Homework Answers
![Concave up/ down Concave up xx Concave down as t (reco x<1]](http://img.homeworklib.com/questions/3136c0a0-7ac0-11eb-8893-473752b5cbe9.png?x-oss-process=image/resize,w_560)
2. for the function f(x)= x+2 cos x on the interval [0,2pi] a. find the first...
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
for the function f(x) = 3x-x^3, find: 1) Domain 2) Intercepts (if possible) 3) Intervals of...
for the function f(x) = 3x-x^3, find: 1) Domain 2) Intercepts (if possible) 3) Intervals of increasing/decreasing and Relative max/min 4) Intervals of concavity and point of inflection 5) End behavior 6) Any vertical and horizontal asymptote 7) Use all the above to make a detailed graph of the function on a grid please write everything clearly and i'l rate you depending on the work, thanks.
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down,...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I ...
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the...
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the x-coordinates of the inflection points on the graph of f. (c) Fill out the chart below and roughly sketch the graph of y = xée 2* Interval Test value x Sign of f'(x) Sign of F"(x) Concavity Rough Graph
Question 11 10 pts The derivative f'(2) of an unknown function f(x) has been determined as...
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...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) =...
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
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...
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...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b)...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
2. for the function f(x)= x+2 cos x on the interval
[0,2pi] a. find the first derivative
b.) find the second derivative
c.) find the functions critical values(if any). include their y-
coordinates in your answers in order to form critical points.
d. )find the intervals on which f is increasing or
decreasing.
e. )find the local extrema of f.
f. )find the functions hyper critical values(if any). include their
y coordinates
g.) find the intervals of concavity, i.e. the...
9. Determine where f(x) is increasing/decreasing. Locate the local extrema; determine where it is concave up/down, locate inflection pts. Use this information to sketch the graph. (20 pts) 4x2 + 12x – f'(x) = Critical Values are: F"(x) = Possible Inflection points are: First derivative information Interval Sample point f' = + or - Show inc/dec 2nd derivative information Interval Sample point f" x f" = + or - Concavity:
7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up...
(5 points) Let f(x) = 5x2e-3x (a) Find all critical numbers of f. (b) Find the x-coordinates of the inflection points on the graph of f. (c) Fill out the chart below and roughly sketch the graph of y = xée 2* Interval Test value x Sign of f'(x) Sign of F"(x) Concavity Rough Graph
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...
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing. List these intervals c) Find the r coordinates of all relative maxima. d) Find, if they exist, the s-coordinates of all points of inflection e) Determine the intervals where f is concave up. List these intervals
Final page 5 of 13 4. Let f(x)8+1 a) Find all the critical points. b) Find the interval(s) where f(x) is decreasing....
17. Given the following function and its first and second derivative: 20-2 6-43 f'(x)= f"(x) = [2 pts] 1) Find the horizontal and vertical asymptotes of f(x), if any. f(x)=x-2x=1 نر [2 pts) ii) Find all critical numbers. Note: NOT a point, just critical numbers only. [5 pts) iii) Find the intervals of increasing and decreasing then finding all local maximum minimum values. [5 pts] Find the intervals of concave upward and concave downward. [2 pts) Find inflection point, if...
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...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
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