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Consider the function f(x) = 14x2 + 200 on the open interval (0,00). (1) Find the...
Really need help on those two!! Show steps!! ( + 7)* Let f be defined by f(x) For the following, no decimal entries allowed. For parts (d) and (e), remember that you can enter your answer as an expression and let wamap be the calculator (a) List the critical valuc(s) of f. If there is more than onc, list them separated by commas. Preview (b) Find wheref is decreasing. Answer in interval notation Preview (c) Find where f is increasing....
A certain band charges $124 per ticket for concerts when 224 people attend. The band members realize that for every $6 increase in the ticket price 3 fewer people will attend the concert. Find a revenue function R in terms of x where x represents the number of additional $6 increases in the ticket price. [A] R(x) = Preview [B] Find R'(x) = Preview [C] Find the critical value(s): Preview [D] Perform the second derivative test to determine if there...
(1 point) Consider the function f(x) = x2 - 4x + 2 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on f(x) is on [0, 4); f(x) is (0, 4); and f(0) = f(4) = Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of се (1 point) Given f(x)...
For the following piecewise-defined function f. find the critical numbers, local extreme values, and absolute extreme values on the closed interval 6, 90 20r109 if 6<214 f(z) 14< <18 8 87 if 18 < z<90 10+237 if Critical number(s) Preview Local minimum value(s) Preview Local maximum value(s) Preview Absolute minimum value: Preview Absolute maximum valug: Preview Points possible: 1 This is attempt 1 of 2. Submit For the following piecewise-defined function f. find the critical numbers, local extreme values, and...
Find the maximum and minimum values of the function g(0) interval [o. 7 2θ-4 sin(θ) on the Preview Minimum value-pi/3+2pi Maximum value O Preview Given the function f(z) = 2e - List the x-coordinates of the critical values (enter DNE if none) DNE List the x-coordinates of the inflection points (enter DNE if none) DNE List the intervals over which the function is increasing or decreasing (use DNE for any empty intervals) Increasing on DNE Preview Decreasing on -1/5 *Preview...
PLEASE ANSWER ALL. (1 point) Library/Wiley/setAnton_Section_4.4/question 12.pg Find the absolute maximum and minimum values of f(x) = -(x2 – 2) over the interval (-4, 3). absolute maximum is -0.6299 absolute minimum is -7.368 and it occurs at x = and it occurs at x = 1/2 -4 Notes: If there is more than one z value, enter as a comma separated list. (1 point) Library/Valdosta/APEX_Calculus/3.1/APEX_3.1_20.pg Find the extreme values of the function f on the interval (-5,5). If an extreme...
Find the largest open interval on which the graph of the function f (x) = x4 +6x3 x is concave down Use interval notation, with no spaces in between numbers and brackets. For example: (3,8) Answer: Which of the following statements are true about the function below on the interval [a,b]? AA The derivative is 0 at two values of x both being local maxima. The derivative is 0 at two values of x, one on the interval [a,b] while...
a. Find the open interval(s) on which the function is increasing and decreasing b. Identify the function's local and absolute extreme values, if any, saying where they occur Determine the open interval(s) of x for which g(x) increases. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. o A. The function is increasing on the open interval(s) Type your answer in interval notation. Use a comma to separate answers as needed.)...
Find the absolute maximum and minimum of the function f(x) = 20% – 15x2 – 1 for -1 << < 10. The absolute maximum is and occurs at x = Preview Preview The absolute minimum is and occurs at x = Preview Preview
All boxes with a square base, an open top, and a volume of 200 ftº have a surface area given by S(x)=x2 + where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,00). What are the dimensions of the box with minimum surface area? Determine the derivative of the given function S(x). S'(x)=0 The absolute minimum value of the surface area function ist? (Round to three...