Show that S sin(x) 1 + cos(x) d.x NI: 2 Justify your answer fully. Let f(x)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Show that S sin(x) 1 + cos²(x) d.x NI: 2 Justify your answer fully. Let f(x) be continuous, and a be any constant. Explain carefully why [* ƒ(x) dx = ["* ƒ(a − x) dx. (c) [4 marks] Find π S™ x sin(x) 1+ cos²(x) dr. The results of parts (a) and (b) above can help. You may use without proof the identities sin ( + 0) = sin(0) and cos(π + 0) = = cos(0). Show that S sin(x) 1 + cos²(x) d.x NI: 2 Justify your answer fully. Let f(x) be continuous, and a be any constant. Explain carefully why [* ƒ(x) dx = ["* ƒ(a − x) dx. (c) [4 marks] Find π S™ x sin(x) 1+ cos²(x) dr. The results of parts (a) and (b) above can help. You may use without proof the identities sin ( + 0) = sin(0) and cos(π + 0) = = cos(0).
Expert Answer:
Answer rating: 100% (QA)
To integrate integral sinx1 cosx dx we can use a trigonometr... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Consider the trigonometric series a0 2 + X r=1 (ar cos rx + br sin rx) where a0, a1, a2, . . . and b1, b2, . . . are constants and suppose that f(x) is a periodic function of x with period 2. (a)...
-
.QUESTION .all the questions to be thoroughly explained Invocations of its type operations involve no writes to persistent memory and no output to clients. Concurrent processes may invoke the object....
-
In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...
-
Solve the triangles with the given parts. a = 7.86, b = 2.45, C = 2.5
-
Mechanical calculators, such as those designed by Pascal and Leibniz, were first developed in the 1600s. However, they were not widely used in businesses and laboratories until the 1800s. Why was...
-
The trial balance for Prima Consultants Company on December 31, 2010, appears below. The following information is also available: a. Ending inventory of office supplies, $97 b. Prepaid rent expired,...
-
A uniform magnetic field exists in a cubic volume of space with a \(50-\mathrm{mm}\) side length. If the magnetic energy stored in this volume is \(12 \mathrm{~J}\), what is the magnetic field...
-
Here are selected 2017 transactions of Akron Corporation. Jan. 1 Retired a piece of machinery that was purchased on January 1, 2007. The machine cost $62,000 and had a useful life of 10 years with no...
-
Which OSI layer is responsible for connection - oriented communication?
-
Julio and Milania are owners of Falcons Corporation, an S corporation. They each own 50 percent of Falcons Corporation. In year 1, Julio and Milani received distributions of $20,000 and $10,000,...
-
Air, at an initial pressure of 0.4 MPa and temperature of 42C, entering a duct has a velocity of 370 m/s at the inlet. At the outlet, the pressure of the air drops to 0.3 MPa and the temperature...
-
Identify and list Walmart Health Clinics' dimensions ( products, clinical market section they are in, clinical functions offered, clinical technologies used, clinic geographic locations): i. Products...
-
1.At the beginning of Caste , author Isabel Wilkerson compares American racial hierarchy to a dormant Siberian virus. What are the strengths of this metaphor? How does this comparison help combat the...
-
How do the ministry of education Ghana write a letter to the port of Ghana to waive customs duty of computers donated to a nonprofit organization for schools in Ghana?
-
Explain the sustainability characteristics of HRM practices and their relevance to the sustainability problems and solutionsbased on chapters 4 and 5 of the book by Mariappanadar S 2019, Sustainable...
-
HOW TO BEHAVE ETHICALLY IN A WORLD OF FADS Kimberly A. Schreck* and Victoria A. Miller Pennsylvania State UniversityHarrisburg, PA, USA What is the name of journal, how many authors did this study...
-
Explain why corporations issue stocks. Are corporations required to pay dividends? Explain. Why do corporations pay dividends? What are retained earnings, and why are they important. Explain your...
-
Show that, given a maximum flow in a network with m edges, a minimum cut of N can be computed in O(m) time.
-
The vertical line test was presented, which tells whether a graph is the graph of a function. Does this test apply to functions of two variables? Explain.
-
Suppose that the profit (in hundreds of dollars) of a certain firm is approximated by P(x, y) = 1500 + 36x - 1.5x 2 + 120y - 2y 2 , where x is the cost of a unit of labor and y is the cost of a unit...
-
Determine whether each improper integral converges or diverges, and find the value of each that converges. .00 J2 1 x ln x dx
-
Online electronics retailer Kogan has announced an initial public offering to raise $50 million, with plans to list on the ASX at the end of June. Kogan, founded in 2006, said it would have a market...
-
For each company below, fill in the missing data. Each company is independent. Sales Beginning finished goods Cost of goods manufactured Ending finished goods Cost of sales Income Statement Company X...
-
Innovative Computers Pty Ltd began manufacturing inexpensive computers for the student market on 1 July 2018. The variable costs of manufacturing each computer are as follows. During the year ended...
Study smarter with the SolutionInn App