Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Please answer the "script" with math codes. Also, please see the attached picture of the guide on how to code the script

Please answer the "script" with math codes. Also, please see the attached picture of the guide on how to code the script

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
See similar textbooks
icon
Related questions
Question

DUE NOW. This is a MatLab activity. Please answer the "script" with math codes. Also, please see the attached picture of the guide on how to code the script. Thank you!

 

Analyze the given function around its critical point. ▪ f(x) = Script 1 %Use symbolic processing with the variable x 2 3 4 Enconde the function f(x) 5 f(x) = 6 7 %Set the distance to the left/right of the critical point 8 h 0.01 9 10 %Find the first derivative of the function 11 fp(x) = 12 13 %Solve for the roots of fp 14 root1 solve(fp) 15 16 Consider the first critical point only. 17 c=root1 (1) 18 19 Determine if the function is "Increasing" or "Decreasing" at the right of the critical point 20 if (fp(c+h) >0) IODR = ≈ ≈ ≈ ≈ 4 2N228 m m m 21 22 elseif (fp(c+h) <0) IODR = 23 24 end 25 26 Determine if the function is "Increasing" or "Decreasing" at the right of the critical point if (fp(c-h)>0) 27 IODL = 29 elseif (fp(c-h) <0) IODL = 30 31 end 32 35 33 %Use first derivative Test to Determine if the critical point is a "Maximum" point or "Minimum" point. 34 if IoDL=="Increasing" & IODR =="Decreasing" CP= 36 elseif IODL=="Decreasing" & IODR =="Increasing" 37 CP= 38 end 39 40 %Find the second derivative of the function 41 fpp (x)= diff(f, 2); 42 Save 48 49 elseif fpp(c) <0 50 CP2 = 51 else 52 53 end 54 CP2 = 43 %Find the points of inflection of the function by equating the second derivative of the function to zero. 44 CC = 45 46 %Apply Second Derivative Test to check whether the critical point is a "Maximum" point, a "Minimum" point or "Point of Inflection". if fpp(c) >0 47 CP2 = 55 56 %GRAPH THE FUNCTION 57 clf(); 58 g1= ezplot (f); 59 hold on C Reset 60 grid on 61 plot (c, f(c), 'r*') 62 title("Curve Tracing") 63 text (c+.5, f(c), ["("+string(c)+","+string (f(c))+") "+CP 1) 64 MATLAB Documentation Run Script ?
Transcribed Image Text:Analyze the given function around its critical point. ▪ f(x) = Script 1 %Use symbolic processing with the variable x 2 3 4 Enconde the function f(x) 5 f(x) = 6 7 %Set the distance to the left/right of the critical point 8 h 0.01 9 10 %Find the first derivative of the function 11 fp(x) = 12 13 %Solve for the roots of fp 14 root1 solve(fp) 15 16 Consider the first critical point only. 17 c=root1 (1) 18 19 Determine if the function is "Increasing" or "Decreasing" at the right of the critical point 20 if (fp(c+h) >0) IODR = ≈ ≈ ≈ ≈ 4 2N228 m m m 21 22 elseif (fp(c+h) <0) IODR = 23 24 end 25 26 Determine if the function is "Increasing" or "Decreasing" at the right of the critical point if (fp(c-h)>0) 27 IODL = 29 elseif (fp(c-h) <0) IODL = 30 31 end 32 35 33 %Use first derivative Test to Determine if the critical point is a "Maximum" point or "Minimum" point. 34 if IoDL=="Increasing" & IODR =="Decreasing" CP= 36 elseif IODL=="Decreasing" & IODR =="Increasing" 37 CP= 38 end 39 40 %Find the second derivative of the function 41 fpp (x)= diff(f, 2); 42 Save 48 49 elseif fpp(c) <0 50 CP2 = 51 else 52 53 end 54 CP2 = 43 %Find the points of inflection of the function by equating the second derivative of the function to zero. 44 CC = 45 46 %Apply Second Derivative Test to check whether the critical point is a "Maximum" point, a "Minimum" point or "Point of Inflection". if fpp(c) >0 47 CP2 = 55 56 %GRAPH THE FUNCTION 57 clf(); 58 g1= ezplot (f); 59 hold on C Reset 60 grid on 61 plot (c, f(c), 'r*') 62 title("Curve Tracing") 63 text (c+.5, f(c), ["("+string(c)+","+string (f(c))+") "+CP 1) 64 MATLAB Documentation Run Script ?
Curve Tracing [A] Curve Tracing In carrying out a Calculus based analysis of the graph of a function, the following steps can be performed. First Derivative 1. Solve the first derivative of the function. 2. If the first derivative of a function at a given point is positive, the function is increasing. 3. If the first derivative of a function at a given point is negative, the function is decreasing. 4. The point where the first derviative equates to zero is the critical point of the function. 5. If the slopes besides the critical point are changing from negative to positive, the critical point is a minimum point. 6. If the slopes besides the critical point are changing from negative to positive, the critical point is a minimum point. Second Derivative 1. Solve the second derivative of the function. 2. If the second derivative of a function at a given point is positive, the function is concave upward. 3. If the second derivative of a function at a given point is negative, the function is concave downward. 4. The point where the second derivative equates to zero is the inflection point of the function. 5. If the concavity at the critical point is upward, the critical point is a minimum point. 6. If the concavity at the critical point is downward, the critical point is a maximum point.
Transcribed Image Text:Curve Tracing [A] Curve Tracing In carrying out a Calculus based analysis of the graph of a function, the following steps can be performed. First Derivative 1. Solve the first derivative of the function. 2. If the first derivative of a function at a given point is positive, the function is increasing. 3. If the first derivative of a function at a given point is negative, the function is decreasing. 4. The point where the first derviative equates to zero is the critical point of the function. 5. If the slopes besides the critical point are changing from negative to positive, the critical point is a minimum point. 6. If the slopes besides the critical point are changing from negative to positive, the critical point is a minimum point. Second Derivative 1. Solve the second derivative of the function. 2. If the second derivative of a function at a given point is positive, the function is concave upward. 3. If the second derivative of a function at a given point is negative, the function is concave downward. 4. The point where the second derivative equates to zero is the inflection point of the function. 5. If the concavity at the critical point is upward, the critical point is a minimum point. 6. If the concavity at the critical point is downward, the critical point is a maximum point.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS