Verify that Greens Theorem is true for the line integral C xy 2 dx x 2 y dy, where C consists of the parabola y x 2 from ( 1, 1) to (1, 1) and the line segment from (1, 1) to ( 1, 1)

Question: Verify that Greens Theorem is true for the line integral C xy 2 dx - x 2 y dy, where C consists of the

Verify that Green’s Theorem is true for the line integral ∫_Cxy² dx - x² y dy, where C consists of the parabola y = x²from (-1, 1) to (1, 1) and the line segment from (1, 1) to (-1, 1).

Step by Step Solution

★★★★★

3.34 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

C rt titj 1 t 1 C rt tij 1 t 1 Then xy dx ... View full answer

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 Precalculus Questions!

Use Greens Theorem to evaluate` where C is the triangle with vertices (0, 0), (1, 0), and (1, 3). VI + x dx + 2xydy

If C is any piecewise-smooth simple closed plane curve and f and g are differentiable functions, show that C f (x) dx + g(y) dy = 0.

Evaluate the surface integral. S F dS, where F(x, y, z) = xz i - 2y j + 3x k and S is the sphere x 2 + y 2 + z 2 = 4 with outward orientation

pleas3 typ3 the final answ3rs. 1. & 2 1. [-/5 Points] DETAILS LARCALC11 15.4.015. Use Green's Theorem to evaluate the line integral. J . 2 x y dx + ( x + * ) dy C: boundary of the region lying...

For the following problems, use the Green's theorem to evaluate the given line integral. (a). fc (x - 2y) dx + (2x 14) dy, where C is the circle x + y = 4 (b). fc 2xy dx + 3xy dy, where C is the...

1. [-/0.4 Points] DETAILS LARCALC11 15.4.005. Verify Green's Theorem by evaluating both integrals ON aM ax ay dA for the given path. C: boundary of the region lying between the graphs of y = x and y...

solve the answers handwritten but please type all the final answers together in the different section after solving. Thanks. 1. [-/1 Points] DETAILS SCALCET9 16.4.005.EP. Consider the following line...

Your last submission is used for your score. 1. [-/1 Points] DETAILS LARCALC11 15.4.008. Verify Green's Theorem by evaluating both integrals 10 v2 ax + x 2 dy = Jel ON aM dA ay for the given path. C:...

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Student Exploration: Photosynthesis Lab Directions: Follow the instructions to go through the simulation. Respond to the questions and prompts in the orange boxes. Vocabulary: carbon dioxide,...

If 200 is added to a positive integer I, the result is a square number. If 276 is added to to the same integer I, another square number is obtained. Find I.

A ( n ) _ _ _ _ _ _ is a mutual fund in which the sponsoring investment company sells shares only when the fund is originally organized.closed - end fundopen - end fundexchange - traded fund ( ETF )...

How could the principle of allocation of resource over time be applied to environmental resources such as the atmosphere and the oceans? Would the same kind of conclusions about optimal depletion...

Find the number of ways the following can be ordered. List three of the possible orderings. 1. The order of finishing by three horses (named Speedy, Blinky, and Sparky) in a race. 2. The items in a...

What is the probability that the second patient gets the right medication conditional on the first getting the right medication? Are the two events independent? Each of five patients has been...

What is the probability that the second patient gets the wrong medication conditional on the first getting the wrong medication? Are the two events independent? Each of five patients has been...

Suppose a school borrows R300 000,00 to purchase a new bus. They repay the loan with payments of R10 180,59 at the end of each month. The interest rate is 13,5% per year, compounded monthly. The...

Compound Interest Question 20, 8.4.44 HW Score: 81.84% 1.67 of 24 points Points: 0 of 1 Save 1746. a manodonary 144,736 in gold and supplies Due to a disagreement over the method of payment, he was...

The Ramjah Corporation had $200,000 of taxable income from operations this year. What is the company's federal income tax bill for the year? Assume that the firm receives an additional $40,000 of...