DI Consider the graph below of f(x). At what values of x does f(x) have a...
Use first derivative analysis (no calculators) to graph each function. (By first derivative analysis we mean the following as demonstrated in class: find critical values indicate whether the first derivative is 0 (producing a horizontal tangent) or undefined (producing sharp corner or vertical tangent) at each critical value o o o show tables of intervals where f increases or decreases and thus whether critical values correspond to a local maximum, local minimum, or neither). x) (4-x2)
Use first derivative analysis...
Your MUST SHOW SUFFICIENT WORK on each part of this problem. Consider the function f(x) = -2x3 + 18x2 - 48x – 2. (a) Find f' and f" f'(x) = F"(x) = (b) List the critical values of f. Separate your answers with"," (c) Determine which critical value represents a relative minimum. If there are no critical values, type "NONE" (d) Determine which critical value represents a relative maximum. If there are no critical values, type "NONE". (e) Find the...
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The graph and equation of the function f are given. a. Use the graph to find any values at which f has a relative maximum, and use the equation to calculate the relative maximum for each value b. Use the graph to find any values at which f has a relative minimum, and use the equation to calculate the relative minimum for each value. fx)-2x3+3x2 -12x+7 I-5.5.1] by I-35,35,5] a. Select the...
f(t)dt, with f(x) shown in the graph below. At what x values does A(x) have a local max: x= At what x values does A(x) have a local min: x= Restrict your answers to values 0<x56
Below is the graph of f(x), a function defined on the domain (-5,5). f(x) For each function value, decide if the value is positive, negative, zero, or undefined. a f'(-3) is positive negative zero undefined b. "(-1) is positive negative ? a. f'(-3) is positive negative zero undefined b. f "(-1) is positive negative zero undefined c. f'(1) is ? positive negative O O zero O undefined d. f"(3) is positive ã o negative o zero o o undefined e....
2.1 & 2.2 Finding relative max and min, inflection points and graphing Find all the critical values of f)--3)Which critical value gives a relative maximum? Which critical value gives a relative minimum? Find all the inflection points of f(x) 2 -2r +1,ga) Does the function g(r) Jrl have any critical value? Sketch a graph for f(x) such that f'(z) >0 over the intervals (-00,-2) and (2,4); f(a) < 0 over the intervals (-2,2) and (4, oo); f"()0 when 0, r...
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as f'(x) = (x - 2)(+3)2. Use this derivative to find the intervals where the original function f is increasing/decreasing. Then find the x-values that correspond to any relative maximums or relative minimums of the original unknown function f(x). O no relative maximum; relative minimum at x=2 relative maximum at x=-3; no relative minimum O relative maximum at x=2; relative minimum at x=-3 relative maximum...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...
Use the graph of F'(x) to answer questions about the function F(x). The domain of F(x) is (-00, ). This is the graph of F'(x). 12 4 8 14 18 (a) Find the critical values for F(x). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x= (b) Give the intervals where F(x) is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Give the intervals where...
3.Consider the following function where a is a positive constant exp(x / a) x<0 f(x) exp(-x/a) r >0 (a) Compute the area bounded by f(x) and the x-axis. Graph f(x) against x for a 2 and a 0.5. (b) Find the Fourier transform F(o) of f(x) (c) Graph F(o) against ω for the same two values of a mentioned (d)Explain what happens to f(x) and F(o) when a tends to zero. F(o) f(x)exp(-icox)dx
3.Consider the following function where a is...