Topic: interpolation and polynomial approximation             1 + 2x - x3 , on [ 0 , 1] f(x) = {               2 + a(x-1) + b(x-1)2 + c(x-1)3 , on [1,2] from the functions piecewise function given above, find the values of a,b,c that will make the f(x) a natural cubic spline on [ 0,2]

Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: The Range of the quadratic function f(x) = -x² + 15x + 45 is O (0,8] О -45, 8 O [-8, 0) O [45, 0) O…

A: By sketching the graph

Q: how do i find a high order polynomial equation that  passes through the points (190,145), (160,180),…

A: how do i find a high order polynomial equation that  passes through the points (190,145), (160,180),…

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 +…

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: FInd the complex zeros of the polynomial function Write f in factored form f(x)=x^4+x^3+7x^2+9x-18

A:

Q: What are the zeros of the polynomial function f(x) = æ4 – 3a – 202 + 6x? O (-2,0), (–/2,0), (2, 0),…

A: By using Horners method

Q: The Range of the quadratic function f(x) = -x² + 24x + 48 is, O [-48, 12]| о (), 12] O [48, 0) O…

A:

Q: How to find the cubic polynomial function that has zeros of x=2, x=3(+or -) i

A:

Q: 14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that…

A: A family of cubic polynomials has roots of -2, -3, and -5. To find the member of this family that…

Q: Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the…

A: To use Descartes's rule of signs to determine the possible number of positive real zeros and the…

Q: Create a polynomial function of the form: f(x) = a (bx + e)(cx +g}*(dx + h)°, with the following…

A:

Q: Graph the functions f(x)= -2x -1 and g(x)= -1/2(x-2)^3 - 5 by hand to determine graphically where…

A: First we have to graph both the functions using shifting, scaling and flipping.

Q: Determine the rule for a polynomial function with rational coefficients and least possible degree…

A:

Q: 4th degree polynomial function in factored form with its only zeros at (5, 0) and (-3, 0) and (-5,…

A:

Q: What are the zeros of polynomial function f(x) = x* – 102² + 16? O (V2, 0), (/8, 0) O (-8, 0), (-2,…

A:

Q: A rectangle in the coordinate plane has its base along the x-axis and two vertices on the parabola…

A:

Q: How can all real zeroes be found for g(t) = t^5 - 4t^3 + 4t?

A: