Show that sin x < x if 0 < x < 2.
Question:
Show that sin x < x if 0 < x < 2π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 61% (13 reviews)
Consider the function f x sinx which is cont...View the full answer
Answered By
William Otieno
I am a professional tutor and a writer with excellent skills that are important in serving the bloggers and other specialties that requires a great writer. The important aspects of being the best are that I have served so many clients with excellence
With excellent skills, I have acquired very many recommendations which have made it possible for me to survive as an excellent and cherished writer. Being an excellent content writer am also a reputable IT writer with essential skills that can make one turn papers into excellent result.
4.70+
83+ Reviews
354+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
To accurately approximate sin x and cos x for inclusion in a mathematical library, we first restrict their domains. Given a real number x, divide by to obtain the relation |x| = M + s, where M is an...
-
a. Use infinite series to show that cos x is an even function. That is, show cos (-x) = cos x. b. Use infinite series to show that sin x is an odd function. That is, show sin (-x) = -sin x.
-
Show that property (vii) of Theorem 8.4.8 does not hold if x < 0, but that we have |sin x| < |x| for all x R. Also show that |sin x - x| < |x|3/6 for all x R.
-
Over the past 10 years, a bank has experienced the following loan losses on its C&I loans, consumer loans, and total loan portfolio. Using regression analysis on these historical loan losses, the...
-
Explain how a state employee working in the area of public safety may use compensatory time off in lieu of overtime compensation.
-
Alpha Ltd. was incorporated on 1 st July 2000, to take over the business carried on by Gopal with effect from 1 st April 2000. The following is the Profit & Loss A/c for the year ended 31st March...
-
Mineral rights on a gold-producing property are purchased for \($2,300,000.\) A total of 27,000 of gold is expected to be mined and can be sold for \($450/ounce.\) It will cost \($250/ounce\) to mine...
-
Jupiter Investments acquired $40,000 Carlisle Corp., 9% bonds at par value on September 1, 2012. The bonds pay interest on September 1 and March 1. On March 1, 2013, Jupiter sold $40,000 par value...
-
You are running a successful business. At this point you feel that you can add more value in the business by becoming a franchisor. How you think you can provide a supportive business model to your...
-
Discuss the meaning and elements of a valid contract under the Contracts Act 1950. Evaluate the principles related to the transfer of title under the Sale of Goods Act 1957. Recommend the amendments...
-
Let f (x) = 2 - |2x - 1|. Show that there is no value of c such that f (3) - f (0) = f' (c)(3 - 0). Why does this not contradict the Mean Value Theorem?
-
A number a is called a fixed point of a function f if f (a) = a. Prove that if f'(x) 1 for all real numbers x, then f has at most one fixed point.
-
Best Parking, near an airport, incurred the following costs to acquire land, make land improvements, and construct and furnish a small building: Best Parking depreciates land improvements over 25...
-
Instructions: Journalize each transaction below. Prepare all necessary schedules. Changed oil and oil filter on truck, $125 cash Installed equipment on truck, $2,500 cash. Replaced motor on...
-
2. Compute the price index for each year. Use the first year as the base year. What was the inflation rate between the two years. Item Quantity Coffee 20 pounds Tuition Pizza VCR rental Vacation 1...
-
7. Complete the code below. Suppose upon mouse up on a canvas, a rectangle will move 5 pixels to the right. 1234567890123453222222222 Canvas Example Mouse Event Your browser does not support canvas.....
-
Provide a brief description (in your own words) of the five risks that affect mortgage interest rates (default, interest rate, prepayment, liquidity, and legislative). Explain how a lender might look...
-
On its Form 10-K for the year ended December 31, 2015, Bank of America Corp. reported information related to basic earnings per share. Fill in the missing information. Rounding instruction: Round...
-
A job-scheduling innovation that has helped managers overcome motivation and absenteeism problems associated with a fixed 8-hour workday is a concept called flextime. This flexible working hours...
-
Find the market equilibrium point for the following demand and supply functions. Demand: 2p = - q + 56 Supply: 3p - q = 34
-
The plane x + y + 2z = 2 intersects the paraboloid z = x 2 + y 2 in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin.
-
The plane 4x - 3y + 8z = 5 intersects the cone z 2 = x 2 + y 2 in an ellipse. (a) Graph the cone and the plane, and observe the elliptical intersection. (b) Use Lagrange multipliers to find the...
-
Find the maximum and minimum values of f subject to the given constraints. Use a computer algebra system to solve the system of equations that arises in using Lagrange multipliers. (If your CAS finds...
-
Experiential Activity. As domestic companies begin to expand overseas, they face many challenges. Among these is deciding how to compensate the people who fill top management positions in the global...
-
How could you proceed to find out how many of the eligible people would actually join the new chapter? Be specific about your methods of gathering data.
-
Discuss the role of linear programming in capacity planning and how it can be used to determine optimal production levels.
Study smarter with the SolutionInn App