3. Plot the function x+1 f(r) = 1+ 12r² * in the interval -1 SIS 1. Then fit a line (o = co + Cir) to it in the mentioned interval and show the line in your plot. Comment what happens if you try to fit a second degree polynomial (ó = co+cr+c2x*) to it based on what we have discussed in the class, i.e. instead of base functions 1, r, and r what would you choose.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on 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: Find bn if the function f(x)=x^2.

A: bn-fx=x2 Fourier series of                     fx=x2   is                     fx=902+∑n=1∞an…

Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: Given f(x) = 7x and g(x) = 7x^2+9a. (f of g)(4) b. (g of f)(2) c. (f of f)(1) d. ( g of g)(0)

A: To evaluate the composite functions at given points

Q: calculate the value of f(-3) for the function f(x)= -4x^2 b) How many roots does the function f(x) =…

A:

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

A:

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

A:

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: Find the inflection points for the function f(x) = 2x6 + 3x5 – 10x*. -

A: Note :- Inflexian points of a function can be calculate by putting f"(x) =0 and solve for x.  We get…

Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

A:

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: write a formula for a function h(x), whose graph is identical to the graph of y=x^3 except that the…

A: the given function has to be written as ratio of two polynomials  h(x)=f(x)g(x) the graph has hole…

Q: Suppose we have two functions f and g defined by f(x) = 2x + 3 and g(x) = x^2 - 3x + 2. Find…

A:

Q: Is f(x)=x^5 a power of function, a polynomial function, or neither? How do you arrive at this…

A: Given, Is f(x)=x^5 a power of function, a polynomial function, or neither? How do you arrive at…

Q: Suppose thatf(x) = (x+ 5)^3(x-2)^4. Find the x-coordinates of all points of inflection

A: To find- x-coordinates  of all points of inflection.

Q: Find f(3-2i) when f(t)=t^2 -3t -5 write the result in the form a+bi

A: Explanation of the solution is given below...

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: Find p(- 2) and p(3) for function p(x) = x ^ 3 - x ^ 5

A: We have given function as  p(x)=x3-x5   We have to find p(-2) And p(3)