Question: a) Calculate [(x +2y)dx + (4x + x) dy] by Green's theorem where C is the boundary of the region bounded by y =

a) Calculate [(x +2y)dx + (4x + x) dy] by Green's theorem 

a) Calculate [(x +2y)dx + (4x + x) dy] by Green's theorem where C is the boundary of the region bounded by y = 0, y = 2x and x + y = 3.

Step by Step Solution

★★★★★

3.50 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x2y dx 4x x dy where cis bounded by Cuver By Grems theoTem ... View full answer

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 Mathematics Questions!

Q:

Find the area of the region bounded by y = sech x, x = 1, and the unit circle. y = sech x 1 ?+ y = 1

Q:

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

Q:

Evaluate the line integral, where C is the given curve. C (x/y) ds, C: x = t 3 , y = t 4 , 1

Q:

Write a good mission statement for Customer Service Goals. Then summarize your considerations for the mission statement: your responsibilities, planning, goals, values, and principles.

Q:

17. Given ab = 64 and the LCM(a, b) = 16, what is the GCD(a, b)? 18. Use the Euclidean algorithm to find the greatest common divisor of 3276 and 452. 19. Using the prime factorization of the numbers,...

Q:

please help me ASAP solve them by doing the right-hand side and then the left-hand side. please help me ASAP so I'm not sure what is the correct answer some of my friends got 7/12 others got pi/5 and...

Q:

Use the transformation x = 1 + 5u, y = 2 + 2v to evaluate the integral. 8 ( x - 1 ) 2 dA , " 8(x-1)2 dA, where R is the region bounded by 4x2 - 8x + 25y2 - 100y = -4

Q:

What is the list of the outcomes in the event {X = 13}

Q:

Let f x y z x y z and x s t y s t and z s t a Calculate the primary derivatives of 32 dx 4x y dy 2x4y 38 38 af af 8z dx s b Calculate dy s dz as c Use the Chain Rule to compute af ds In eller 3

Q:

The infinite series cos(nz) n7 n=1 is conditionally convergent is divergent by comparison test is absolutely convergent is divergent by divergent test

Q:

According to the theory of planned behavior (TPB), consumers' attitudes will predict their behavior, so long as three conditions are met. What are those conditions? low perceived control, high...

Q:

When the product sold is actually a service three additional P s should be considered in the marketing mix. They are:

Q:

Mike, a real estate broker in California, recently inherited a farm from his deceased uncle and plans to sell the farm to the first available buyer. His uncle purchased the property 12 years ago for...

Q:

Lisa and John are in the business of breeding beavers to produce fur for sale. They recently purchased a pair of breeding beavers for $30,000 from XUN, Inc., and agreed to pay interest at 10% each...

Q:

The following items may appear on a ban statement: 1. NSF check 2. Bank correction of an error from posting another customers check to the companys account 3. Loan proceeds 4. EFT deposit Using the...

Q:

The funded status of Hilton Paneling Inc.'s defined benefit pension plan and the balances in prior service cost and the net gainpensions, are given below. Retirees were paid $270,000 and the employer...

Q:

Pan Li Ltd. is a Canadian private corporation owned 100% by David Benjamin. The corporation operates an active business. Its most recent statement of financial position is summarized in the table...

Q:

1. Describe three types of learning theories and their application to the counselling process

Q:

8. Use Green's theorem to evaluate (y - sin(y) cos(y) ) dx + 2xsin (y) dy, where C is the counterclockwise path around the region bounded by x = -1, y = x -2, and y = 4 - 202

Q:

Directions: Answer these questions without using your calculator. 1. ( 3 x - 2x + 3 ) dx = (A) x-x2 + C (B) 3x - x2 + 3x + C (C) x3-x2+ 3x + C (D) - (3x2 - 2x + 3)2 + C (E) none of these 2. x - 1 dx...

Q:

Thankyouuuu please show complete solution 8. Evaluat 3 tan x - 2cos x dx. COS X A. 3 sec x + 2 sin x + C B. 3 sec x - 2 sin x + C C. -3 secx + C D. 2 sinx + C 9. Evaluate (cot2x + 2 tan? x - 5) dx....

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \f21. tan x sec x dx 22 . tan'0 sec*0 de 61. If "/4 tan'x sec x dx = I, express the value of of* tan'x sec x dx in terms of 1. 23. tan x...

Q:

Please #1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 \f21. tan x sec x dx 22 . tan'0 sec*0 de 61. If "/4 tan'x sec x dx = I, express the value of of* tan'x sec x dx in terms of 1. 23. tan x...

Q:

(9) Use Green's Theorem to evaluate the following line integrals (a) y'dx + x'dy where C is the circle x2 + y? = 4. C (2y + V9 + x3) dx + (5x + etan *9) dy where C' is the circle x2 + y = 25. (b) C...