Question: Evaluate the line integral. C y 3 dx + x 2 dy, C is the arc of the parabola x = 1 - y

Evaluate the line integral.

∫C y3 dx + x2 dy, C is the arc of the parabola x = 1 - y2
from (0, -1) to (0, 1)

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Soy dx x dy ... 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 Precalculus Questions!

Q:

Evaluate the line integral. C x ds, C is the arc of the parabola y = x 2 from (0, 0) to (1, 1)

Q:

Evaluate the line integral, where C is the given curve. C (x 2 y + sin x) dy, C is the arc of the parabola y = x 2 from (0, 0) to (, 2 )

Q:

Evaluate the line integral. C xy dx + y 2 dy + yz dz, C is the line segment from (1, 0, -1), to (3, 4, 2)

Q:

Use Greens Theorem to evaluate the line integral. Se (x - 3y) dx + (x + y) dy C: boundary of the region lying between the graphs of x + y = 1 and x + y = 9

Q:

Evaluate the line integral L = dx (xy da + (x - y) dy) over the given curves C where A) C is the arc of the parabola y = x from (0, 0) to (2,4): B) C is the segment of the line y = 2x from 0 x 2):

Q:

Use Greens Theorem to evaluate the line integral. So (e-x/2 - y) dx + (e-y/2 + x) dy C: boundary of the region lying between the graphs of the circle x = 6 cos 0, y = 6 sin 0 and the ellipse x = 3...

Q:

Evaluate the line integral f (1x - y) dx + (x + y) dy, where C = C UC, here C: + y = 4 and C: x + y = 1.

Q:

Totally stuck on this one. Thanks for any pointers! Evaluate the line integral (cos x + 2yz) dx + (siny + 2xz) dy + (z + 2xy) dz, where C is any path from (0, 0, 0) to (7, 7, 0)

Q:

4 1. Evaluate the definite integral -x2 + 2x c - - dx X 2. Differentiate using the Fundamental Theorem of Calculus Part 1. ( 1 , sec2 x dx) 3. Evaluate the definite integral et (et - 3)3 dt

Q:

Can you help me with these? Evaluate the line integral along the given path. ( x 2 + 1 2 + 2 2 ) ds C: r(t) = sin(t)i + cos(t)j + 8k osts_ Evaluate the line integral along the given path. (Round your...

Q:

Give a vector parametric equation for the line through the point (2, 4) that is perpendicular to the line (-4-4t, -2- 5t): L(t) = Preview My Answers Submit Answers You have attempted this problem 3...

Q:

(a) Mary Barett is not sure about the difference between cost accounting and a cost accounting system. Explain the difference to Mary. (b) What is an important feature of a cost accounting system?

Q:

The ratio of the price of good X on the horizontal axis to the price of good Y on the vertical axis is the __________ of the budget line. a. marginal rate b. slope c. marginal utility d. equalization...

Q:

Why is a freeze on emissions not an adequate policy response to a cumulative pollutant such as chlorofluorocarbons? What kinds of policies are more appropriate, and why is it often especially...

Q:

The random variables X and Y in Exercise 1. For the following joint distributions, find the probabilities for the random variable X - Y (the difference), and check that E(X - Y) = E(X) - E(Y) and...

Q:

Evaluate the following. Find all the factorials explicitly. 1. 2. 3. 4. 5. 6. 52 0

Q:

Calculate the given value. b(2; 6, 0.4) (Use the value computed in Exercise 4.)

Q:

Income Statement For the Year Ended on December 3 1 \ table [ [ , J&H Corp.,Industry Average ] , [ Net sales,$ 1 5 , 0 0 0 , 0 0 0 , $ 1 8 , 7 5 0 , 0 0 0

Q:

a . Construct the current balance sheet for the firm using the projected sales figure. ( Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, rounded to...

Q:

6. Estimate the value of the stock using two different models using your calculated estimates (you must provide the models used from text or used in class and show your calculations). 7. Estimate the...