Show that if parabolic run-out conditions are used for cubic spline interpolation, then the interpolating polynomials in the first and last intervals are indeed parabolas

Q: What is an equation for a polynomial that includes  -degree 3 -zero of multiplicity 1 at x=2…

A: To find the equation for a polynomial that includes  degree 3 zero of multiplicity 1 at x=2    zero…

Q: Graph the given polynomial function. Be sure to show all of your work, test the intervals on a…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A third degree polynomial passes through the points (0,9), (1.14), (2,17), (3,24), (4,41), (5,74)…

A: The value of X1=∆y3=y4-y3=24-17⇒X1=7and value of ∆2y2=X2=∆y3-∆y2=7-3=4⇒X2=4

Q: Determine equation of the polynomial function in factored form and IN THREE POSSIBLE WAYS if “A…

A: Given Information:The quartic function with real zeroes only at  and a point  on its graph.To…

Q: If a third degree polynomial has a lone x-intercept at x=a what does this imply about the linear and…

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Q: If a third degree polynomial has a lone x-intercept at x = a discuss what this implies about the…

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Q: 0 0 0

A: As we know when zero has even multiplicity then the graph bounces back by x axis and when zero has…

Q: Find a formula for the polynomial of least degree that is graphed below.

A: Given: To Find: The formula for the least degree of the above graph.

Q: please solve it and show yor work

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Q: Are u able to do polynomial fitting without any mathematical tool? Why?

A: Polynomial fitting manually: a: Polynomial coefficient k: degree of polynomial N: no. of points to…