Let f(x) = tan x. Show that f(0) f() but there is no number c in
Question:
Let f(x) = tan x. Show that f(0) − f(π) but there is no number c in (0, π) such that f'(c) = 0. Why does this not contradict Rolle’s Theorem?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 30% (10 reviews)
f tan f0 tan 0 0 tan f f sec 2 1 so f c ...View the full answer
Answered By
Sheikh Muhammad Ibrahim
During the course of my study, I have worked as a private tutor. I have taught Maths and Physics to O'Level and A'Level students, as well as I have also taught basic engineering courses to my juniors in the university. Engineering intrigues me alot because it a world full of ideas. I have passionately taught students and this made me learn alot. Teaching algebra and basic calculus, from the very basics of it made me very patient. Therefore, I know many tricks to make your work easier for you. I believe that every student has a potential to work himself. I am just here to polish your skills. I am a bright student in my university. My juniors are always happy from me because I help in their assignments and they are never late.
4.90+
14+ Reviews
24+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Question Posted:
Students also viewed these Mathematics questions
-
Let f(x) = 1 x2/3. Show that f( 1) = f(1) but there is no number c in (1, 1) such that f(c) = 0. Why does this not contradict Roles Theorem?
-
Let f(x) = tan x. Show that f (0) = f () but there is no number c in (0, ) such that f' (c) = 0. Why does this not contradict Rolles Theorem?
-
Let f(x) = (x 1)2. Show that f (0) = f (2) but there is no number in (0, 2) such that f(c) = 0. Why does this not contradict Roles Theorem?
-
Millennium Textiles Company makes silk banners and uses the weighted-average method of process costing. Direct materials are added at the beginning of the process, and conversion costs are added...
-
Merge the local data models to create a global logical data model of the Well meadows Hospital case study. State any assumptions necessary to support your design.
-
A social psychologist is interested in how people perceive age-discrepant couples. She gets a random sample of shoppers at a mall, has them read a wedding announcement, and then asks them to...
-
If MBSE is a tool that satisfies an SE solution space, define the problem space it is intended fill.
-
1. For an additional fee, a customer purchasing a Sears Roebuck appliance, such as a washing machine, can purchase a three- year service contract. The contract provides free repair service and parts...
-
Obtain the public financial records for at least 3 years for 1 domestic and 1 global organization selected in Wk 3. Analyze the current and expected performance of each organization using financial...
-
"Part 1: The Performance Lawn Equipment database contains data needed to develop a pro forma income statement. Dealers selling PLE products all receive 18% of sales revenue for their part of doing...
-
Find the limit. Use lHospitals Rule where appropriate. If there is a more elementary method, consider using it. If lHospitals Rule doesnt apply, explain why. tan 3x lim x0 sin 2x
-
Find the most general antiderivative of the function. (Check your answer by differentiation.) g(x) = x (2 x + 6x 2 )
-
Polar Magnets Limited is a global supplier of neodymium magnets. Based in Japan, it manufactures magnets of various sizes and shapes such as circular, rectangular, cylindrical, and spherical....
-
Identify five benefits of the successive versions of the Violence Against Women Act.
-
Identify three circumstances in which an adoption may be challenged.
-
Identify a minimum of five reasons why victims stay in abusive relationships.
-
Explain the difference between absolute and gage pressures.
-
Describe the nature and purpose of a personal safety plan.
-
In Problems 1-4, write the given decimal as an infinite series then find the sum of the series, and finally, use the result to write the decimal as a ratio of two integers (see Example 2)? 1....
-
Test your confidence in the following Project Decisions: SI. # Question 01 02 03 04 05 06 07 08 09 10 How many years did it take to construct the largest Egyptian Pyramid- Pyramid of Cheops? When was...
-
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the...
-
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the...
-
Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the...
-
(6 pts.) The following gas phase reaction system is conducted in an isothermal constant volume batch reactor. The reactor is charged with pure A with an initial concentration CAO AB ri = k CA B D r2...
-
Based on the NPV and IRR investment criteria, should your company introduce a new candy flavor? 1) Should the cost of a marketing survey be included in your decision? Why or why not? 2) Calculate the...
-
Line spectra for atoms is generated by electronic transitions between quantum energy levels. For the hydrogen atom we established that in the absence of external fields the energy depends only on the...
Study smarter with the SolutionInn App