Find a rectangular equation of the portion of the cycloid given by the parametric equations x =
Question:
Find a rectangular equation of the portion of the cycloid given by the parametric equations x = a(θ - sin θ) and y = a(1- cos θ), 0 ≤ θ ≤ π, as shown in the figure.
Transcribed Image Text:
2a 0 an X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (3 reviews)
y a1 cos 0 cos 0 8 arccos osa y ...View the full answer
Answered By
Rustia Melrod
I am a retired teacher with 6 years of experience teaching various science subjects to high school students and undergraduate students. This background enables me to be able to help tutor students who are struggling with the science of business component of their education. Teaching difficult subjects has definitely taught me patience. There is no greater joy for me than to patiently guide a student to the correct answer. When a student has that "aha!" moment, all my efforts are worth it.
The Common Core standards are a useful yardstick for measuring how well students are doing. My students consistently met or exceeded the Common Core standards for science. I believe in working with each student's individual learning styles to help them understand the material. If students were struggling with a concept, I would figure out a different way to teach or apply that concept. I was voted Teacher of the Year six times in my career. I also won an award for Innovative Teaching Style at the 2011 National Teaching Conference.
4.90+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The curve given by the parametric equations is called a strophoid. (a) Find a rectangular equation of the strophoid. (b) Find a polar equation of the strophoid. (c) Sketch a graph of the strophoid....
-
Find the polar equation for the curve described by the following Cartesian equations. a. y = 45 b. x2 + y2 = 36 c. x2 - y2 = 1 d. 4xy = 1 e. y = 3x + 2 f. 3x2 + 4y = 2 g. x2 + 2x + y2 - 4y - 25 = 0...
-
The position of a projectile fired with an initial velocity v 0 feet per second and at an angle to the horizontal at the end of t seconds is given by the parametric equations See the illustration....
-
The surveyor's formula (also called the Shoelace formula or Gauss's area formula) is a handy tool for computing the area of polygonal regions in the plane. For a triangle, it says the following:...
-
The 2010 Census reports that 30 states had at least one city with a population of 250,000 or more. The table below shows a more detailed breakdown: No. of cities No. of cities w/pop 2250,000 State...
-
A manufacturer is studying the effects of cooking temperature, cooking time, and type of cooking oil for making potato chips. Three different temperatures, 4 different cooking times, and 3 different...
-
Discuss the employment-at-will doctrine.
-
After closing revenues and expense, Natraj Company shows the following account balances. Dividends...................$22,000 Retained Earnings ................70,000 Income Summary...
-
Caltex Ltd's cost of equity is 15 percent, and its "after-tax" cost of debt is 5 percent. If the company is financed with 40 percent ordinary shares, what is the weighted average cost of capital for...
-
In Exercises match the polar equation with the correct graph. [The graphs are labeled (a), (b), (c), (d), (e), and (f).] (a) (b) (c) (d) (e) (f) N * 21 RIN
-
Consider the cornu spiral given by (a) Use a graphing utility to graph the spiral over the interval (b) Show that the cornu spiral is symmetric with respect to the origin. (c) Find the length of the...
-
Your friends, knowing you have studied economics, have started asking you for some advice. Briefly explain a government assistance option that may be available to them in each of the following...
-
Briefly reflect and describe the most important learning experience(s) gained by playing the Extended and Advanced Manufacturing Games
-
Conclusion on project management planning on renovation of modular kitchen by discussing the following- Project description and objective Project stakeholder analysis table Power/Interest Grid Scope...
-
Provide a description of chipotle, its products and services, recent events that are relevant to the valuation of the company, and recent trends in sales and earnings.
-
What part of the Reports center offers customizable professional-style report packages complete with cover page, table of contents, preliminary pages, reports, and end notes?
-
What physical or combined physical/financial measures of activity are sometimes disclosed in the notes to the financial statements?
-
A rigid tank A of volume 0.6 m3 contains 3 kg water at 120oC and the rigid tank B is 0.4 m3 with water at 600 kPa, 200oC. They are connected to a piston cylinder initially empty with closed valves....
-
7. Baladna wants to analyze process that includes delivery by suppliers, production inside the company, transportation to to its customers and information systems. Then it also wants to find out...
-
Of all rectangles of area 100, which one has the minimum perimeter?
-
Determine whether Rolles Theorem applies to the following functions on the given interval. If so, find the point(s) that are guaranteed to exist by Rolles Theorem. f(x) = x(x - 1) 2 ; [0, 1]
-
Sketch a curve with the following properties. f' < 0 and f" < 0, for x < 3 f' < 0 and f" > 0, for x > 3
-
Purpose of loan/loan structure/loan details Purpose of Loan: Home Loan Product: Commonwealth Bank Bridging Loan Purchase property value: $950,000 LVR: 70% Purchaser/Borrower Contribution: $235,000...
-
You sell your 8,070 shares of IBM stock today (October 3rd) for $153.31 per-share. You had purchased these shares a few months ago for $103.40 per-share. How much tax will you owe on this sale given...
-
Cullumber Printing Corp. uses a job-order cost system. The following data summarize the operations related to the first quarter's production: 1. Materials purchased on account were $192,900, and...
Study smarter with the SolutionInn App