The cost of manufacturing x tennis balls is C(x)=0.1x^(2)+25x+1000 if 0<x<700 . a) Find the average...
The cost of manufacturing x tennis balls is C(x)=0.1x^(2)+25x+1000 if 0<x<700 . a) Find the average cost function C(x) . b) Identify all intervals on which C(x) is increasing. c) Identify all intervals on which C(x) is decreasing. d) Identify the x-coordinate for all local extrema of C(x) .
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The cost of manufacturing x tennis balls is
C(x)=0.1x^(2)+25x+1000 if 0<x<700 . a) Find the average...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers...
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
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...
Given 𝑓(𝑥) = 𝑥 − sin 𝑥, over the interval 0 ≤ 𝑥 ≤ 2π
Given 𝑓(𝑥) = 𝑥 − sin 𝑥, over the interval 0 ≤ 𝑥 ≤ 2𝜋a. Find all local and absolute extrema and give the ordered pair where they occur. b. Find the intervals on which the function is increasing and decreasing.c. Find the intervals on which the function is concave up and concave down. d. Graph the function. Be sure to include all of the information from parts a-c and all x- and y-intercepts.
please help!! 4) Graphing polynomials Sketch a graph of f(x) = x* + 4x3. (10 pts)...
please help!!
4) Graphing polynomials Sketch a graph of f(x) = x* + 4x3. (10 pts) D . C Not Secure Vizedhtmlcontent. next.ecollege.com d) Find critical points and possible inflection points. e) Find intervals on which the function is increasing/decreasing. f) Find intervals on which the function is concave up/down. g) Identify the local extrema.
A firm's price in a perfectly competitive market is 1000. Its cost function is C(x) =...
A firm's price in a perfectly competitive market is 1000. Its cost function is C(x) = 0.017° – 3x² +1108x+960, where x20 is the number of units produced and sold. a. Find the profit function 7(x) for x 20. b. Find all stationary points and determine the profit maximising level of output. c. Using a sign diagram, determine the intervals over which r(x) is increasing and decreasing. d. Determine the intervals over which z(x) is concave and convex. e. Where...
dentifying Extrema In Exercises 15-46: 51. 52. 53 54 a. Find the open intervals on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme valu...
dentifying Extrema In Exercises 15-46: 51. 52. 53 54 a. Find the open intervals on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. We were unable to transcribe this image
dentifying Extrema In Exercises 15-46: 51. 52. 53 54 a. Find the open intervals on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b)...
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
Use implicit differentiation to find y' and evaluate y'at (-1,-6). 9xy + y-48 = 0 y'...
Use implicit differentiation to find y' and evaluate y'at (-1,-6). 9xy + y-48 = 0 y' = Evaluate y' at (-1,-6). y'l(-1,-6)=0 (Simplify your answer.) Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x + 10x + 21 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
Consider the following function. f(x) = cos(x) - sin(x), (0, 2) (a) Find the critical numbers of f, if any. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing х decreasing X (c) Apply the First Derivative Test to identify all relative extrema. (If an answer does not exist, enter DNE.) relative minimum (X,Y)...
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...
please help!!
4) Graphing polynomials Sketch a graph of f(x) = x* + 4x3. (10 pts) D . C Not Secure Vizedhtmlcontent. next.ecollege.com d) Find critical points and possible inflection points. e) Find intervals on which the function is increasing/decreasing. f) Find intervals on which the function is concave up/down. g) Identify the local extrema.
A firm's price in a perfectly competitive market is 1000. Its cost function is C(x) = 0.017° – 3x² +1108x+960, where x20 is the number of units produced and sold. a. Find the profit function 7(x) for x 20. b. Find all stationary points and determine the profit maximising level of output. c. Using a sign diagram, determine the intervals over which r(x) is increasing and decreasing. d. Determine the intervals over which z(x) is concave and convex. e. Where...
dentifying Extrema In Exercises 15-46: 51. 52. 53 54 a. Find the open intervals on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they occur. We were unable to transcribe this image
dentifying Extrema In Exercises 15-46: 51. 52. 53 54 a. Find the open intervals on which the function is increasing and decreasing. b. Identify the function's local and absolute extreme values, if any, saying where they...
Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in...
2. (10 points) For function f(x) = 4x3 – x4, find: (a) the critical points; (b) the open intervals on which the function is increasing or decreasing; (c) locate all relative extrema.
Use implicit differentiation to find y' and evaluate y'at (-1,-6). 9xy + y-48 = 0 y' = Evaluate y' at (-1,-6). y'l(-1,-6)=0 (Simplify your answer.) Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x + 10x + 21 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval...
2. (4+6+2+4+2+6=24 points Consider the function f(x) = -1 (a) Find any vertical and horizontal asymptotes off. (b) On what intervals is f increasing? decreasing? (c) Find all local maximum and minimum values of (d) On what intervals is f concave up? concave down? (e) Find all inflection points of f. (f) Using the information from (a) to (e), sketch a graph of J. Clearly label any asymptotes, local extrema, and inflection points.
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