When using yi=f(xi) for i=0,1, ..., n to find the Lagrange interpolating polynomial ---p(x), p(xi) should be equal to (Mark 1) f(yi) O xi O O O O None of them O p(yi) O yi O

Q: Use algebraic manipulation to prove that (X +Y)(X + Y) = X

A: Given: X+YX+Y=X Now, first we shall simplify left hand side of equation.

Q: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

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Q: →0 (2a−3/2a+ 5)^(2a+1) should i use lhopital or direct substitute the value of

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Q: From the table find f(0) using interpolating of Lagrange polynomial X -1 0 2 Y=f(x) 2 5 1 O -1 O o O…

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Q: 1 >Use the following models to consider the function f(x)=; on the interval 1+x? [-5,5]. (1)…

A: The function given is as follows: fx=11+x2 (1) We are asked to find the interpolating polynomial of…

Q: Find a polynomial y = p(x) of degree 4 that goes through the points (0, 4), (1, 2), (2, -4), (3,…

A: solution of the given question is like this:

Q: I dont know what algberic moves to solve for the inverse of a polynomial function. f(x)=192t-16t^2…

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Q: USE +¹ (f(x)) =X a] if yinv b] the value of the value of d] f (3) if 3 = f¹ (2) 1 √x-7 to inv…

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Q: 1. The function f(z) factors to f() = (* + 2)(ar + bz + c). Find (a + 6+ c). S(z) = 3+3r-5x+2 (a) 5…

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Q: Find inverses if it exists how?

A: We need to find inverse function.

Q: let F(x)=f(f(x)) and G(x)=(F(x))^2  You also know that f(5)=10 , f(10)=3,  f prime of 10 = 4, f…

A: The objective of the question is to find the derivative of the functions F(x) and G(x) at x = 5. We…

Q: F(X) = 102₂ ; g(x) = x + 1

A: To find the domain of .

Q: 77. Show that if f is a quadratic polynomial, then the SDQ at x = a (for any h + 0) is equal to…

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Q: given that f(x) =x-1, and g(x) =2x2 -1, determine (g (dot product) f)(x)     i put "(dot…

A: The given function is: f(x)=x-1           and             g(x)=2x2-1

Q: 1. What degree are the following polynomials (3.a and 3.b) and monomials (3.c and 3.d)? (a) f(æ) =…

A: Note: According to bartleby we have to answer only first three subparts please upload the question…

Q: Assume all cells not shown begin blank. A downwards arrow indicates the contents from the cell above…

A: The table given is as follows: (a) We are asked to find a formula to generate numbers as given in…

Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: Suppose we want to form an interpolant at equally spaced points xo = 0, x1 = h, and x2 = 2h of the…

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Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: Which of the following is an even function O f(x)= 3x^2 + 5x^3 + 10x^6 O f(x) = -7x^8 - 3x^4 + 5 O…

A: We have to check the even functions from the given functions.

Q: Is Z²-1 2-√√2²+4 analytic in 12/2

A: Given:We have to find the following function is analytic or not. =Ƶ2-1Ƶ-Ƶ2+4

Q: What are the roots of the function f(x) = x³ + x² − 7x -3? O 3, 1+√2, 1-√2 O -3,-1+√2, 1-√2 O 1, 3,…

A: Solution :-

Q: Find the polynomial f(x) for which x· f(x – 1) = (x – 3) · f(x), Væ |

A: find the polynomial f(x) for which  x fx-1=x-3 fx ∀x for x=0 x fx-1=x-3 fx ∀x

Q: Consider the function f(x)=√x+5-9 for the domain [-5, ∞0). Find f¹(x), where f -1 is the inverse of…

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Q: Is - 3/2 in the domain of f for x ∈ [-4,1]?

A: We have to say that the given statement is true or not: Is -32 in the domain of f for x∈-4, 1? Here…

Q: 7/Evaluate y = (Sinx) at (x= x/5) by using polynomial interpolation from the following table, then…

A: Let us find the polynomial for f(x)