Given f(x)=x2-4x-5 defined for x>2. Find (f-1)'(0). Also, we know f(5)=0
Given f(x)=x2-4x-5 defined for x>2. Find (f-1)'(0). Also, we know f(5)=0
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...
Evaluate the piecewise-defined function for the given values. f(x) = 4x for x 20 - 4x for x < 0 Find f(1), f(2), f(-1), and f(-2). f(1) f(2) f(-1) = f(-2) =
5. Is f continuous at f(1)? (10 points) [-x2 +1, 4x, f(x) = -5, -1<x<0 0<x<1 x=1 1<x<3 3<x<5 - 4x + 8 1,
Suppose that the functions f and g are defined as follows. f(x)=-4x+5 g(x) = 2x+1 Find f-g and . Then, give their domains using interval notation. 0 0 (-8)(x) = 0 0 .6 (0,0) [0,0] Domain off-g: 0 OVO (0,0] [0,0) Ø 00 -00 ()(w) = 0 5 ? Domain of I bo
Determine if the following piecewise defined function is differentiable at x = 0. x20 f(x) = 4x-2, x2 + 4x-2, x<0 What is the right-hand derivative of the given function? f(0+h)-f(0) lim (Type an integer or a simplified fraction. I h h+0+
Given: f(x) = x3+ x2+4x find the following:a) Relative extrema b) Table of values c) x-intercepts (if any) d) y-intercept e) Domain f Range g) Interval(s) increasing h) Interval(s) decreasing i) Find All zero s ) Factor completely k) Graph
Find F(x) for the following function. f(x)=-4x+2 Then find F(5), f(0) and f(-7). f(x)=___ f(5)=___ f(0)=___ f(-7)=___ Question complete.
5. For the quadratic function f(x) = x2 – - ***2 – 4x + 1: a) write it in the form f(x) = a(x – h)2 + k b) identify the coordinates of the vertex c) state whether there is a maximum or minimum and identify where it occurs
1. Consider the function defined by (1 -2, 0 r< 1, f(x) 1 < |x2 (0. and f(r) f(x+ 4) (a) Sketch the graph of f(x) on the interval -6,61 (b) Find the Fourier seriess representation of f(x). You must show how to evaluate any integrals that are needed. 1. Consider the function defined by (1 -2, 0 r
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on the interval -6, 6] (b) Find the Fourier series representation of f(x). You must show how to evaluate any integrals that are needed 2. Consider the function 0 T/2, T/2, T/2 < T. f(x)= (a) Sketch the odd and even periodic extension of f(x) for -3r < x < 3m. (b) Find the Fourier cosine series...