Find the normal vector N() to r() = R (cos , sin ), the circle of radius
Question:
Find the normal vector N(θ) to r(θ) = R (cos θ, sin θ), the circle of radius R. Does N(θ) point inside or outside the circle? Draw N(θ) at θ = π/4 with R = 4.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
We first find the unit tangent vector We have Hence r0 R sin 8 cos 0 We compute T0 and its length T0 ...View the full answer
Answered By
Ajeet Singh
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions.
I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life.
I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge.
I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields.
Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a teacher. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students.
4.90+
7+ Reviews
15+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Explain why securitization led to an erosion of lending standards.
-
In its fiscal 2022, data storage company NOTA Inc. reported that it had 267.9 million shares outstanding, selling at a price of around $68 per share.On the company's balance sheet, the value of the...
-
Explain mobile banking platforms, the main types of mobile banking, and the main contributions or services of the mobile banking platforms to the banking sector. Give examples.
-
Patients who undergo chronic hemodialysis often experience severe anxiety. Videotapes of progressive relaxation exercises were shown to one group of patients and neutral videotapes to another group....
-
Cordero Corporation has an employee stock-purchase plan which permits all full-time employees to purchase 10 shares of common stock on the third anniversary of their employment and an additional 15...
-
Evaluate the expression. Use the matrix capabilities of a graphing utility to verify your answer. 1. 2. -2 2][2 -2 4 3 6 - 3 5 -1] -1 -3 4 -1 -3 1 -2
-
Police in Albemarle County, Virginia, were on the lookout for a stolen orange and black motorcycle that had eluded them in two previous traffic incidents. Officer David Rhodes drove past the home of...
-
Seth Feye established Reliance Financial Services on July 1, 2014. Reliance Financial Services offers financial planning advice to its clients. The effect of each transaction and the balances after...
-
1. Which of the following formulas can be considered an algorithm for computing the area of a triangle whose side lengths are given positive numbers a, b, and c? Explain these. a. Sp(p-a)(p - b)(pc),...
-
Plot the clothoid r(t) = (x(t), y(t)), and compute its curvature (t) where = f*sin", du. x(t) = y (t) = f cos COS u 1 - du 3
-
Find the normal vector N(t) to r(t) = (4, sin 2t, cos 2t).
-
Know the criteria for diagramming discriminated contingencies, and be able to recognize when there is and is not an S D .
-
In 2012, an article in the New York Times observed that: The financial consequences of a Greek departure from the euro monetary union could be severe. a. What does the article mean by a Greek...
-
The following statement appeared in a feature in the New York Times that provides an overview of the Federal Reserve System: The federal funds rate is set by the Feds Open Market Committee, composed...
-
In addition to commercial banks, other financial institutions, such as Fannie Mae, Freddie Mac, and the Federal Home Loan Banks borrow and lend in the federal funds market. (The 12 Federal Home Loan...
-
During the financial crisis of 20072009, the Fed set up the following temporary lending facilities: the Primary Dealer Credit Facility, the Term Securities Lending Facility, the Commercial Paper...
-
In 2010, arguing that the Chinese yuan was overvalued versus the U.S. dollar, President Barack Obama said he wanted to make sure our goods are not artificially inflated in price and their goods are...
-
William co. reported $550,000 in financial book income before taxes for year 3 tax depreciation for the year exceeded book depreciation by $50,000 the tax rate for year 3 was 30% and congress enacted...
-
Before the 1973 oil embargo and subsequent increases in the price of crude oil, gasoline usage in the United States had grown at a seasonally adjusted rate of 0.57 percent per month, with a standard...
-
Solve each system of equations. If the system has no solution, say that it is inconsistent. x + 2y = 4 2 + 4y 3D 8
-
Solve each system of equations. If the system has no solution, say that it is inconsistent. %3D 7 - y = |9 %3D 21
-
Solve each system of equations. If the system has no solution, say that it is inconsistent. S 2x 3y = -1 10x + y = 11
-
1. Cost flow methods The following three identical units of Item P401C are purchased during April: Apr. 2 Apr. 15 Apr. 20 Total Average cost per unit ($690 3 units) Item Beta Units Cost Purchase 1...
-
What is the difference in tax rates on long-term versus short-term capital gains? Explain briefly
-
In 2023, Mary Jane and her husband Peter, both architects, come to your accounting firm to seek help. They tell you, "We are concerned we're paying more tax than we owe. Our last accountant said we...
Study smarter with the SolutionInn App