Explain the other notation which is commonly used for ak in the Newton form of the interpolating polynomial?

Q: 20. x2 = 5x

A: Topic = Equations

Q: how do you determine coterminals?

A: They are obtained by adding and subtacting 360 degrees

Q: -3t 712e Sinzt 37-47=

A:

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with…

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has…

Q: y = exp( 2-x ) at x = [-1,2].

A: Given   y=e(2-x) , in the interval x=-1,2 So the value of y at x=-1,0,1,2 are…

Q: What is the value of f(2) for the polynomial x ^ 3 + 3x ^ 2 - x + 1 ? What does this mean about the…

A: Here, fx=x3+3x2-x+1

Q: What is the coefficient of the x term in Maclaurin polynomial for sin(2x)

A:

Q: What is the coefficient of xy³ when (2y-x)° is expanded by the binomial theorem?

A:

Q: A certain polynomial has a root with a multiplicity of 3. What does this tell you about the behavior…

A: Given: A certain polynomial has a root with a multiplicity of 3.

Q: Express the polynomial x3 + 2x+3 EZ-[x]as a product of irreducible polynomials of 75[x].

A:

Q: symmetri

A:

Q: Find the positive and negative coterminal for 16pi/5.

A: Need to find positive and negative coterminal for the given angle

Q: 14x'y What is the simplified form of 2

A: To write the simplified form of the given expression

Q: Find (3+2)^2 using identity.

A:

Q: Compate the Cantiderivative of fox) = x²+4 xナ4 %3D x³+ax

A:

Q: A polynomial of degree n is developed using the interpolation method which based on the n-1 number…

A: Note : As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Differentiate 2xー4x -

A:

Q: Find the first 3 Maclaurin polynomials?

A:

Q: Explain why 3-1 does not exist in Z24.

A: Proposition: If is element in a ring then cannot be both zero divisor and unit. Given:

Q: your work. 91² - r°, t+ 21°, 1 +t- 9r?

A: In this question, the coordinate vector of the polynomial is calculated with the help of the…

Q: Select the factors that multiply to create a polynomial with this description: (1) As x→-0, y→-∞ (2)…

A: Given x→-∞ and y→-∞ and x→∞ and y→∞ and x=4 is a root

Q: 27 comp 28. 8 comp 29. +9° +90 27 = x2-6x 28 = 3x2 - y 3-x2 - 13x + 9 Find mz8. What is the name of…

A: Complementary Angles:- Two angles are complementary if the sum of the measures of both the angles is…

Q: kx, V; = 1+ kt

A: There is an equation of flow velocity field given

Q: 10 6h = 2k + 9 3h + 4k = 12

A:

Q: Show that Rsta is Hausdorff.

A: Note that a topological space X,I is said to be Hausdorff if (and only if) for every distinct points…

Q: 5. y' = 2x?y – 4y %3D

A: 5 Given differential equation is y'=2x2y−4y......1. We have to find the solution of the given…

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

A:

Q: Define the Newton form of the interpolating polynomial?

A:

Q: Investigate the based on linearization 3 x = x₁ - x₁²³²+x₂z xr 394 - 292 6 Ac

A: This is a question of equilibrium and stability.

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: What is the difference between the minor of an element aij and the cofactor of the element?

A:

Q: How to get rid of a radical

A: A radical is a term with one by nth power of the variable. The radical sign is as shown on the white…

Q: Why ane absoluete value bars necelsary in the ancuees for some integrels, and not in others?…

A:

Q: 11. Summarize the Intermediate Value Theorem for Polynomials in your own words.

A:

Q: Find the interpolating polynomial of the following points or functions using Newton's interpolation…

A: Newton's divided differences interpolation

Q: What must be true of the discriminant a

A: Given, the general second-degree equation is…

Q: Show that if A? = I, then |A| = ±1

A:

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

A:

Q: find a quadratic polynomials whose zeores are  (i) 3,4 (ii) 2,1

A: So here we are going to use the formula for quadratic equation when zeroes are given. So I'm…

Q: Which type of polynomial satisfies f ,,, (x) = 0 for all x?

A: Let f(x) be a polynomial such that f'''(x)=0 for all x Integrating both sides ,we get Again…

Q: KX3D51

A:

Q: A Cubic polynomial is dlefined by the table 3. 10 tind the equation of the palyinmal Using Lagrange…

A:

Q: Simplify the following using power of product rule: (2a3

A:

Q: Find_ƒ¹(0.8) & ƒ¹¹ (0.8) using quadratic interpolation.

A:

Q: What is the coefficient of x'y' when (x – 2y)² is expanded using the - Binomial Theorem?

A:

Q: 3,80lVe this equadioR by USE GalSian eli minalion- X-34+ 42 =1 2W-2X +f-1 2W -X -27 + 47=0…

A: Given system of equations:x-3y+4z=12w-2x+y=-12w-x-2y+4z=0-6w+4x+3y-8z=1To find: values of w, x, y…

Q: Find дхду of z = In(x² – y)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Sibelle manually counts maclaurin polynomials to sqrt(1+x) of order 1, ... 4. How?

A: Given maclaurin polynomials = sqrt(1+x) We have to find maclaurin series of order 4 Here, n=4

Q: Find theindefinite inaegrel de 6X [362-25

A: Given integral, ∫dx6x36x2-25