What is the formula for w(x), the node polynomial?

Q: What type of polynomial satisfies f"(x)=0 for all x?

A: Topic-polynomial

Q: Given U = VXY; and Px=10 , Py-20, income=100; what is the value of MRSxy at the optimization point?…

A:

Q: how to identify the new quadratic function/s?

A: Using definition of quadratic function.

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: When a polynomial function f is divided by x - c, theremainder is_______

A: Give a polynomial function f is divided by x - c

Q: Suppose that f(æ, y) = e-3x² – 4y? + y Then the maximum is

A:

Q: Find the equation of the quadratic function f that has its vertex at (3, 5) and contains the point…

A: Given: vertex at 3,5 and it contain the point 2,3

Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Find the maximum and minimum value of x² + y3 – 3axy

A: *to find:- maximum & minimum value of z = f(x,y).

Q: What is a polynomialfunction in degree 1

A:

Q: What is the lower bound of the polynomial function? f(z) = 1 - 4z - 9z2 +z – 16

A:

Q: Is y = |x| a polynomial function? What about y = |x2 + 1|?

A: Given, y=x Since the Modulus function is not a polynomial function, therefore y=x is not a…

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: Which polynomial function would have the end behaviour of as x →to, y →o?

A:

Q: The degree of f(x) is v and the leading coefficient is There are| distinct real zeros and relative…

A:

Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: We have to find the quartic equation represented by the given graph.

Q: What is a polynomial in x?

A: The x happening in a polynomial is generally referred to as a variable or an indeterminate. When the…

Q: Explain the formula for the Hermite interpolating polynomial?

A: In any polynomial function if the values for the function is known for some data points and the…

Q: by graphing the standard quadratic function f(x)=x². Then use transformations of this graph to graph…

A: Please refer to the image below

Q: Using the quadratic approximating polynomial to estimate, is approximately 0.98

A:

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: Find a formula for the quadratic function whose graph has its vertex at (−3,2) and its y-intercept…

A:

Q: . Find the asymptotic behavior of the polynomial f(x) = -x² + 4x® + 2x5 12x – 10 (i.e. determine the…

A: Find the degree and the leading coefficient for the given polynomial.

Q: The critical point for the function ƒ(x)= x² – 3x is

A:

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³-3x +1 Using a spreadsheet,…

A:

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

A: Given:   Now, we need to find the value of x such that P(x) is the maximum. For simplicity, we plot…

Q: Evalute the polynomial at x= -2    5x^4-3x^2 - x + 1 + 5x^3

A:

Q: What is the maximum number of relative extrema for a polynomial of degree =n?

A: Polynomial of degree n.

Q: Given the function f(x) = ;x – x², then what is f(x - 2) as a simplified | | polynomial?

A: Given polynomial f(x)=52x-x2.

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

A:

Q: Suppose​ f(x) is a quadratic function such that its vertex lies on the​ x-axis. How many distinct…

A:

Q: Are u able to do polynomial fitting without any mathematical tool? Why?

A: Polynomial fitting manually: a: Polynomial coefficient k: degree of polynomial N: no. of points to…

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

A: Explain why a polynomial function of degree 20 cannot cross the x-axis exactly once?

Q: How many turns would be there in the polynomial function of degree 3?

A: Concept: Various graph of diffrent polynomials is explained below:

Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f (x) = x³ – 3x + 1 Using a…

A: Roots of the equation

Q: Find the point on the graphf(x)=4-x^2 that is closest to the point (0,1)

A: To find the point on the graph f(x)=4-x2 that is closest to the point (0,1)

Q: Using the nodes (xo=2, x;=2.5 and x; =4), to find the second interpolation polynomial for f(x) =

A: According to the given information, it is required to find the second interpolation polynomial for…

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: DETERMINE THE ROOTS OF THE EQUATION USING: REGULA FALSI METHOD f(x) = x³ – 3x + 1 Using a…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: The polynomial f(x)=x3+x2+1 has a linear factor in Z3[x]. true or false?

A: Solve the following

Q: Use Horner's method to find po32, f(x) = x°-2x²-5

A: Explanation of the solution is given below...

Q: Determine the first root of: f (x) = –13 – 20x + 19x2 – 3x³ using graphical method

A:

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: use the result to derive the quadratic splines and estimate the value at x = 5.0

A: The data given is as follows: i xi fxi 1 3 2.5 2 4.5 1 3 7 2.5 4 9 0.5 Three quadratic…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.