(1 point) Decide whether the following graph appears to be a periodic function. If so, enter...
(4 points) Consider the exponential equation y = e-*. (a) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation x = k or y = k for some number k, or, enter NONE if its graph does not have that type of asymptote. The graph has a vertical asymptote with equation help (equations) The graph has a horizontal asymptote with equation help (equations) (b) Determine whether its graph has an...
3.(2 points) Determine whether the given function is periodic. If so, find its funda- mental period. (a) f(x) = 24 (b) f(x) = sin(ſx) (c) f(x) = ln x + cos x (d) f(x) = cos(65 4.(3 points) Sketch the graph of the given function defined on an interval (-0, 0) if (a) f(x) = e" for x > 0 and f(x) is an even function. (b) f(x) = {x, 0 < x < 2 (b) [(*) = 10, x=2...
Determine whether or not the graph is that of a function. It is use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. 24 O A function domain x20 range: bly? - 2) intercepts: (-2,0), (0.2), (2.0) symmetryy-ands OB. function domain all real numbers range a real numbers intercepts: (-2,0), (0.2), (2.0) symmetry: none OC. function domain: 2 - 2 range: byly 20) intercepts:...
(1 point) Find the Laplace transform of the periodic function f(0) whose graph is given below. (Click on graph to enlarge) 4 help (formulas)
Calculus
Approximate the critical numbers of the function shown in the graph. Determine whether the function has a relative maximum, a relative minimum, an absolute maximum, an absolute minimum, or none of these at each critical number on the interval shown. (Enter your answers as a comma-separated list.) y 7! 61 5 4 3 2 -4 -3 -2 -1 1 2 3 4 Approximate the critical numbers. X List the critical numbers at which each phenomenon occurs. (If an answer...
0 3 and z s 6 We then extend it to an odd periodic function of period 12 and its graph is displayed below 2 y 1 -105 5 10 15 2 The function may be approximated by the Fourier series where L is the half-period of the function Use the fact that J(e) and fe)cL) are odd functions, enter the value of en in the box below f(z) cos an 0 for n 0,1,2,... Hence the Fourier series made...
Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does no 2. -4 2 4 6 (a) f(-2) (b) lim f(x) -2 (a) ro f(-2) (b) lim f(x) X→-2 (c) f(0) (d) lim f(x) X-0 f(2) lim f(x) x2 (9) f(4) (h) lim f(x)
1. Cousider the followving periodic function a) Determine whether the following function is odd, even or neither f(x) = sin 2x cos 3a. 2marks] Consider the following periodic function b) ㄫㄨ for -2 < x < 0 for 0< S 2 f(x) = { sin 0 f(x) = f(x + 4). i. Sketch the graph of the function over the interval-6< r <6. 2marks] Find the Fourier Series of f(x). (6marks ii.
2, For the following periodic series, f(t) = t^2, ( -1<t<1), period = 2 (a) graph this periodic function, range is ( -8<t<8), and find a key point (b)Even function or odd function? (c ) find a Fourier series
Decide whether or not the equation has a circle as its graph. If it does, give the center and the radius. If it does not, describe the graph. x2 + y2 + 4x - 3y + 24 = 0 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The graph of the equation is a point. OB. The graph of the equation is a circle with center The radius of...