Q3. Using interpolation, approximate the following function by a polynomial of degree at most 3 using node points x; = i, i = -1,0, 1,2 : f (x) = 3x2 – e* -

Q: how did you determine your t values for the piecewise function?

A: Given that yc=0t≤0ce-1tt>0 Here "y" is a Piecewise function.

Q: Find a formula for the exponentail function passing through the points (-2,40) and (1,5)

A: The general equation for an exponential equation is  y = a(b)x

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: f(x)%3DX²-2x+5

A:

Q: Determine the end behavior of the following function as x → +∞: 4x4 + 8x – 1 s(x) = -9x4 – 7x2 7x…

A: Topic- Function

Q: The value of shares (V) after (t) days is given by the relation V = 3t + 10\t + 167. After how many…

A: V=3t+10t+167 where V denotes the value of shares To find : t when V=500

Q: the height ( in feet) attained by a rocket t sec into flight is given by the function…

A:

Q: coming year. Total profit from planting xj acres at farm j is expressed by the function P(x,, X2,…

A: profit = 235x1 + 540x2 + 252x3 - 525000 we are given that x1 = 300 x2 = 600 x3 = 450

Q: Indicate with true (T) or false (F) whether the following functions are polynomials. f(x) = x+ 2.…

A:

Q: 17,800x+20,000 1. The function T(x) = Celsius) of an ocean between 40°N and 40'S where is the depth…

A: Given a function T(x)=17800x+200003x2+740x+1000 which gives the mean temperature T (in degrees…

Q: Me number of mosquitoes in a field after a major rainfall is modeled by the function M defined by…

A: Here we given a function M described here models the quantity of mosquitoes in a field following a…

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: a.) What is the domain of the function y =√x-4? b.) If f(x) = x^2 - 3x, find f(-1.8).

A:

Q: Plot the functions x, x2, exp(-x), exp(-x2) on a single graph for x between 0 and 5. Repeat the…

A:

Q: What is the formula for w(x), the node polynomial?

A: Node Polynomial: Let f (X) be a function on the interval [a, b] and n nodes are chosen on the…

Q: Use the numbers x0=1, X2=1.5, and X2=2 to find the second lag-range polynomial to F(x)=1/x+1 Then,…

A: (.) Given,  and  (.) Lagrange polynomial for the function  with  data points  is given by,

Q: Determine what x = 5 is (max/min/neither) of the function f (x) = 2x2 − 3x + 9

A: Given f (x) = 2x2 − 3x + 9