Find the first piece S1 (x) of a natural cubic spline that interpolates the set of points (0,1), (1,4), (2,3). x³ – 2x² + 4x +1 O x3 – 2x + 1 O-x³ + 4x +1 ,3 -x3 + 2x2 – 4x + 1

Q: 5. x₁ + x₂ -3x1 3 +2x30 X₂ - 2x3 = 2

A: According to Bartley guidelines, these are separate questions. Please ask second question…

Q: Which function represents a transformation of the parent quadratic function and 2 units down? a. fx)…

A: Here we have to transform the parent qau8dratic function 6 units to the left and 2 units down.

Q: Find an integer coefficient cubic that has x = 1 and x = 2+ /3 as zeros.

A: Given: The two zeros of a cubic polynomial are x=1 and x=2+3.

Q: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

Q: Find the quadratic y=ax2+bx+c that best fits the data points (−2,−37),(−1,63),(0,−43),(1,−5),(2,2) .…

A: To find the quadratic equation that best fits the given data points, we need to solve for the…

Q: Formulate that the Lagrange interpolation polynomial that passes through points (0, 3), (1,4) and…

A: To show that the Lagrange interpolation polynomial that passes through points (0,-3),(1,4),(2,15) is…

Q: actor each polynomial. 1. x2 2-14x + 49 2. x2 +2x + 1 3. x2 +7x + 14 (x-1) x2+ 18x + 81 5. y2-20y+…

A: Consider the polynomial x2 + 7x + 14 The above polynomial could not factor further since it has no…

Q: m) x -8x Quadratics of the Form ax? + bx + Decomposition or 12x-5x-2=12x-8x +3x-2 = 4x(3x-2)+1(3x-2)…

A: Given that  To solve the equations into quadratic form

Q: Determine the linear interpolating polynomial that passes through the points (2,4) and (5,1). p(x) =…

A:

Q: Find the unique quadratic polynomial y = ax² +bx+c that passes through the three points (1, 1),…

A: What is Polynomial: A polynomial is a real valued function. It is an algebraic function that is…

Q: Let u = 3 II x₂ that satisfy the equation X2 -4 CHE 3 || -5 -3 (Simplify your answers.) and w= -4 -5…

A:

Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

A:

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + e…

A: Given quadratic function in a standard form is y=ax2+bx+c wherein coefficients a, b and c are…

Q: The quadratic form X1 e x2 = x} – 2x1X2 + x} + x} %3D - X3 on 3 is Positive definite Positive…

A: The solution is given as

Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

Q: Which of the given quadratic forms in three variables are equivalent?

A: Four quadratic forms in three variables are given. Find out which of the given quadratic forms in…

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: Find the unique quadratic polynomial y = ax² +bx+c that passes through the three points (1, 1),…

A:

Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

A:

Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check

Q: The maximum value of the quadratic form 4x2 – 8xy + 5y² is Select one: 9+65 2 9-V65 2 9 + V65 9+V185…

A: The given expression is u =4x2-8xy+5y2 calculate partial derivatives ∂u∂x=8x-8y=0⇒x=y…