Let f, g be bounded on [a, b]. a) Prove that and b) Prove that and for
Question:
a) Prove that
and
b) Prove that
and
for a
Transcribed Image Text:
(U)| f(x)dx=(U) | f(x)dx+(U)| f(x)dx so
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
a Let P 1 and P 2 be partitions of a b and let P P 1 P 2 Since M j f g M j f M j g we ha...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Let f be bounded on a nondegenerate interval [a, b). Prove that f is integrable on [a, b] if and only if given > 0 there is a partition P of [a, b] such that P P, implies IU (f. P)-L(f, P)| < .
-
Let f and g be bounded functions on I := (a, b). If f(x) < g(x) for all x I, show that L(f) < L(g) and U(f) < U(g).
-
Let [a, b] be a closed bounded interval, f : [a, b] R be bounded, and g : [a, b] R be continuous with g(a) = g(b) = 0. Let fn be a uniformly bounded sequence of functions on [a, b] (see Exercise...
-
The open-loop transfer function of a unity feedback system is: 20 G(s) (s + 1.5)(s + 3.5)(s+ 15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies...
-
Explain the relationship between a companys growth possibilities and its dividend policy.
-
Make an order-of-magnitude estimate of the mass of earth in kilograms.
-
Draw energy diagrams for the processes of separating charge carriers by (a) rubbing, (b) increasing the separation distance between a positively charged object and a negatively charged object, and...
-
Assume that the entry closing total revenues of $3,190,000 and total expenses of $2,350,000 has been made for the year. At the end of the fiscal year, Teresa Schafer, Capital has a credit balance of...
-
Step 3: Testing Your Configuration Update 1. Restart the SSH service. [Your solution command here] 2. Exit the root account. [Your solution command here] 3. SSH to the target machine using your sysd...
-
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The...
-
Let f be integrable on [a, b] and E be a finite subset of [a, b]. Show that If g is a bounded function which satisfies g(x) = f (x) for all x [a, b]E, then g is integrable on [a, b] and gix) dx =...
-
a) If f is increasing on [a, b] and P = {x0, ..., xn] is any partition of [a, b], prove that b) Prove that if f is monotone on [a, b], then f is integrable on [a, b]. [By Theorem 4.19, f has at most...
-
Compare the variability of the following two sets of data by using both the population standard deviation and the population coefficient of variation. Data Set 1 Data Set 2 49 ...........159 82...
-
Describe some of the alternative structures for digital marketing within an organization.
-
What are common communications approaches that need to be applied by marketers across the major social media marketing platforms?
-
Describe the situations where you think a single digital marketing agency is preferable to the use of different specialists.
-
Are transit tickets, Uber rides, and gasoline substitutes? Explain your answer. Public transit ridership was down in 2016 in most U.S. cities. Uber rides increased and gas prices fell. In some...
-
What types of goal is it important to define for social media marketing?
-
Think about all of the communication opportunities provided by social media. How could an organization use social media like Facebook, Twitter, and the like to promote ethical behavior and...
-
Does log 81 (2401) = log 3 (7)? Verify the claim algebraically.
-
Assume X is normally distributed with a mean of 10 and a standard deviation of 2. Determine the value for x that solves each of the following: (a) P(X > x) = 0.5 (b) P(X > x) = 0.95 (c) P(x < X < 10)...
-
Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the following: (a) P(X < 11) (b) P(X > 0) (c) P(3 < X < 7) (d) P(-2 < X < 9) (e) P(-2 < X < 8)
-
Assume X is normally distributed with a mean of 5 and a standard deviation of 4. Determine the value for x that solves each of the following: (a) P(X > x) = 0.5 (b) P(X > x) = 0.95 (c) P(x < X < 9) =...
-
Based on the introductory in Public Finance, what do you think must be the main role of the government in our individual lives? Any references will do, as long as the answer is related to question...
-
Apercu Industries borrowed $92,350 for 200 days at 15% simple interest. Find the total interest they will pay (a) using bankers' rule and (b) using the exact method.
-
On January 4th, Mark went to the hospital to have an appendectomy. His deductible is $2,500 and since it is the beginning of the year, he has not contributed anything to the deductible yet. The total...
Study smarter with the SolutionInn App