Question: 19. using the stone's theorem, calculate the line integral Using the Stokes theorem, calculate the line integral /Fdr C Where F : (233;, $2 +

19. using the stone's theorem, calculate the line integral

Using the Stokes theorem, calculate the line integral /Fdr C Where F : (233;, $2 + y2 + 22,112) and C is the boundary of the parallelogram with vertices (0,0,1), (0,1,0)7 (270, 1), and (2172)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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!

\"AIll COmputdlional Steps sSnouilua pe snowrn 1or tul creait\" Overview Your task is to explore how Stokes' Theorem can be applied to the integral ]VXF-(!S s where S is the surface z = 4 x y2 with z...

1. Green's Theorem relates a line integral to a double integral over some region while Stoke's Theorem relates a line integral to a surface integral. Scientist has developed a tool called planimeter...

1 E ) Let C be a closed curve oriented counterclockwise that is a rectangle in two dimensions with vertices ( 0 , 0 ) , ( c + 2 , 0 ) , ( c + 2 , d + 1 ) , and ( 0 , d + 1 ) in the x y - plane. Using...

Find the surface area of the surface cut from the bottom of the paraboloid x 2 y 2 - z = 0 by the plane z = 4 . [ 8 pts ] Find the flux of the velocity vector field vec ( F ) = 0 , y z , z 2 >...

Let C2 be the oriented curve parametriza r(t)= cost V2 ,sint, - cost V2 ), Osts2 n. Let F( x, y, z) = , and let I2=_ F-dr. [Suggestion: Use Stokes' Theorem and the fact that C 2 is the circle in the...

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)~...

2. [-/1 Points] DETAILS SCALCET9 16.8.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use Stokes' theorem to evaluate curl ( F ) . ds . F(x, y, z) = e *yi+ e*j + x2zk, S is the half of the ellipsoid...

An Investigation into obesity rates Researchers have been interested in studying the obesity trends worldwide over the past 25 years. In 2014 the World Health Organization (WHO) declared there were....

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector eld. surface S, and closed curve C. Assume that C has counterclockwise orientation and S...

You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 5 percent, what is the price of the consol? b. You are concerned that the interest rate...

Sales Revenue $230,000 Sales Returns and Allowances = $15,000 %3D %3! Cost of Goods Sold = $150,000 %3D Operating Expenses Income Tax Expense = $2,000 = $42,000 %3D %3D Using the information...

Is this statement correct regarding a traditional IRA? Is this a correct option ? A traditional IRA may be deducted from a taxpayer's income, assuming the taxpayer meets specific eligibility criteria...

Required information [The following information applies to the questions displayed below.] Laker Company reported the following January purchases and sales data for its only product. Date Activities...