Evaluate the surface integral S F dS, where F(x, y, z) x 2 i xy j z k and S is the part of the paraboloid z x 2 y 2 below the plane z 1 with upward orientation ...

z fx y x y rx ry 2xi 2y j k because of ...

Evaluate the surface integral. S F dS, where F(x, y, z) = x 2 i

Question:

Evaluate the surface integral.

∫∫_S F • dS,where F(x, y, z) = x² i + xy j + z k and S is the part of the paraboloid z = x² + y² below the plane z = 1 with upward orientation

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

See More Books

Question Posted: Apr 13, 2019 01:38 PM

See More Questions

Evaluate the surface integral S F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward)...
Evaluate the surface integral s (curl F) n dA directly for the given F and S. F as in Prob. 1, z = xy (0 x 1, 0 y 4). Compare with Prob. 1. Data from Prob. 1 F = [z 2 , -x 2 , 0], S the...
Evaluate the surface integral s (curl F ) n dA directly for the given F and S . F = [z 2 , x 2 , y 2 ], S: z = x 2 + y 2 , y 0, 0 z h
Your company, Printers Inc., is considering investing in a new plant to manufacture a new generation of 3D printers developed by the firms research and development (R&D) department. A consulting...
The addition of certain materials called radical inhibitors to halogenation reactions causes the reactions to come to a virtually complete stop. An example is the inhibition by I2 of the chlorination...
The lengths of 45 ropes used at an outdoor recreational centre can be extended by 30% when stretched. The sum of the squares of their stretched lengths is 0.0507km 2 and their natural lengths, x...
In 1951, DuPont began using the chemical perfluorooctanoic acid to manufacture Teflon. Due to the dangerous nature of the chemical, DuPont was given special instructions by its supplier to dispose of...
Marston Marble Corporation is considering a merger with the Conroy Concrete Company. Conroy is a publicly traded company, and its current beta is 1.30. Conroy has been barely profitable, so it has...
17.4 Suppose that, for R R. Let {c} be the Laurent coefficients of in the annulus R < || < S. Prove, by considering the expansions of g and h, that 9(z) = c + cnzn (|z|
Suppose you are a managerial accountant or cost analyst for Donut Desire. You have been asked to make a presentation to management about the status of the company's utility costs. Refer to Exhibits...
Evaluate the surface integral. S (x 2 z + y 2 z) dS, where S is the part of the plane z = 4 + x + y that lies inside the cylinder x 2 + y 2 = 4
Verify that Stokes Theorem is true for the vector field F(x, y, z) = x 2 i + y 2 j + z 2 k, where S is the part of the paraboloid z = 1 - x 2 - y 2 that lies above the xy-plane and S has upward...
From the following particulars, prepare the balance sheet of Rajnikant Fans Limited as on 31st March, current year: Current ratio is 2; Working capital is 40,00,000; Capital block to current asset is...
The right of a water company to lay and maintain water mains along a designated line in the rear of a lot would be called an encroachment. A. B. D easement in gross. accretion right. appurtenance.
Question 16 of 20. Melissa sold her rental home to an unrelated party. She had prior-year unallowed losses of $12,000. Her current-year loss is $2,500. She has taxable income on her Form W-2 of...
Question 6 Select the appropriate response Why are dividends from a mutual insurer not subject to taxation? Because insurance premiums are tax-deductible Because dividends are already subject to...
Vegan Specialty Foods, a grocery merchandiser, purchased goods and paid transportation to bring them to the company warehouse. The transportation cost is known as a. selling expense O b. cost of...
A reader of a statement of cash flows wishes to analyze the major classes of gross cash receipts and gross cash payments from operating activities. Which methods of reporting cash flows from...
Why is culturally responsive teaching important?
A survey of 70 college freshmen asked whether students planned to take biology, chemistry, or physics during their first year. Use the diagram to answer each question. How many of the surveyed...
Suppose p1 = 0 and p2 = 1. Find and graph the probability distribution for the total number inside. Find the expectation and the variance. Unbeknownst to the experimenter, a cell contains two...
Suppose p1 = 0.6 and p2 = 0.8. Find and graph the probability distribution for the total number inside. Find the expectation and the variance (this can be written as the sum of two binomial random...
Suppose p1 = 0.25 and p2 = 0.75. Find and graph the probability distribution for the total number inside. Find the expectation and the variance (this can be written as the sum of two binomial random...
What are the main role of a businessmen to build the good business relation and communication to make the business better everyday?
Let's assume your lab balloons, when filled with air, each had a mass of 3.00 grams. In a variation of your lab activity, you attach one of these balloons to a string such that the distance from the...
Samantha normally requires 1 3 7 0 0 kJ ( about 3 2 7 4 Calories ) of food energy per day. If Samantha consumes 1 4 3 8 5 kJ per day, she will steadily gain weight. How much time must Samantha spend...

Evaluate the surface integral. S F dS, where F(x, y, z) = x 2 i

Question:

Step by Step Answer:

z fx y x y rx ry 2xi 2y j k because of ...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions