Question: Evaluate the line integral. (int_{C} y^{2} d x+z^{2} d y+left(1-x^{2}ight) d z), quarter of the circle of radius 1 in the (x z)-plane with center

Evaluate the line integral.

$\int_{C} y^{2} d x+z^{2} d y+\left(1-x^{2}ight) d z$, quarter of the circle of radius 1 in the $x z$-plane with center at the origin in the quadrant $x \geq 0, z \leq 0$, oriented counterclockwise when viewed from the positive $y$-axis

Step by Step Solution

★★★★★

3.46 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Step 1 Calculate the integrand beginaligned mathbfrt cos ... 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 Calculus 4th Questions!

Watch the video on how typical credit scores are calculated https://www.youtube.com/watch?v=snujslCkQBY Form groups, discuss 1. The variables that you think should actually be used for the...

find one example from the news media that you can link --either videos, podcasts, articles, reports, television broadcasts, etc.--that exhibit what you take to be a valid and sound deductive argument.

Use the surface integral in Stokes Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = yi + xzj + x 2 k C: The boundary of the triangle cut from the...

galindez (cmg3849) - Homework 13 (7.5,7.6,8.1,8.2) - tegtmeyer - (54045) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page - find all choices...

806 Chapter Fifteen OPTIMIZATION: LOCAL AND GLOBAL EXTREMA If f is not continuous or the region R is not closed and bounded, there is no guarantee that f achieves a global maximum or global minimum...

Calculus 3 (Math-UA-123) For the regions W s hown in Problems 30- 32, write the limits o f integratio n for fw d \\1 in the fo llowing coordinates: 36. Find the volu the plane z = (a) 37. Find the vo...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

s 1. Find the center of mass of the following plane region with variable density. Describe the distribution of mass in the region: The upper half (y 0) of the y 2 2 disk bounded by the circle x + y...

14.1 SUMMARY . A vector-valued function is a function of the form A sample is shown fort cate with a diagram the position vectors r ( t ) = (x (1 ) . y (1), z(1) > = x(1)i + >(1)j+ z(1)k (10 - DZ + 1...

Prepare the journal entries required for Rocco State University to record the following transactions. 1. Tuition and fees assessed total $3,000,00080% is collected, scholarships are granted for...

Joe, Jack, and Tom are both (27-30) years old and work in different places. Each of them wanted to make an investment with their own money based on their own savings. They both have the same amount...

The risk - return relationship states that a riskier investment should demand a return. Blank 1 Blank 1 A

The U.S. Supreme Court eventually decided Johnson Controls policy was discriminatory and a violation of Title VII.94 The court focused on the issue of men capable of reproduction not being covered by...

Evaluate the following integrals or state that they diverge. e* dx

Evaluate the following integrals or state that they diverge. 2* dx X-

Evaluate the following integrals or state that they diverge. dx Vx X.

The following table presents the long-term liabilities and stockholders equity of Information Control Corp. one year ago: Long-term debt $ 65,800,000 Preferred stock 4,080,000 Common stock ($1 par...

Q . 4 The specific haet capacity of toluene is given by following equation: C p = 2 0 . 8 6 9 + 5 . 2 9 3 1 0 - 2 T Where C p is in B t u l b m o l F and T is in F . Express the equation in cal / (...

Peter was audited by the IRS and an audit adjustment of $50,000 was made. On appeal to the IRS, the Appeals Officer held against Peter. What are Peters options to further appeal the IRS decision?