If a converges uniformly on [c, d], prove that is improperly integrable on (a, b) and F(y)f(x,

Question:

If a

converges uniformly on [c, d], prove that

is improperly integrable on (a, b) and

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

See More Books

Question Posted: Mar 29, 2016 04:24 AM

See More Questions

a) Suppose that f is improperly integrable on [0, ). Prove that if L = limx f(x) exists, then L = 0. b) Let Prove that f is improperly integrable on (0, ) but limx, does not exist. f(x)=10 otherwise.
If f : [a, b] R is integrable on[a, b], prove that s b 1/2 f(x) dx
If f is integrable on [-Ï, -] and a R, prove that linLf(x)sin(k+)xdx=0.
. The electric polarization P of a light wave for high values of the electric field E is given by: P= a(c,E+cE + cE) where a, c1, c2 and c3 are constants. Find the expression for the instantaneous...
International Data Systems information on revenue and costs is only relevant up to a sales volume of 105,000 units. After 105,000 units, the market becomes saturated and the price per unit falls from...
Cygnarowicz and Seider [Biotechnol. Prog., 6, 8291 (1990)] present a process for supercritical extraction of b-carotene from water with CO 2 , using the GC-EOS method of SkjoldJrgensen to estimate...
Which needs do you believe affect your motivation most: achievement, affiliation, or power?(p. 93)
Implement the linear optimization model that you developed for Valencia Products in and use Solver to find an optimal solution. Interpret the Solver Answer report and identify the binding constraints...
Find the periodic payment which will amount to a sum of $13000 if an interest rate 6% is compounded annually at the end of 9 consecutive years. The periodic payment is
Lockhart&Stark, a VC firm, has invested $ 3 million for 30% of the company, Banana. Palm, a leader in the same industry with Banana, is considering to acquire Banana. Answer the questions in the...
Evaluate each of the following iterated integrals. a) «10 «10 (x + y) dx dy b) c) 6y cos(y) dy dx
Evaluate each of the following iterated integrals. Write each as an integral over a region E, and sketch E in each case. a) b) c) d) dy ds Jo Jy sin(x-) dx dy dz dx dy
A rigid vessel containing $5 \mathrm{~mol}$ of $\mathrm{He}$ gas at $25^{\circ} \mathrm{C}$ is heated to $225^{\circ} \mathrm{C}$. Calculate the heat requirements for the process, given that...
In an air-pollution study performed at an experiment station, the following amount of suspended benzenesoluble organic matter (in micrograms per cubic meter) was obtained for eight different samples...
The figure shows a sketch of the curve with equation y = f(x). The curve passes through the points (0, 3) and (4, 0) and touches the x-axis at the point (1, 0). On separate diagrams, sketch the...
An object is placed $200 \mathrm{~mm}$ from a diverging thin lens that has a focal length of $-500 \mathrm{~mm}$. What are (a) the image distance and $(b)$ the magnification? (c) Draw a...
In a study of warp breakage during the weaving of fabric (Technometrics [1982]: 63), 100 pieces of yarn were tested. The number of cycles of strain to breakage was recorded for each yarn sample. The...
Many consider family-owned businesses the backbone of American business. Mei Mei translates from Chinese to little sister in English, and its name aptly represents a family business of three...
The Nuclear Regulatory Commission owns and operates 104 civilian nuclear power plants and 63 military reactors. True/False
Why is a help desk and production support critical to system implementations? Discuss its interrelationship with the problem management and reporting system.
Express the given quantity as s single logarithm. 39. 2 In 4 In 2 40. In x + a In y - b In: 41. In(1 + x*) + In x - In sin x
Use Formula 10 to evaluate each logarithm correct to six decimal places. (a) log12 10 (b) log2 8.4
Use Formula 10 to graph the given functions on a common screen. How are these graphs related?
Accounting changes fall into one of three categories. Identify and explain these categories and give an example of each one.
Machinery is purchased on May 15, 2015 for $120,000 with a $10,000 salvage value and a five year life. The half year convention is followed. What method of depreciation will give the highest amount...
Flint Corporation was organized on January 1, 2020. It is authorized to issue 14,000 shares of 8%, $100 par value preferred stock, and 514,000 shares of no-par common stock with a stated value of $2...

If a converges uniformly on [c, d], prove that is improperly integrable on (a, b) and F(y)f(x,

Question:

F(y)f(x, y) dx f(x, y) dy f (x, y) dx dy- f(x. y) dy dx.

Step by Step Answer:

Let 0 a N d choose a A B b such that Fy fx y ...View the full answer

An Introduction to Analysis

Students also viewed these Numerical Analysis questions