The sine and cosine functions are represented by the two series Differentiate each series to show that
Question:
The sine and cosine functions are represented by the two series
Differentiate each series to show that
and
Transcribed Image Text:
x3 sin (x) = x - 3! x7 5! 7! x2 + 2! x4 46 cos (x) = 1- 4! 6!
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
The derivative of the fi...View the full answer
Answered By
OTIENO OBADO
I have a vast experience in teaching, mentoring and tutoring. I handle student concerns diligently and my academic background is undeniably aesthetic
4.30+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Using calculus, it can be shown that the sine and cosine functions can be approximated by the polynomials sin x x - x3/2! + x5/5! And cos 1 - x2/2! + x4/4!, where x is in radians. (a) Use a...
-
Generalizing Example 2.17(c), by a trigonometric polynomial of degree in the powers of the sine and cosine functions up to degree n. degree n. (a) Use formula (3.86) to prove that any trigonometric...
-
Complete the table (a) Discuss the behavior of the sine function for in the interval [0, 1.5]. (b) Discuss the behavior of the cosine function for in the interval [0, 1.5]. (c) Use the definitions of...
-
Determine whether each function is one-to-one. If it is, find the inverse. f(x) = 4x - 1
-
Mia Antonucci is trying to outline the important points about overhead variances on a class examination. List four points that Mia should include in her outline.
-
(a) Write the mass balance for CaCl 2 in water if the species are Ca 2+ and Cl - . (b) Write the mass balance if the species are Ca 2+ , Cl - , CaCl - , and CaOH + . (c) Write the charge balance for...
-
Describe the various court rulings involving PPACA.
-
A contract calls for a lump-sum payment of $15,000. Find the present value of the contract, assuming that (1) The payment is due in five years and the current interest rate is 9 percent; (2) The...
-
How do organizational change theories such as Lewin's Three-Stage Model and Kotter's Eight-Step Process adapt to accommodate the complexities of globalized, digitally-enabled business environments ?
-
Use Gaussian elimination and three-digit chopping arithmetic to solve the following linear systems, and compare the approximations to the actual solution. a. 0.03x1 + 58.9x2 = 59.2, 5.31x1 6.10x2 =...
-
Using graph paper plot the curve representing y = sin (x) for values of x lying between 0 and /2 radians. Using a ruler, draw the tangent line at x = /4. By drawing a right triangle on your graph and...
-
Decide where the following functions are differentiable: (a) y = 1/1x (b) y = x + 2x. (c) y = tan (x).
-
A water cannon sprays 1 kg/s liquid water at a velocity of100m/s horizontally out from a nozzle. It is driven by a pump that receives the water from a tank at 15C, 100 kPa. Neglect elevation...
-
Aboat is purchased by financing $50,000. The loan is to be paid over a 5-year period with annual payments based on a 15 percent compounding rate per year. Each successive payment is scheduled to be...
-
An easy payment plan offered by a local electronics store for your new audio system calls for payments of $2,000 at the end of year 1, increasing by 15 percent each year thereafter through year 4....
-
Go to the U.S. Department of Housing and Urban Development (HUD) Web site at www.hud.gov and identify the three topics under Homes that are of interest to you. For each of the three topics, tell...
-
Susan gets a job upon completion of her MSME degree with a mechanisms design firm. Her starting salary is $70,000; each successive year she gets a 5 percent raise. Assuming she deposits 10 percent of...
-
You are down on your luck and need a loan, quick! You locate Mr. Loa N. Shark who advertises weekly loans for an almost imperceptibly small rate of only 3 percent, prepaid at the time of loan. You...
-
An article in Quality Engineering [Mean and Variance Modeling with Qualitative Responses: A Case Study (19981999, Vol. 11, pp. 141148)] studied how three active ingredients of a particular food...
-
D Which of the following is considered part of the Controlling activity of managerial accounting? O Choosing to purchase raw materials from one supplier versus another O Choosing the allocation base...
-
Target wants to open a new store in the village of Lock port. Before construction, Targets marketers want to obtain some demographic information regarding the area under consideration. Design a...
-
The county sheriff wants to determine if a certain highway has a high proportion of speeders traveling on it. Design a sampling method to obtain the individuals in the sample. Be sure to support your...
-
A pharmaceutical company wants to conduct a survey of 30 individuals who have high cholesterol. The company has obtained a list from doctors throughout the country of 6600 individuals who are known...
-
The first video I have for your discussion is "Shock and Awe:The Story of Electricity" Part 1 is called "Spark"It runs from 0:00 to about 58 min, on the following link....
-
Find the present value of a 1 0 - year annuity of $ 8 0 0 0 per annum, given the interest rate of 6 % for the first year, 7 % for the second year, 8 % for the third year, 9 % for the fourth year, and...
-
The management accounting team of XYZ plc also came up with some questions and requested you to explain/answer them for the upcoming board meeting: 1. A chain of XYZ plc, BHealthy Ltd is a wholesale...
Study smarter with the SolutionInn App