Show that f is continuous on (-, ). |sin x if x < /4 [ sin f(x)
Question:
Show that f is continuous on (-∞, ∞).
Transcribed Image Text:
|sin x if x < /4 [ sin f(x) = cos x if x > /4 %3D >T/4
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
By Theorem 7 the trigonometric functions are continuous Since fx sin ...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 Mathematics questions
-
(a) Show that the absolute value function F(x) = |x| is continuous everywhere. (b) Prove that if f is a continuous function on an interval, then so is | f |. (c) Is the converse of the statement in...
-
Find the limit or show that it does not exist. lim [In(1 + x?) In(1 + x)] X 00
-
Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check your work by graphing the curve and estimating the asymptotes. 5 + 4x y = x + 3
-
A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere...
-
Romaine Company's Work in Process Inventory account had a $63,000 beginning balance on May 1 ($42,000 of this related to direct materials used during April, while $21,000 related to conversion costs...
-
The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD = 18,000 + 0.4N 350PM + 90PS whereN = number of new homes completed in the...
-
The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric...
-
The following data were selected from the records of Sykes Company for the year ended December 31, 2014. Balances January 1, 2014 Accounts receivable (various customers) . $120,000 Allowance for...
-
The financial statements of Heatwave Athletic Wear Include the following selected data ($ In millions): Sales, $22,500; Net Income, $900; Beginning stockholders' equity, $3,500; Ending stockholders'...
-
Sayeeda provided the following list of balances on 30 April 204, but was not able to provide her bank account balance. $ Capital ........................................... 392,000 Drawings...
-
Find the limit or show that it does not exist. lim tan-(In x)
-
Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f. x if x 1
-
Ray contributes $1000 to an Individual Retirement Account (IRA) semiannually. What will the value of the IRA be when Ray makes his 30th deposit (after 15 years) if the per annum rate of return is...
-
An aerobatic airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. The acceleration of gravity is 9.8 m/s 2 . If her speed is 450 m/s at this time, find...
-
1. For a capacitor with area of 1cm, and gate oxide thickness of 1.5 nm the value of capacitance is 231 micro Farad. For a dielectric with K value of 32, find the value of equivalent oxide thickness....
-
The chief advantage of traditional (kerosene) rocket propellant is that it ignites spontaneously when subject to high enough pressures it has the highest exhaust velocity of any rocket fuel it can be...
-
What is a function of a pressure relief valve? A pressure relief valve has a puppet with effective diameter as 2.5 cm. Given Full flow pressure should be 40 bars more than the cracking pressure....
-
Determine the resultant of the forces shown using a vector triangle, cosine law, and sine law. 40 82 1 120 N 250 N
-
Identify the key features of: (a) Professional service firms. (b) Service shops. (c) Mass service entities. Give three examples of each of these types of service organisations.
-
Les has collected stamps in his spare time for years. He purchased many of his stamps at a price much lower than the current market value. Les recently lost his job as a carpenter. Since his wife...
-
An aquarium 5 ft long, 2 ft wide, and 3 ft deep is full of water. Find (a) The hydrostatic pressure on the bottom of the aquarium, (b) The hydrostatic force on the bottom, (c) The hydrostatic force...
-
A trough is filled with a liquid of density 840 kg.m3. The ends of the trough are equilateral triangles with sides 8 m long and vertex at the bottom. Find the hydrostatic force on one end of the...
-
A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. Estimate the hydrostatic force on (a) The top of the cube (b) One of the sides of the cube.
-
The Malaysian financial system comprises a diversified range of institutions that serve the varied and complex needs of the domestic economy. The banking industry can be divided into the banking...
-
Why is sustainable packaging important? How does the idea of sustainability impact the packaging value chain? How can consumers do their part to help with sustainable packaging? What are three areas...
-
Discussion board what way do you think is the best way to deteremine a stock's valuation?
Study smarter with the SolutionInn App