Average values Find the average value of the following functions on the given interval. Draw a graph of the function and indicate the average value.
23.
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
- Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14arrow_forwardFind the average value of the function on the interval. f(x) =Β 16Β βΒ x2;Β Β Β Β [β4,Β 4] Β Find allΒ x-values in the interval for which the function is equal to its average value. (Enter your answers as a comma-separated list. Round your answers to two decimal places.) Β x =arrow_forwardf(x) = 1/(x-6)2 ;Β Β Β Β [0,Β 5] Find allΒ x-values in the interval for which the function is equal to its average value. (Enter your answers as a comma-separated list.)arrow_forward
- f(x) =Β 4ex,Β Β Β [β2,Β 2] Find all values ofΒ xΒ in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.) x = ...........arrow_forwardFind the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) =Β βsinΒ x,Β Β Β Β [0,Β Ο] Β Find all values ofΒ xΒ in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.) xΒ =arrow_forwardFind the average value of the function over the given interval. f(x) =Β 9Β βΒ x2,Β Β Β Β [β3,Β 3] _______ Find all values ofΒ x in the interval for which the function equals its average value.Β x = _______arrow_forward
- Please help me solve this problem Find the average value of the function on the interval. f(x) = 8x; [1,9] _____________________ Find allΒ x-values in the interval for which the function is equal to its average value. (Enter your answers as a comma-separated list.) x = ______________arrow_forward(A) Find the average rate of change ofΒ fΒ on the intervalΒ β3β€xβ€4. Β (B) Write an equation for the line tangent to the graph of fΒ atΒ x=3. Β (C) Find the average value of fΒ on the intervalΒ β3β€xβ€4 . Β (D) Must there be a value of xΒ at which f(x)Β attains an absolute maximum on the closed intervalΒ β3β€xβ€4?Β Justify your answer.arrow_forwardAverage values Find the average value of the following functionson the given curve. Ζ(x, y) = x + 2y on the line segment from (1, 1) to (2, 5)arrow_forward
- A graphing calculator is recommended.Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) =Β eβx9Β on [β1, 1]arrow_forwardOil leaked from a tank at a rate of r(t) per hour. The rate decreased as time passed and values of the rate of two-hour time intervals are shoen in the table. Find lower and upper estimates for the total amount of oil that leaked out .arrow_forwardOil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t (h) 0 2 4 6 8 10 r(t) (L/h) 8.8 7.9 6.9 6.2 5.7 5.3 Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10].(Use five equal subintervals.)arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning