Let f avg [a, b] denote the average value of f on the interval [a, b]. Show
Question:
Let favg [a, b] denote the average value of f on the interval [a, b].
Show that if f is continuous, then
Transcribed Image Text:
lim,-a+ favg [a, t] = f(a).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
Since f is continuous we c...View the full answer
Answered By
Talha Talib
I am a member of IEEE society. As i am a student of electrical engineering badge 17 but beside of this i am also a tutor in unique academy. I teach calculus, communication skills, mechanics and economics. I am also a home tutor. My student Muhammad Salman Alvi is a brilliant A-level student and he performs very well in academics when i start to teach him. His weak point was mathematics but now he is performing well in mathematics. I am a scholarship holder in Fsc as i scored 1017 marks in metric out of 1100. Later on i got scholarship in Punjab Group of Colleges. I got 2nd position in robotics competition in 2018 as my project home automation select for the exhibition in Expocentre.
4.60+
23+ Reviews
62+ 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
-
If fave [a, b] denotes the average value of f on the interval [a, b] and a Sam[a, b] = f.[a. c]+ f[c. b] Sae[c. b] fove[a, b]
-
Show that if f is a function from S to T, where S and T are nonempty finite sets and m = [|S| / |T|], then there are at least m elements of S mapped to the same value of T. That is, show that there...
-
Let X ¼ Bin(n, p). a. Show that if x is an integer between 1 and n inclusive, then b. Show that if X ¼ Bin(n, p), the most probable value for X is the greatest integer less than or...
-
According to the 1980 revisions to the Copyright Act of 1976,_____. a. the owner of a copyrighted program is allowed to make multiplecopies or adaptations for use on other computers b. copyright...
-
a. Do you think Mr Smith should take the trip? Outline any ethical concerns involved.
-
Fiendish Friends makes Halloween costumes. The company incurred the following total costs to produce 25,000 costumes. Direct materials....... $200,000 Direct labor........ 150,000 Variable...
-
In a chemical laboratory, it is proposed to carry out the reaction \[ \mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) ightarrow \mathrm{C}_{2} \mathrm{H}_{5}...
-
Southwest has mastered the low-price model and has the financial results to prove it. Why dont the other airlines copy Southwests model?
-
Q8: Capacity Planning Cycle Time PRIMOS AMERICAN PIZZA (3 Marks) Also, PRIMO's Pizza has the process displayed below. The preparing operation occurs simultaneously. The product only needs to go...
-
In the quantity discount model in Example 12.2, the minimum total annual cost is obtained by ordering enough to achieve the smallest unit purchasing cost. Evidently, the larger unit purchasing costs...
-
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = 4x x 2 , y = 3; about x = 1
-
Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y = 4 2x, y = 0, x = 0; about x = 1
-
In Example 21.1 (Section 21.3) we saw that the electric force between two a particles is of the order of 1035 times as strong as the gravitational force. So why do we readily feel the gravity of the...
-
The uniform rectangular relief gate AB has a weight of 8000 lb and a width of 4 ft. Determine the specific weight of the fluid if a minimum depth h= 5.626 ft of the fluid within the container is...
-
Table 1 shows an abridged portion of the unit process for processing soybeans to make soy oil, which can be used to make alternative fuels. The table has been normalized per unit of soy oil. For ease...
-
The rate constant k for a certain reaction is measured at two different temperatures: temperature 57.0 C 198.0 C E = Assuming the rate constant obeys the Arrhenius equation, calculate the activation...
-
Propane (C3H8) at standard temperature and pressure (298K and 1 atm) is combined with air at 500K and 1 atm in stoichiometric proportions and burned in a control volume (open system). a. (10 points)...
-
Consider a gaseous mixture of 20% CO, 20% CO2, 50% H and 10% HO which is brought to a temper- ature T = 1500 K at 1 bar. What is the final equilibrium composition of the gaseous phase? (Useful Data:...
-
Why is change, both creative and a rational process? Provide examples to support response
-
For the following exercises, write the first four terms of the sequence. a n = 2 n 2
-
Fill in the blanks with either of the words the derivative or an antiderivative: If F'(x) = f(x), then f is ________ of F and F is ________ of f.
-
Sketch the graph of a smooth function f and label a point P(a, (f(a)) on the curve. Draw the line that represents the linear approximation to f at P.
-
Verify that the following functions satisfy the conditions of Theorem 4.5 on their domains. Then find the location and value of the absolute extremum guaranteed by the theorem. A(r) = 24/r + 2pr 2 ,...
-
You have $36,000 to Invest in Sophie Shoes, a stock selling for $60 a share. The initial margin requirement is 65 percent. calculate your rates of return if the stock rises to $90 a share and if it...
-
New Flyer Industries has decided to expand its production of hybrid transit buses. The firm expects incremental cash flows of? $40 million per year for the next 10 years. The upfront cost of the...
-
Calculate the mean, mode, median, standard deviation, and range for the Graduation Rate, Salary After Completing Program, and Annual Cost. our response to each of these should include only the mean,...
Study smarter with the SolutionInn App