Question: a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given.


b. Evaluate |r'(t)|.


c. Convert the line integral to an ordinary integral with respect to the parameter and evaluate it.Jo (x + y2) ds; C is the circle of radius 4

Jo (x + y2) ds; C is the circle of radius 4 centered at (0, 0).

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a To find a parametric description for the circle C of radius 4 centered at 00 we can use polar coor... 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 1st Questions!

Q:

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the line integral to an ordinary integral with respect to the parameter and...

Q:

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the line integral to an ordinary integral with respect to the parameter and...

Q:

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the line integral to an ordinary integral with respect to the parameter and...

Q:

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the line integral to an ordinary integral with respect to the parameter and...

Q:

a. Find a parametric description for C in the form r(t) = (x(t), y(t)), if it is not given. b. Evaluate |r'(t)|. c. Convert the line integral to an ordinary integral with respect to the parameter and...

Q:

Find the flux of the vector field F = ( - y,x, 1) across the cylinder y = 3x", for 0 Sx$ 3, 0 szs 4. Normal vectors point in the general direction of the positive y-axis. Parametrizationsing u = x...

Q:

I don't understand how to set up C1, C2, C3. The integral is equal to zero since it's conserved, I understand that part. 2208-MATH-2326-088/089/900-CALCULUS III Mayan Jiva & | 11/17/20 2:02 PM...

Q:

from pakistan Q2: (a) Evaluate ( x + y) ds where C is the straight line segment x = t, y = (1-1), z= 0 from (0, 1, 0 ) to ( 1, 0,0) (b) Define line integral (8+2=10) Q3: (a) Find the centre and...

Q:

If you get more than 3 wrong, you will be asked to resubmit the wrong answers and show your work. The teacher will then look at your work and give you advice on what you are doing wrong. For problems...

Q:

Question 20 and 32 please es/117742/files/folder/Homeworks?preview=39002051 Carmen X 840b2c..: "Towar... SECTION 3.2 EXERCISES Review Questions 1. How does a line integral differ from the...

Q:

Implement a pool of database connections (max 5) in Java over a database of your own choice (eg. MySQL) using the Object Pool design pattern. Use a singleton object to control the number of...

Q:

Katie has recently accepted a position as laboratory supervisor at a large suburban hospital. Although she is thrilled with her new position and working environment, Katie's laboratory manager has...

Q:

If the yield curve is downward sloping, the yield on a 2 pts 1 0 - year Treasury bond must be less than the yield on an 8 - year corporate bond. True False

Q:

1. You are a new coach for a high school basketball team. You have just selected your team after rigorous tryouts. You believe that you have a wide range of talent and ability on the team, and you...

Q:

The covariance of two variables has been calculated to be 150. What does the statistic tell you about the two variables?

Q:

Determine the quartiles of the household debt (DEBT) of the respondents in the 2013 survey. What information did you extract?

Q:

Calculate the quartiles of household assets (ASSET). Interpret these statistics.

Q:

Crane Corporation accumulates the following data relative to jobs started and finished during the month of June 2025. Overhead is applied on the basis of standard machine hours. Three hours of...

Q:

find the inverse f(x) = 2x+6 please include the steps and work for this. thank you

Q:

On January 1, 2021, a company issues $770,000 of 10% bonds, due in nine years, with interest payable semiannually on June 30 an December 31 each year. Assuming the market interest rate on the issue...