between and a. 2

A: Let us consider a function f(x)= 8sinx-x

Q: 1 For what value of x does the function f(x) = =x³ – 4x attain the absolute maximum - in the…

A: here option (c) is true on doing differentiation we get the  f'(x)=3x^2/3-4 f'(x) =x^2-4 put f'(x)…

Q: 2) Consider the function f (x) = (x + 4)ʻ + 1. %3D What is x when f(x) = 0 ? 3) Factor 2x + 6x – 3…

A: Given, f(x)= (x+4)²+1 f(x)=0

Q: ind the values of k for which f(x) = kx3 -9kx2+9x+3 is increasing on R

A: Definition used -                  Interval of increase -                    A function f(x)…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions:n=3-2…

A: We have n = 3. It means we need to find 3rd-degree polynomial. It is generally given as follows:-

Q: Prove that the equation x- 15x +k = 0 has at most one root in the interval [-2, 2]. Hint: You'll…

A: Dear friend,  if you have any other query about this problem, then please tell me about your query I…

Q: 8. Consider the quadratic functions: f(x) = -2(x+3)(x-7) and g(x) =(x+3)(x-7). How are they the…

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Q: Determine the real root of f(x)=5x3-5x2+6x-2. Iterate until the estimated error falls equal to or…

A: MOSS:- Method of successive substitution Given that fx=5x3-5x2+6x-2 For Real root put fx=0…

Q: Find the în tervals of concavity of the function 2. f(x) = X²(x²+4x-18)

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Q: 7. How many roots are there to the function J (X) = -3x" + 8, How do you know?

A: topic - quadratic equation

Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: Q1: Prove that the equation x2 = 7 has a unique positive real root. %3D

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Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Q3: Use Secant method to find the root of the function f(x): f(x)=x²-6 with xo =3 and x₁=2 . Do 5…

A: It is given that fx=x2-6. We have to use the secant method to find the approximation of the root of…

Q: Given f(x) = -3x + 3 and x = 4r In (3s). Find f, (2, 3). Give your answer correct to two decimal…

A: fr=∂f∂r=∂f∂x×∂x∂r fr=∂f∂r=-3×4ln(3s) fr(2,3)=-12ln(3×3) = -26.36669493