Express the area of the plane figure shown as a polynomial in standard form. х — 1 x + 3

Q: Express your answer as a polynomial in standard form f (x) = 3x? 4х -1 %3D g(x) = -2x + 5 Find:…

A: The given function are, fx=3x2-4x-1 and gx=-2x+5

Q: Write the Lagrange polynomial for the data X;0 2/3 | 1 Yi 1 0.5 | 0

A: Consider the data

Q: Consider the polynomial p(z) = z 101 + 7· z² + 3 · i · z – 1. Using Rouche's Theorem, determine how…

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Q: t if the complex number z is a root of the polynomial f(

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Q: (h) Write down the Lagrange's polynomial through (x0, fo), (x1, f1), (x2, f2). Hence express

A: h.  we have given the set of tabular values (x0,f0),(x1,f1),(x2,f2)we know that the lagrange's…

Q: Find two positive real numbers x and y such that their product is 800 and x + 2y is as small as…

A: Given that, We have to minimize:

Q: Express the area of the plane figure shown as a polynomial in standard form.

A: From the given figure we get two rectangles One with length =x , width=3. So area= 3x And other…

Q: Represent the volume of the attached pic. of figure as a polynomial in standard form?

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Q: Evaluate the quadratic form f(x) = xT Ax for the given A and x.

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Q: find the real roots of f(x)=2x^3 - 11x^2 + 2x + 15 and use them to show f(x) in factored form.

A: Roots of f(x) is given below...

Q: Construct the lagsange, intexpo polynomial AL for the function y=Sin faking the points ス=0 ズ(=ー スー4

A: The given function is, y=sinπx For the given points the functions values are,when x0=1 then…

Q: Find the cubic polynomial function p(x) = a + bx + cx? + dx3 such that p(1) = 5, p'(1) = 8, p(-1) =…

A: Given, px=a+bx+cx2+dx3p1=5, p'1=8, p-1=-3, p'-1=12

Q: Write the polynomial 6x2 + 5x +7 as alinear combination of Legendre polynomials and use it to…

A: I will use the orthogonality of legendre polynomials.

Q: F. Find the four roots of the polynomial z* + 16 and use these to factor z* + 16 into two quadratic…

A: We need to find the root of z4+16=0 Consider: z4+16=0⇒z4=-16⇒z22=-16⇒t2=-16…

Q: Find all roots of each of the following quartic polynomials: (a) z+ V10z + using factorization into…

A: The roots of a function are the points at which the value of the function is 0. The factorization of…

Q: Use the given imaginary ZERO of the polynomial function to find the remaining ZEROS. f(z) = r – 10z³…

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Q: Show that the cubic polynomial p(x)=ax^3+bx^2+cs+d has exactly one point of inflection (x0,y0),…

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Q: Which of the following quadratic polynomials are irreducible? To check, complete the square if…

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Q: Find a quadratic function F(x) that takes its largest value of 300 at x = 2, and express it in…

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Q: Represent the volume of the attached pic. of figure as a polynomial in standard form?

A: To determine the volume of the attached pic , divide the  cuboid in two rectangular cube and…

Q: Use the Bisection Method to locate a solution of x² – 7 = 0 to two decimal places.

A: Let the function be f(x)=x2-7, substitute 2 for x in f(x)=x2-7 and obtain the value then substitute…

Q: Find the roots of the polynomial: f (x) = a – a? +.1

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Q: Find all zeros of f(x) = x– 3x2 + x – 3. Enter the zeros separated by commas.

A: We have f(x)=x³-3x²+x-3 i.e, f(x)=x²(x-3)+(x-3) i.e, f(x)=(x²+1)(x-3) i.e,f(x)=(x-i)(x+i)(x-3)…

Q: The coefficient of the r term in the Maclaurin polynomial for sin(2x) is (A) 0 (B) 0.0083333 (C)…

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Q: Evaluate the quadratic form f(x) = xT Ax for the given A and x.

A: We need to  Evaluate the quadratic form f(x) = xT Ax

Q: Find the cubic polynomial function p(x) = a + bx + cx² + dx³ such that p(1) = 5, p'(1) = 8, p(-1) =…

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Q: Find all zeros of the function f(x)=6x^3−17x^2−48x+80. Enter the zeros separated by commas.

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Q: The volume V(x) and height, h, of the triangular prism are given. Find a polynomial expression for…

A: Given: Height function of triangular prism, hx=x-6 Volume function of triangular prism,…

Q: Q) Use the Lagrange interpolating polynomial of degree two to approximate f (0.43) if f (0)=1 f…

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Q: A farmer’s rectangular field has an area that can be expressed as thetrinomial x2 + 2x + 1. In terms…

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Q: f (x) = 3x³ + 2a²? + 2x2 +1 (-1,2.5)using 1. B.M.

A: F(x)= 3x3+2x2+1(-1,2.5) using b.m..

Q: Find the fourth order Teeylor Polynomial for A Ca)= xe ?" el bock about

A: Given: The function is fx=xe-2x  To find: The forth order Taylor polynomial.

Q: Find all zeros, real and non-real, of f(x) = = x° + 11x² + 44x + 34. Enter the zeros separated by…

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Q: Find the cubic polynomial function p(x) = a + bx + cx² + dx³ such that p(1) 1,p'(1) = 5, p(-1) = 3,…

A: Given: px=a+bx+cx2+dx3 such thatp1=1, p'1=5p-1=3, p'-1=1 To Find: Cubic Polynomial

Q: Represent the volume of the figure as a polynomial in standard form.

A: At first we will calculate volume of full part including with cutting part and then subtract volume…

Q: Find all zeros of f(x) = x – 2x2 + x 2. Enter the zeros separated by commas.

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Q: Find all complex zeros of the polynomial function, and write the polynomial in completely factored…

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Q: Find all zeros of f(x) = a + 4x² + x + 4. Enter the zeros separated by commas.

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Q: Find a polynomial of the form f(x) = ax + bæ? + cx + d such that f(0) = 6, ƒ(2) = 6, ƒ(-3) = 7, and…

A: We need to find the unknown values a, b, c, d for which first we need to find the linear system and…

Q: Find all zeros of f(x) = x³ – x² + 8x + 60. Enter the zeros separated by commas.

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Q: Ha)%3DSinx,aD 4 Look for Taylor polynomial of orders 01a and 3.

A: Given fx=sinx, a=3π4 Then, fx sinx f3π4=sin3π4=12 f'x cosx f'3π4=cos3π4=-12 f''x -sinx…

Q: 2. Let p(x) be the cubic polynomial which satisfies p(-1) = p(0) = 1, p(1) = p(2) = 4. %3D Find the…

A: Assume p(x)=ax3+bx2+cx+d

Q: Use the given zero to write P(x) as a product of linear and irreducible quadratic factors. P(x) =x…

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Q: Give a formula for the polynomial of least degree pictured here. f(z) =

A: The objective of the question is determine the equation of the given graph (cruve).

Q: Use the Lagrange interpolation formula to find the polynomial of degree at most 2 that passes…

A: i) The given points satisfying the polynomial equation are, x0,y0=1,6x1,y1=2,-1x2,y2=3,-2 Consider…

Q: Jsing MOSA find the polynomials that will approximate the solution to: y' = x2 + y; y(1)=1.

A: Y(1)=1 Solution provided

Q: Find the Lagrange's interpolating polynomial from the following set of points and solve for P(4). 2…

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Q: Find the area of the square generated by connecting consecutive roots of the polynomial p(z) = z^4…

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Q: Consider the following quadratic form on R²: Q(x) = ²x₂²¹ +27x₂² +48x2x2 43 2 57 -x1 25 25 25 a)…

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