Given the function C(x) = (x – 3)( – 9x + 5)*(x – 7)°, its roots are and their multiplicities are

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree polynomial for f(x) = using Lagrange Interpolation is

A:

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A: Given that the polynomial P (x) of degree 33, with x= 3 and x=-4 are root of multiplicity 22 and 11…

Q: Find the formula for a cubic polynomial, ax³ + bx² + cx + d, with a critical point at x = 2, an…

A: Use double derivative concept

Q: (c) x + 4x + 2x + 3x -x+5 (4) x + Sx + 4x + 7 19. Write euch polynomial as a product of irreducible…

A:

Q: For the cubic polynomial function f(x) = ax' + bx + cx + d, find a, b, c, and d so that 0 is a…

A:

Q: 7. For the quadratic relation y = -3x² + 12x + 20, (a) Complete the square to express in vertex (b)…

A: We will find out the required value.

Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x…

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors…

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

A:

Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: Find a general solution of y"- 2iy'+3y= 0.

A:

Q: the coefficient on the leading term of p(x) positive, negative, or not enough infor- mation to know?…

A:

Q: Suppose that Yı x5 is a solution to x²y" – 10xy' + 30y 0. Use reduction of order to find another…

A:

Q: To solve for h, first divide both sides by 3x. 3x (x-2) h 3x-3x-33x² +54x 3x 3x (x – 2)h = x - x -…

A: Given: area of the rectangle =3x3+14x2-23x+6also given that width of the rectangle=x+6To obtain :…

Q: (1+ 2.x² þ" – 4.xy' + 4y=0 yı(x) = x

A:

Q: Find Maximam for Z= 2X+ X スx+ x 2 Subjects x+x 3) xi +4 Xq $ 24 - use Simplex Method ?

A: Linear equations are the equations with degree equal to 1. The linear system will have finite…

Q: Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com.…

A:

Q: 1. Using the points xo = 1 , x1 = 1.6, and x2 = 2.5, find the Lagrange interpolating polynomial that…

A: We find the Lagrange interpreting polynomial using the given points and that fits the function 2/x2.

Q: Find a general solution to the DE (D^2 + D - 6) y = 5e^2t by using the Reduction of order

A:

Q: How does the linear factorization of f(x), that is, AX)=an (x-c1)(x-c2) (x-C). show that a…

A: Here the linear factorization of the function f(x) is given as:…

Q: Given the function f(n) = – 6(n – 5)°(n + 6)°(n – 7), its roots are and their multipicities are

A:

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A:

Q: Using the second degree Lagrange interpolating polynomial, P2(x), for the data 0 1 3 4 f(x;) 11 9 13…

A: Legranges interpolation formulae.

Q: Consider y' + 2xy = e* Now leverage the equation Σ e* = п! n=0 to approximate y(x) to a third-degree…

A:

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

A:

Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A:

Q: Given the function f (x) = Vx + 2 Are xo 3. 1, x1 = 3.4 and = x2 = 3.7. The interpolation polynomial…

A: We use Lagrange's interpolation

Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b)…

A:

Q: t is known that the polynomial p(x) = 2- (r+ 1) + x(x+ 1) – 2x(r + 1)(r – 1) interpolates the first…

A: Given:- p(x)=2-(x+1)+x(x+1)-2x(x+1)(x-)  interpolates the first four points of the table. x -1 0…

Q: Find the maximum of f (x) = 4x – 1.8x² + 1.2x3 – 0.3x* using Quadratic interpolation (xo = 1.75, x,…

A: We can solve this using quadratic interpolation formula

Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

A:

Q: Find the Third degree Taylar polynomial To (x) centered at a-1 for the function fCx) = ã…

A:

Q: Given that the interpolation error is E, (x – x1)(x – x2) ...· (x – xn). (n+1)! Why is the error…

A: We have the interpolation error is En=fn+1ξ(n+1)!x-x1x-x2...x-xn Now, the roots of the Chebyshev…

Q: For the cubic polynomial function ?(?)=??3+??2+??+?,f(x)=ax3+bx2+cx+d, find ?,a, ?,b, ?,c, and ?d so…

A:

Q: 1. State the degree, leading cocfficient, and end behaviours of cach polynomial function. a) f(x) =…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the vertical, horizontal, and oblique 3x + 20x + 14x - 65 asymptotes, if any, forf(x) = x* + 8x…

A:

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

A: Solution...

Q: 10) Use Lagrange coefficient polynomial L3,2(x) to find L3,2(5) using the nodes Xo = 3,x1 = 4, x2 =…

A:

Q: Given the function C(r) = (6r + 14)°(8r – 2), its zeros are and their multipicities are

A:

Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

A:

Q: if xo = 2, x1 = 3 and x2 = 4 the second degree %3| polynomial for f(x) = using Lagrange…

A: Given function is f(x)=12and the nodes are x0=2, x1=3 and x2=4. We have to find second degree…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=3x=3 and a root of…

A:

Q: If y=1 when x=0,y'=1,y"=2 and y=-2, using Taylor's Polynomial what is the best fit polynomila for…

A:

Q: Given the function g(x) – 5(x – 7)*(x + 1)°(x – 4), its roots are and their multipicities are

A:

Q: For the cubic polynomial function f(x) = ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution of given question is written in below steps.

Q: Function as, y (x) = (x² – 2) (3x + 2) %3D

A: Given,          yx=x2-23x+2

Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

Q: The polynomial of degree 33, P(x)P(x), has a root of multiplicity 22 at x=2x=2 and a root of…

A: To find the formula of polynomial. Given the roots of P(x) with the multiplicity of the roots and…