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Use the guidelines to sketch the curve y = 2x^2/x^2 - 1. The domain is {x | x^2 - 1 0} = {x | x plusminus 1} The x- and y-intercepts are both 0. Since f(-x) = f(x), the function f is. The curve is symmetric about the y-axis. Since the denominator is 0 when x = plusminus1, we compute the following limits: Therefore the lines x = 1 and x = are vertical asymptotes. This information about limits and...
Curve Sketching: Use the following guidelines to sketch the graph of y-f(x) x-5x (20 points) a. What are the behaviors of y when x->oo, or x--0? (3 points) b. What is the first derivative of this function? What are increasing intervals and decreasing intervals and max points and mini points? (6 points) c. What are the second derivative of this function? What are intervals for concavity upwards and concavity downwards and inflection points? (6 points) Use the above information (a,...
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
$ 200, if x > 10 else 3) Let X1, X2,..., X, bei.i.d. random variables from a population with f(x;0) = 0 > 0 being unknown parameter. a) Sketch a graph of a density from this family for a fixed 0. b) Find the cumulative distribution function F(x;0) of X1. c) Show that X (1) is a minimal sufficient statistic for e. 2n02n o d) Show that the density of X(1) is given by fx y2n +T, if y (y;0)...
3 (i) Sketch y= 2* and y=x+2 on the same axes. (ii) Use your sketch to deduce the number of roots of the equation 2* = x+2. (iii) Find each root, correct to 3 decimal places if appropriate.
x(x + 3) 3. Sketch the graph of taking care to explain (x – 3)2' how you deduce all the important features.
3. Sketch the graph of the curve y vx' -5x + 6 = x (x-2)(x-3).
sketch a graph of the given functions f(x)=(x-3)^2 f(x)=-x^3 f(x)=4|x-2|-6 please explain
Prove whether or not the program segment x≔3 z≔x-y+2 if y>0 then z≔z+3 else z≔2 is partially correct with respect to the initial assertion y=4 and the final assertion z=6
if (a > 0) if (b < 0) x = x + 5; else if (a > 5) x = x + 4; else x = x + 3; else x = x + 2; Refer to Code Segment Ch 05-1. If x is currently 0, a = 0 and b = -5, what will x become after the statement shown is executed?