Use Stokes Theorem to evaluate C F dr. In each case C is oriented counterclockwise
Question:
Use Stokes’ Theorem to evaluate ∫C F · dr. In each case C is oriented counterclockwise as viewed from above, unless otherwise stated.
F(x, y, z) = (−yx2, xy2, exy), C is the circle in the xy-plane of radius 2 centered at the origin.
Step by Step Answer:
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = x 2 sin z i + y 2 j + xy k, S is the part of the paraboloid z = 1 - x 2 - y 2 that lies above the xy-lane, oriented upward
-
Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = ze y i + x cos y j + xz sin y k, S is the hemisphere x 2 + y 2 + z 2 = 16, y > 0, oriented in the direction of the positive y-axis
-
Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = tan -1 (x 2 yz 2 ) i + x 2 y j + x 2 z 2 k, S is the cone x = y 2 + z 2 , 0 < x < 2, oriented in the direction of the positive x-axis
-
The bottle rests at a distance of 3 ft from the center of the horizontal platform. If the coefficient of static friction between the bottle and the platform is s = 0.3m determine the maximum speed...
-
What are some ways an advertiser such as McDonald's could use digital media to enhance its IMC program? Explain.
-
Compare / contrast a sales-type vs operating lease by the lessor; 1. Lease receivable 2. Recognition of interest revenue 3. Gross profit Do not include the the 5 lease classification criteria in your
-
5. Prove that if a> 1/2, then I(x, y) = { ~xYI'" log(x2 + y2) is differentiable on R 2
-
Rams Ramachandran is considering the wisdom of reducing the number of suppliers his firm uses. Currently, Rams uses 25 suppliers to purchase goods worth $2,500,000 per year. To manage the orders and...
-
Help Save & Exit On December 2 , Coley Corporation acquired 1 , 8 0 0 shares of its $ 4 par value common stock for $ 2 3 each. On December 2 0 , Coley Corporation resold 1 , 4 0 0 shares for $ 1 4...
-
Please review the State of West Virginia v. Keith O. Peoples case and respond to the following challenges: 1. The charge against Peoples was fraud, a criminal offense. Compare and contrast a criminal...
-
Sketch the vector field F by drawing a diagram like Figure 5 or Figure 9. F(x, y, z) = y i y F (0, 3) F (2, 2) 2+ F (1, 0) -2 FIGURE 5 F(x, y) =-yi+xj 2.
-
Evaluate the surface integral. Sls xz dS, S is the part of the plane 2x + 2y + z = 4 that lies in the first octant
-
What are the purposes of preliminary analytical procedures? What types of comparisons are useful when performing preliminary analytical procedures?
-
Carrie enjoyed observing wildlife in natural habitats. She wanted to be able to hide at a distance but observe wildlife close up in a variety of circumstances. She visited five different shops and...
-
The operating budget for a certain company shows a net income of $350,000. To achieve this, the company is targeting sales of $637,000, variable costs of $280,280, and fixed costs of $6,720. Compute...
-
What is the output? for (i=0; i
-
a) For silicon, if EG decreases by 0.078 eV, by what fraction does n; increase (assume T is constant at 300K)? b) If the temperature rises from 300K to 600K, by what additional fraction does n;...
-
LOTR (1p) Frodo and Sam need to get to Mordor to destroy the One Ring, but they don't know the exact way. They met a creature called Gollum who claims to know the best way to Mordor. Gollum is...
-
Read each of the following research scenarios and then fill in the correct answer in each column of the table. Number of Number of Number of Number of independent experimental possible variables...
-
In order to get an idea on current buying trends, a real estate agent collects data on 10 recent house sales in the area. Specifically, she notes the number of bedrooms in each house as follows: a....
-
Evaluate the following integrals. dx x* + 2x2 + 1 4
-
Evaluate the following integrals. do 1 + sin 0
-
Evaluate the following integrals. dx
-
Eye Deal Optometry leased vision - testing equipment from Insight Machines on January 1 , 2 0 2 4 . Insight Machines manufactured the equipment at a cost of $ 2 0 0 , 0 0 0 and lists a cash selling...
-
help! ee all photos + Add to o e D C N X Edit & Create Share Table of Contents No sales to an individual customer accounted for more than 10% of revenue during any of the last three fiscal years. Net...
-
Business law A person may have the liability of a partner even though no partnership exists True False
Study smarter with the SolutionInn App