Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by the power series f(x) 55x +3x2 + 3x3+... and g(x-643x + 4x2 + 3x3 + By multiplying power series, find the first few terms of the series for the product h(x) -f(x) .gx)cccx2 +c3 со 30 c115 C212x C39 Note: You can earn partial credit on this problem. Previous Problem Problem List Next Problem (1 point) Suppose that f(x) and g(x) are given by...
Chapter 3, Section 3.1, Question 040 Let f(x) = x3 - 4x2 + 4x – 19 Find the following values. f(0) = f'(1) = f'(-1) =
5. A function f has Taylor series (at 0) f(x)=0+2x+ 4x2/2! + 3x3/3!+... Assume f−1 exists. Find as much of the Taylor series of f−1 (at 0) as you can. (Since you only know the first few terms of the Taylor series for f, you can only figure out f−1. (Hint: There are two ways of doing this problem. One is get the derivatives of f−1 from knowing the derivatives of f; we talked about the first derivative in January...
20+21 20. 1 points StitzPreCalc3 1.4.022e Let f(x) 4x2+ 4x 3. Find and simplify the following. f(a + 3) f(a + 3) Additional Materials Reading 21. points StitzPreCalc3 14.022. Let f(x) = 3x2 + 3x-4. Find and simplify the following. fa) + f(2) f(a) + f( 2) = Additional Materials LReacing
The slope S'(x) at each point (x, y) on a curve y = S(x) is given along with a particular point (a, b) on the curve. Use this information to find S (x). 2) f'(x) - 9x2 + 8x + 4; (0, 3) 2) A) (x) 2x+ B) f(x) = 3x3 + 4x2 + 4x - 3 of(x) = 9x3 + 8x2 + 4x + 3 D)/(x) = 3x + 4x2 + 4x + 3
Problem 1: Given the following function - 4x 4.x2 + 4y2 + 4y +1 1- 4x2 – 4x2 + 4y2 + 4y +1 (a) Show that f is analytic (on its domain of definition); (b) Find a formula for f in terms of variable z (c) Find f'(z).
Given f(x)=x2-4x-5 defined for x>2. Find (f-1)'(0). Also, we know f(5)=0
Find the average rate of change of f from 5 to 6. F (x) =-4x^2+4x Find the average rate of change of f from 5 to 6. f(x) =-4x2 + 4x The average rate of change is (Type an integer
6. Find y = f(x), if f '(x) = 4x +3, f(1)=5, f(0= -6
Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f extension on Find fep, the Fourier series expansion of fe плг пте ao + 2 bsin fer (x) а, COs n-1 that is, find the coefficients ao an, and bn With n> 1 ao ат W |1 l Given the function f(x) = 4x +5 defined on the interval (0, 3, denote by fe the even 3,3 of f...