Homework Help is Here – Start Your Trial Now!
Math
Calculus
Step 4 of 6 Determine all x in [-x/2, x/2] at which the graph has horizontal tangents. To find where the graph has a horizontal tangent, we set f'(x) = 15 cos(x) – 17 sin(x) equal to zero and solve for x. 15 cos(x) - 17 sin(x) = 0 15 = tan(x) 17 15 15 x = arctan 17 -1 tan + nx 17 We must now check for which integer values of n the x-value is in the interval Step 5 of 6 Check that x = tan is the only solution and that this value is in The function f(x) = tan(x) has a domain of all real numbers all real numbers and range Thus x = tan is in the interval Also note that the length of the range is , so integer multiples of x added to the function will push the x-values outside of the interval So this is the only possible solution. Step 6 of 6 Use information from steps 4 and 5 to determine all x in at which the graph has horizontal tangents. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) MacBook Air

Step 4 of 6 Determine all x in [-x/2, x/2] at which the graph has horizontal tangents. To find where the graph has a horizontal tangent, we set f'(x) = 15 cos(x) – 17 sin(x) equal to zero and solve for x. 15 cos(x) - 17 sin(x) = 0 15 = tan(x) 17 15 15 x = arctan 17 -1 tan + nx 17 We must now check for which integer values of n the x-value is in the interval Step 5 of 6 Check that x = tan is the only solution and that this value is in The function f(x) = tan(x) has a domain of all real numbers all real numbers and range Thus x = tan is in the interval Also note that the length of the range is , so integer multiples of x added to the function will push the x-values outside of the interval So this is the only possible solution. Step 6 of 6 Use information from steps 4 and 5 to determine all x in at which the graph has horizontal tangents. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) MacBook Air

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
Step 6
Step 4 of 6 Determine all x in [-x/2, x/2] at which the graph has horizontal tangents. To find where the graph has a horizontal tangent, we set f'(x) = 15 cos(x) – 17 sin(x) equal to zero and solve for x. 15 cos(x) - 17 sin(x) = 0 15 = tan(x) 17 15 arctan 17 (15 -1 X = tan + na 17 We must now check for which integer values of n the x-value is in the interval Step 5 of 6 Check that x = tan is the only solution and that this value is in The function f(x) = tan(x) has a domain of all real numbers all real numbers and range Thus x = tan is in the interval Also note that the length of the 2 range is , so integer multiples of r added to the function will push the x-values outside of the interval . So this is the only possible solution. Step 6 of 6 Use information from steps 4 and 5 to determine all x in at which the graph has horizontal tangents. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) MacBook Air esc F1 F2 000 F3 F4 ES F7 F8 @ %23 $ & 3 4 5 6. 7 8.
Transcribed Image Text:Step 4 of 6 Determine all x in [-x/2, x/2] at which the graph has horizontal tangents. To find where the graph has a horizontal tangent, we set f'(x) = 15 cos(x) – 17 sin(x) equal to zero and solve for x. 15 cos(x) - 17 sin(x) = 0 15 = tan(x) 17 15 arctan 17 (15 -1 X = tan + na 17 We must now check for which integer values of n the x-value is in the interval Step 5 of 6 Check that x = tan is the only solution and that this value is in The function f(x) = tan(x) has a domain of all real numbers all real numbers and range Thus x = tan is in the interval Also note that the length of the 2 range is , so integer multiples of r added to the function will push the x-values outside of the interval . So this is the only possible solution. Step 6 of 6 Use information from steps 4 and 5 to determine all x in at which the graph has horizontal tangents. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) MacBook Air esc F1 F2 000 F3 F4 ES F7 F8 @ %23 $ & 3 4 5 6. 7 8.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Perimeter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS