POLYNOMIAL FUNCTION. Identify the smallest upper bound and largest lower bo 7. g(x) = x³ + 8x² + x – 42 8. h(x) = x? + 8x + 15

Q: if g'(x) = x(x-5)(x+1)4 , then g has a local maziumum at

A: Given that g'(x)=x(x-5)(x+1)4

Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). X 0 1 4 6 -1 1 y -1

A: We have,

Q: 1 1. Solve the rational equation x - x - 6 x- 3 x +2 and state any NPV's.

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Q: Given the function P(n) = (n – 2)( – 5n + 6)°(n – 3)°, - its roots are and their multiplicities are

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Q: Find a degree 4 polynomial that approximates the solution of y'=y+x², if y=1 when x=0. a.y=1+x+ b.…

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Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Determine the…

A: Given: A number of data points X,Y.   To determine: The value of Y at X=-7.5 using the direct method…

Q: 6. Find the nth degree polynomial that satisfies the given conditions. (R__S_ n = 4, and 2 + 3i are…

A: Given: - The conditions are, n=4, 13and 2+3i are zeros: f(1)=100 To find: - The nth degree…

Q: The function f(x) = x -x2 - x- is graphed in 11 %3D 4 the xy-plane above. If k is a constant such…

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Q: 20. Solve for the Wronskian of the set of functions: 3x - 1, x* - 2. 2x + 3 A. 4x (9x + 10x-90x -…

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

Q: (a) The graph of f(x) = (x + 80)´ can be obtained from shifting the graph of f(r) = r to the %3D 80…

A: (a) The graph of fx=x+802 can be obtained from shifting the graph of fx=x2 to the  left  80 units.…

Q: HW 2.2 Module 2 GED102-1 Submit your excel solutions for each of the following problems. 1. Find the…

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Q: on 15 e quadratic approximation of the function f (x) =5x³– 4x+ 12 at x=1 is: P 15x2 – 19x+ 17 P…

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Q: 14)- Consider the following formula f"(x,) = a-4fo+3f-1 _ 2hfm(C) 6h2 3 Find the optimal h.

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Q: 1. If the roots of the quadratic function f(x)=x²+2x+1 are to be obtained by paper folding, exactly…

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Q: 3. If any of the linear factors of a polynomial function are squared, then which of the following is…

A: In this question, we have to find the correct option for the given statement as If any of the linear…

Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

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Q: NUMMTD PROBLEM 2: Evaluate the polynomial y = x³ – 5x² + 6x + 0.55 at x = 1.37, use 3 significant…

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Q: 11. Find the quadratic polynomial y = ar +br+c whose graph passes through the points (-2,-16),…

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Q: #41

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Q: 1. Determine the coordinates of the vertex of each of the following using the method given. a) f (x)…

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Q: 6 +Y - -5 -3 -6-5 -4 -3 -2 -1.0/1\2 FF 394 5 6 +2 +3 4. 2.

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Q: 8. The graph that could represent a fifth degree polynomial of the form y = ax+ bx + cx + dx² + ex +…

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Q: 4 A polynomial function of degree three is shown below. f(x) = 4x' + 8x – 11x + 3 Which of the…

A: I use long division method to factor this cubic polynomial

Q: Using the given data, we see the largest change in Y is between X = -8 and X = -7. Y X 19.1 0 19.1…

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Q: 2. Find a quadratic spline function having the nodes –1,0 and 1, and satisfying the table -1 |0|1 7…

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Q: 7. The following is a graph of a polynomial of degree 3, h. The leading coefficient of h is 1. 3 74…

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Q: 4 2- Consider the graph of the polynomial function shown. Whi of the following could be the -2 2 4…

A: Given query is to find the formula ifbthe function.

Q: Given the function P(n) = - 12(n – 2)°(n + 5)* (n – 3), its roots are and their multiplicities are…

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

A: Solution...

Q: In Horner's method suppose x0 is a root of p(x). show that the numbers bk(x0) produced by…

A: a. Let the polynomial be  Px=∑k=0nakxn-k                   (i) Given that x=x0 be a root of the…

Q: 6. Show that the given values of c are zeros of P(x), and find the remaining zeros of the function.…

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Q: 4. Find the remainder of f (x) = (1 + x)3/² of degree 3.

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Q: 2. Find the Wronskian of: a. -2x³ + 12 2x³ + 12 b. C. 0 d. Undefined f₁=x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: 1)Find the fourth degree Maclaurin polynomial for the function. f (x) = e3z

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Q: 1. If P2(x) is the second degree polynomial that interpolates to f(x) = 1+x 0,0.1, 0.2, find a…

A: To find- If P2x is the second degree polynomial that interpolates to fx = 61 + x at x = 0, 0.1, 0.2,…

Q: h(x)=-5-5x.

A: Given polynomial is                               h(x) = -5 - 5x

Q: 30 The partial graph of P(x) is shown to the right. If the polynomial function 20- is written in the…

A: The given graph of the polynomial function is

Q: 18. Find the equation of the polynomial, f), with the folle properties. * Derree is 5 • Zero at x =…

A: We have to find polynomial

Q: 2. The value of f(x) dx = ..., for each Chebyshev polynomial T₁ (x), n ≥ 0. √1-x² c) 0 d) None of…

A: The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions,…

Q: -4 -11 25 16. Without formally showing that there is a nontrivial linear combination of x-2x, x++x³…

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Q: 9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c.…

A: Topic - functions Point at which graph cuts the x axis is zero of the polynomial or f(x)=0 at that…

Q: 8. In Newton-cotes formula, if f(x) is interpolated at equally spaced nodes by a polynomial of…

A: To find- In Newton-Cotes formula, if fx is interpolated at equally spaced nodes by a polynomial of…

Q: 17. Find the solution to the interpolation problem of finding a polynomial q (x) with deg(q) < 2 and…

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Q: 2. Find a quadratic spline function having the nodes -1,0 and 1, and satisfying the table -1 0|1 5…

A: This question is about application of numerical method to obtain quadratic spline

Q: C. Use the Golden Section method to solve the minimum of f(x) = In(x²) + In (x³) + In(x*) using an…

A: Given f(x)=ln(x2)+ln(x3)+ln(x4) xi=0.2xu=4

Q: 1. Find the polynomial of degree three for the following data. Also find P(-2). 1 4 6 1 -1 у 1 y -1

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Q: A cubic polynomial, given by f(r) = a + 2r – 57 – 6, has two of its factors as r+1 and r+3.

A: Topic:- polynomial and inequality

Q: Find the critical points and the local extreme values of t polynomial P(x) = x* – 8x3+ 22x² – 24x +…

A: We will find the critical points.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the Chain Rule, Product Rule and Quotient Rule to check the claim.