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Question 16 Given the following function, calculate f(9). xx<-8 -2 X=-8 6x X-8 a) 54 b)...
Given the function: 6x - 1 2 < 0 63 - f(x) = 62 – 2 x > 0 Calculate the following values: f( - 1) = |-7 f(0) = f(2)
Given f(x) = x2 - 6x +5, x<3 Graph f(x) and f-?(x) to show that they are inverses of one another.
Question The function f(x) = -9 x - 8+5 8 has an inverse f-'(x) defined on the domain x < 5. Find the inverse. Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT Content attribution
Given the piecewise-defined function below, what is f(1)? fly 19-x² for x<3 1 x+3 for x 23 7 A. B. C. D. 4 8
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
Determine the values of the constants B and C so that the function given below is differentiable. f(x) = ſ 9 x x < 1 VIA BEC a) O {B = 27, C = 54} b) O {B = 27, C = 63} c) O {B = 27, C = -18} d) {B = -54, C = -18} e) {B = -27, C = 36}
Q1 Given, f(x) = {, 4,05x<2 6x + 1, 2 <x< 4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (c) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) [Total: 20 marks]
Question 9 2 pts You are given lim f(x) = L and a tolerance ε. Find a number 8 such that (x)-1|< < whenever 0 <br-al<o x-a lim 8x = 32; a = 0.01 X-4 O 0.04 0.01 O 0.00125 O 0.08
f(x)=\x(-2<x<2), p = 4 for the given periodic function, what the Fourier series of f? a. an= 8 -cos(nm) 22 n' bn=0 Ob. 4 an = -COS(nn) n?? 4 bn= n2012 C. an 4 cos(nn) n272 bn=0 O d. an 4 22 [(-1)" – 1] bn=0 e. an= 4. -sin(n) n' 2 bn=0
1. The density function of b is given by kx(1 - x) f(x) = { for 0 < x 51, elsewhere. (a) Find k and graph the density function. (b) Find P(1/4 < ſ < 1/2). (c) Find P(-1/2 sã < 1/4). (d) Find the CDF and graph it. (e) Find E( ), E(52), and V(5). 1. The density function of ğ is given by |kx(1 – x) o for 0 < x 51, elsewhere. f(x (a) Find k and...