Suppose f(x) is a polynomial of degree 72. Can f(n)(0)=1 for all n>1. If it can give an example of such a function and explain why it works. If it cannot explain why.

Q: Show that f(x) = 2/x2 + 3x4 – 5x6 is an even function

A:

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: F(x)= G(x)= (Fog)(x)= (Gof)(x)=

A: Since the rule of function f is "add one", therefore fx=x+1 Since the rule of function g is…

Q: Find the formula of f(x), a polynomial function of a last degree

A: To find the polynomial f(x) whose graph is given

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

A: Given that the rule of function f is "add one" and rule of function g is "multiply by 8".

Q: Show that f 1 (3) does not exist.

A: Given : To show f'(3) doesnot exists

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Suppose 30 flour beetles are left undisturbed in a warehouse bin.  The beetle population doubles…

A: 56 days= 8weeks

Q: what should n be if f(x) = Xn defineof a polynomial function?

A:

Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: f(x) = x+1 x-3

A: Given:  fx=x+1x-3To prove: f(x) is 1-1 we know that, If f(x1) = f(x2) then x1 = x2 therefore f(x) is…

Q: 每=(x)8:57 -* - (x) = S

A:

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: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4."…

A:

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 4."…

A: