Consider the function f(0) = 2x3 + 6x² – 144x +1 with -6<< < 5 This function has an absolute minimum at the point and an absolute maximum at the point Note: both parts of this answer should be entered as an ordered pair, including the parentheses, such as (5, 11). į < x < 5. Consider the function f(1) = 1 – 2 In(x), The absolute maximum value is and this occurs at x equals The absolute minimum value...
(1 point) Let f(x) = 0 if x < -4 5 if – 4 < x < 0 -3 if 0 < x < 3 0 if x 2 3 and g(x) = Los f(t)dt Determine the value of each of the following: (a) g(-8) = 0 (b) g(-3) = 5 (c) g(1) = (d) g(4) = (e) The absolute maximum of g(x) occurs when x = 0 and is the value It may be helpful to make a graph...
5. Let be the function defined by f(x) = -1 3 1.5 if r <0 if 0<x<2 if 3 < r <5 Find the Lebesgue integral of f over (-10,10).
5 Let O be an angle such that sin 0 and tan 0 <0. 8 Find the exact values of cot and sec O. cot $ ? secô = ]
let f:[-pi,pi] -> R be definded by the function f(x) { -2 if -pi<x<0 2 if 0<x<pi a) find the fourier series of f and describe its convergence to f b) explain why you can integrate the fourier series of f term by term to obtain a series representation of F(x) =|2x| for x in [-pi,pi] and give the series representation DO - - - 1. Let f: [-T, 1] + R be defined by the function S-2 if-A53 <0...
(1 point) Consider the function f(x) = xe-5x, 0<x< 2. This function has an absolute minimum value equal to: which is attained at x = and an absolute maximum value equal to: 1/(5e) which is attained at x =
5. Find the absolute maximum and absolute minimum values of the function f(x) = x.elfm) on the interval --2 < < 2. J 17 J 3.1.
Let f(x,y) = cx( 1-y), 0 < x < 2y < 1, zero elsewhere. a) Find c. b) Are X and Y independent? Why or why not? c) Find PX +Y05)
Let f(x) = { 80 -5 if < 10 - 7+ + b if : > 10 If f(x) is a function which is continuous everywhere, then we must have b = Let f(x) = 82 - 5 if x < 10 1 - 7x +b if x > 10 If f(x) is a function which is continuous everywhere, then we must have b= -6 2-5 - 2x + b if - 1 Let f(x) if 2 - 1 There...
Question 1 (20pts]: Let x(0) = 1-1.2 st <3 Question 1 120ntsl: Let (t) 1,0 Stsi her be a periodic signal with fundamental period 3. Calculate the Fourier Series coefficients of X(t), ax, by hand. Simplify your result as much as you can.