Question: Evaluate the integral for ydx + z*dy + xdz, where C is the triangular closed path joining the points (0, 0, 0), (0, a,

Evaluate the integral for ydx + z*dy + xdz, where C is

Evaluate the integral for ydx + z*dy + xdz, where C is the triangular closed path joining the points (0, 0, 0), (0, a, 0) and (0, 0, a) by transforming the integral to surface integral using Stoke's Theorem.

Step by Step Solution

★★★★★

3.45 Rating (148 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

Evaluate the integral for the given data. Describe the kind of surface. Show the details of your work. F = [e y , e x , 1], S: x + y + z = 1, x 0, y 0, z 0

Evaluate the integral for the given data. Describe the kind of surface. Show the details of your work. F = [e y , -e z , e x ], S: x 2 + y 2 = 25, x 0, y 0, 0 z 2

Evaluate the integral for the given data. Describe the kind of surface. Show the details of your work. F = [tan xy, x, y], S: y 2 + z 2 = 1, 2 x 5, y 0, z 0

The cosmic radiation also contains neutrinos and antineutrinos in an extremely wide energy range. Neutrinos propagate on cosmological distances without attenuation due to their very small...

Evaluate the following integrals using the method of your choice. Assume normal vectors point either outward or in the positive z-direction. srds, where S is the cylinder x + y = 4, for 0 z 8, and...

A psychologist wants to evaluate three therapies for treating people with a gambling addiction. A study is designed to randomly select 25 patients at clinics using each of the three therapies. After...

A manufacturer has been selling 50,000 units per year of a certain product. The price of this product is $20 and the variable costs associated with the product are $12 per unit. The manufacturer is...

The Arnold Diffusion Cell shown in Figure 26.5 is a simple device used to measure gas-phase diffusion coefficients for volatile substrates in air. In the present experiment, liquid acetone is loaded...

Evaluate the following integrals using tabular integration (refer to Exercise 71). a. x 4 e x dx b. 7xe 3 xdx c. d. (x 3 - 2x) sin 2x dx e.

Consider Problem 5.9 except now the combined volume of the oil bath and the sphere is V tot = 1m 3 . The oil bath is well mixed and well insulated. (a) Assuming the quenching liquids properties are...

At t 0, a particle located at the origin has a velocity of 40 m/s at 45. At t 3.0 s, the particle is at x 100 m and y 80mandhasavelocityof30m/sat50.Calculate( a ) the average velocity, and ( b )

The Austin Manufacturing Company wants to develop a cost estimating equation for its monthly cost of electricity. It has the following data: Month Cost of Electricity Direct Labor Hours January...

12. Portfolio Variance (LO2, CFA5). Use the following information to calculate the expected return and standard deviation of a portfolio that is 50 percent invested in 3 Doors, Inc., and 50 percent...

Can you calculate the NPV, IRR, and Payback for the following information: The minimum price for a condominium unit is $300,000, and buyers expect a high-quality project. Response to the initial...

Diman, lessor leased a lot to Dili, lessee for 15 years beginning January 2019, subject to the following terms and conditions: Mothly rental 200000 Advance rental for 2 years 480000 Security deposit...

1. Alejandro knows that he needs $32,100 per year to live comfortably now. He plans to retire in about 39 years and plans to be retired for about 23 years after that. Determine... a. [2 pts] how much...

undefined AirQual Test Corporation Flexible Budget Performance Report For the Month Ended February 28 Actual Flexible Results Budget Planning Budget Jobs 124 Revenue $ 30,370 Expenses: Technician...

Draw two scatterplots, one for which r = 1 and a second for which r = 21.

Prove the CauchySchwarz inequality.

Solve y' + y = (x + 1) 2 , y(0) = 3 by the improved Euler method, 10 steps, with h = 0.1, Determine the errors.

Compute the condition number (corresponding to the l -vector norm) of the coefficient matrix: In Prob. 21 Data from Prob. 21 Do 3 steps without scaling, starting from [1 1 1] T . 4x 1 - x 2 = 22.0...

In determining a (1 a) percent confidence interval for the mean of a normal population, assuming that the variance is known, how large a sample is needed to make the confidence interval 1/3 as large...

In a sample of 100 items from a production process, 4 were found to be defec tive. Assuming that the production process behaves like a Bernoulli process, determine 95 percent and 99.7 percent...

Prove that the kth sample moment is an unbiased estimator of the &th popu lation moment of a random variable (provided, of course, that the kth pop ulation moment exists).