i 1 2 0 |11 |12 13 | 14 | 3 4 5 7 8. 12 15 Xj 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 Yi 0.1 0.7 1.3 1.5 2.4 2.2 2.0 1.6 1.0 0.6 0.3 -0.2 -0.4 | -0.3 -1.0

Q: Find a polynomial y = p(x) of degree 4 that goes through the points (0, 4), (1, 2), (2, -4), (3,…

A: solution of the given question is like this:

Q: Consider the data (1,10), (3,6)(1,10), (3,6). Then, Newton's polynomial that interpolates the data…

A: Solution of given problem is followed by Newton's interpolation formula.

Q: ind a polynomial p(x) with zeros as -2,-3,1,3 ?

A: To find a polynomial p(x) with zeros as -2,-3,1,3

Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

A:

Q: A 2nd degree palynomial passes through the points (1,-1); (2,-2); (3,-1) and (4,2) Find the…

A:

Q: Consider the function f(x) = x2 + 3x - 4. (a) Factor this polynomial and also complete the square.…

A: As per norms, the first three questions are answered. the question concerns the quadratic function…

Q: Find all zeros of the polynomial function f(x) = (x - 2)2(x + 1)3.Then graph the function.

A: Given: fx=x-22x+13 for finding zeros of given polynomial, we equate it with zero

Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

A:

Q: Identify Polynomial Functions and Their Degree

A: Consider the given information as Identify Polynomial Functions and Their Degree

Q: Find a polynomial whose graph fits the following points: (-2,-13), (0,1), (2,3), (4,5)

A: Given the points are,                    -2, -13, 0, 1, 2, 3, 4, 5.

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: Find y(5) if a second-degree polynomial is fitted to the data points (1, 4), (2, 6), (3, 9), (4,…

A: The given problem is to find the second degree polynomial and find the value of polynomial at x=5…

Q: A polynomial which goes through the point (1,4) and has zeros at x=0,x=3 and x=-2

A: Given:A polynomial pass through the point (1,4) and has zeroes at x=0, x=3 and x=-2.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.