Question: Use Stokes' Theorem to evaluate the line integral C - 4 y d x + - 3 z d y + - 7 x d

Use Stokes' Theorem to evaluate the line integral C-4ydx+-3zdy+-7xdz where C is the intersection of the xy-plane and hemisphere z=1-x2-y22 traversed counterclockwise viewed from the top-that is, from the positive z-axis toward the xy-plane.
Use Stokes' Theorem to evaluate the line integral

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!

Q:

1. [-/0.4 Points] DETAILS LARCALC11 15.4.005. Verify Green's Theorem by evaluating both integrals ON aM ax ay dA for the given path. C: boundary of the region lying between the graphs of y = x and y...

Q:

Use Stokes' Theorem to evaluate the line integral C y3 dx + 1 dy + (x + z2) dz, where C is the triangle with vertices (2, 0, 0), (0, 2, 0), and (0, 0, 2), oriented counterclockwise as viewed from...

Q:

Question: Given a vector field (\mathbf{F} = (y^2-z, xz^2, xy + z^3)) and a surface (S) in space bounded by the curve (C), which is the intersection of the cylinder ( x^2+y^2 = 4) and the plane (z =...

Q:

Question 7 [10 Marks] Let C be the curve of intersection of the cylinder x2 + (y 1)2 = 1 with the plane y = z, traversed in the counterclockwise direction when viewed from the above. Let F (x, y, z)...

Q:

pls help solve this problem 5. [25 marks; (a) 10 marks (b) 10 marks (c) 5 marks] (a) Compute the outward ux of the vector eld [/SF-ds. Here 3 is the surface of the solid bounded by the cone 1'2 + y2...

Q:

Let C be the oriented curve parametriza x = 2 cos(t), y = 2sin(t), z=0, te 0, 2x] and consider the vector field F defined by F(x, y, z) = (cos(a e") + z, - sin (y ey), cos (sin(22 e=)) - x). Use...

Q:

Let C be the oriented curve parametriza x = 2 cos(t), y = 2sin(t), z=0, te 0, 2x] and consider the vector field F defined by F(x, y, z) = (cos(a e") + z, - sin (y ey), cos (sin(22 e=)) - x). Use...

Q:

Let C be the oriented curve parametriza x = 2 cos(t), y = 2sin(t), z=0, te 0, 2x] and consider the vector field F defined by F(x, y, z) = (cos(a e") + z, - sin (y ey), cos (sin(22 e=)) - x). Use...

Q:

17. Use Stokes' Theorem to evaluate the line integral: oz'dx + xdy + 2zxdz C where C is the circle x2 + y2 = 1 in R' lying on the plane z = 1 with counterclockwise orientation. Hint: you can pick any...

Q:

(1)) Use Stoke's Theorem to evaluate the line integral ff Z2) d3: + (Z2 3:2) dy + (9'2 1:2) dz, C Where the curve C is the intersection of the paraboloid z = 3:2 + y2 1 with the plane a: + y z = 1,...

Q:

An enterprising Kenyan Dairy Firm has collected the following data with respect to its capital structure, expected earnings per share, and required return. Capital structure Debt ratio 0% 10 20 30 40...

Q:

1. Reports that present data without analysis or recommendations usually are informational or analytical reports? State one. (1 point) t

Q:

Your QuickBooks Online Essentials client wants to start using Customer types to track 1 0 0 types of customers. What do you tell them? Customer types are only available in Plus and Advanced Customer...

Q:

Radon Manufacturing, Inc. reported the following items: Sales = $6,000,000; Variable Costs of Production = $1,500,000; Variable Selling and Administrative Expenses = $550,000; Fixed Costs =...