Homework Answers
Add Answer to:
a) Complete the statement of: Stoke's Theorem: Let S be an oriented surface bounded by a...
4.8) a) Complete the statement of: The Divergence Theorem: Let D be a closed solid in...
4.8) a) Complete the statement of: The Divergence Theorem: Let D be a closed solid in space bounded by a closed surface s oriented by an outwardly directed unit normal vector n. If F(x, y, z)=(M(x,y,z), N(x, y, z), P(x, y, z)) where M, N, and P have continuous partial derivatives in D, then: D b) Use the Divergence Theorem to write as an iterated integral the flux of F=(x",x’y,x?:) over the closed cylindrical surface whose sides are defined by...
Show all work and use correct notation for full credit. Stokes' Theorem: Let S be an...
Show all work and use correct notation for full credit. Stokes' Theorem: Let S be an orientable, piecewise smooth surface, bounded by a simple closed piecewise smooth curve C with positive orientation. Let F be a vector field with component functions that have continuous partial derivatives on an open region in R3 that contains S. Then | | curl(F) . ds F-dr = where curl(F) = ▽ × F. (2 Credits) Let S be the cone given by {(z, y,...
Stoke's theorem says: I (3 x 2). a3 = fh.at Verify Stoke's theorem for the vector...
Stoke's theorem says: I (3 x 2). a3 = fh.at Verify Stoke's theorem for the vector field | A = zza +Tgây + yzam and the closed path comprising the straight lines from (0,0,0) to (0,1,0), from (0,1,0) to (0,1,1) and from (0,1,1) to (0,0,0) Hint: The limits of the surface integral are 0 <y < 1 and 0 <zsy.
a) Draw a surface whose boundary in the curve C b) Use Stoke's Theorem to set...
a) Draw a surface whose boundary in the curve C b) Use Stoke's Theorem to set up the alternative integral to Fodr Let C be the curve of intersection of the plane. X+2=6 and the cyclinder x² + y2 = 9. Where F(x, y, z)=<xy, 32, 7y) and C is the Curve of intersection of the plane X+Z²6 and the Cylinder x² + y2 =9 view as clockwise as above
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space...
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space given by F(x, y, z) xy-plan described by x2 + y2 < 4, z = 0; and let S2 be the upper half of the paraboloid given by z 4 y2, z 2 0. Both Si and S2 are oriented upwards. Let E be the solid region enclosed by S1 and S2 (a) Evaluate the flux integral FdS (b) Calculate div F div F...
3. If S is a sphere, and F is a vector field that fulfills the hypotheses of Stokes' Theorem, then what is the value of curl F dS? (d) It cannot be determined without knowing F. (e) None of the o...
3. If S is a sphere, and F is a vector field that fulfills the hypotheses of Stokes' Theorem, then what is the value of curl F dS? (d) It cannot be determined without knowing F. (e) None of the other choices 4. True or False? Suppose that Si and S2 are oriented piecewise-smooth surfaces that share the same simple, closed, piecewise-smooth boundary curve C. Let F be a vector field whose components have continuous partial derivatives on an open...
Let S be the surface of the cone whose base is a disk of radius 2...
Let S be the surface of the cone whose base is a disk of radius 2 in the plane z = 4 and whose vertex is at the origin (S includes the base of the cone, so that it is a closed, piecewise smooth surface), oriented outward. Let F(x, y, z) = (2x – cos(yz), 2y +exz®, sin(xy) – 42). Compute the surface integral ds. To recieve full credit, you must justify your work; in particular, if you are using...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple cl...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple closed curve, show that S Jlxy -ydx by Green's Theorem. (Hint: Let P--yandQ x) (b) Let D = {(x,y) 1} be an ellipse, compute the area of D a2 b2 (c) Let L be the upper half from point A(a, 0) to point B(-a, 0) along the elliptical boundary, compute line integral I(e* siny - my)dx + (e* cos...
3] (a) Use Stoke's Theorem to evaluate ScF. dr by evaluating the related double inte- gral,...
3] (a) Use Stoke's Theorem to evaluate ScF. dr by evaluating the related double inte- gral, where F(x, y, z) = (x2z, cy, 22) and C is the curve of intersection between the plane x+y+z=1 and the cylinder ? + y2 = 9 oriented clockwise when viewed from above. (b) Sketch a graph of both the plane and cylinder with so that the intersecting curve is clear. 2) Find the parametric equations for C and use them to sketch a...
4.8) a) Complete the statement of: The Divergence Theorem: Let D be a closed solid in space bounded by a closed surface s oriented by an outwardly directed unit normal vector n. If F(x, y, z)=(M(x,y,z), N(x, y, z), P(x, y, z)) where M, N, and P have continuous partial derivatives in D, then: D b) Use the Divergence Theorem to write as an iterated integral the flux of F=(x",x’y,x?:) over the closed cylindrical surface whose sides are defined by...
Show all work and use correct notation for full credit. Stokes' Theorem: Let S be an orientable, piecewise smooth surface, bounded by a simple closed piecewise smooth curve C with positive orientation. Let F be a vector field with component functions that have continuous partial derivatives on an open region in R3 that contains S. Then | | curl(F) . ds F-dr = where curl(F) = ▽ × F. (2 Credits) Let S be the cone given by {(z, y,...
Stoke's theorem says: I (3 x 2). a3 = fh.at Verify Stoke's theorem for the vector field | A = zza +Tgây + yzam and the closed path comprising the straight lines from (0,0,0) to (0,1,0), from (0,1,0) to (0,1,1) and from (0,1,1) to (0,0,0) Hint: The limits of the surface integral are 0 <y < 1 and 0 <zsy.
a) Draw a surface whose boundary in the curve C b) Use Stoke's Theorem to set up the alternative integral to Fodr Let C be the curve of intersection of the plane. X+2=6 and the cyclinder x² + y2 = 9. Where F(x, y, z)=<xy, 32, 7y) and C is the Curve of intersection of the plane X+Z²6 and the Cylinder x² + y2 =9 view as clockwise as above
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space given by F(x, y, z) xy-plan described by x2 + y2 < 4, z = 0; and let S2 be the upper half of the paraboloid given by z 4 y2, z 2 0. Both Si and S2 are oriented upwards. Let E be the solid region enclosed by S1 and S2 (a) Evaluate the flux integral FdS (b) Calculate div F div F...
3. If S is a sphere, and F is a vector field that fulfills the hypotheses of Stokes' Theorem, then what is the value of curl F dS? (d) It cannot be determined without knowing F. (e) None of the other choices 4. True or False? Suppose that Si and S2 are oriented piecewise-smooth surfaces that share the same simple, closed, piecewise-smooth boundary curve C. Let F be a vector field whose components have continuous partial derivatives on an open...
Let S be the surface of the cone whose base is a disk of radius 2 in the plane z = 4 and whose vertex is at the origin (S includes the base of the cone, so that it is a closed, piecewise smooth surface), oriented outward. Let F(x, y, z) = (2x – cos(yz), 2y +exz®, sin(xy) – 42). Compute the surface integral ds. To recieve full credit, you must justify your work; in particular, if you are using...
7. Use Green's Theorem to find Jc F.nds, where C is the boundary of the region bounded by y = 4-x2 and y = 0, oriented counter-clockwise and F(x,y) = (y,-3z). what about if F(r, y) (2,3)? x2 + y2 that lies inside x2 + y2-1. Find the surface area of this 8. Consider the part of z surface. 9. Use Green's Theorem to find Find J F Tds, where F(x, y) (ry,e"), and C consists of the line segment...
(a) Let S be the area of a bounded and closed region D with boundary дD of a smooth and simple closed curve, show that S Jlxy -ydx by Green's Theorem. (Hint: Let P--yandQ x) (b) Let D = {(x,y) 1} be an ellipse, compute the area of D a2 b2 (c) Let L be the upper half from point A(a, 0) to point B(-a, 0) along the elliptical boundary, compute line integral I(e* siny - my)dx + (e* cos...
3] (a) Use Stoke's Theorem to evaluate ScF. dr by evaluating the related double inte- gral, where F(x, y, z) = (x2z, cy, 22) and C is the curve of intersection between the plane x+y+z=1 and the cylinder ? + y2 = 9 oriented clockwise when viewed from above. (b) Sketch a graph of both the plane and cylinder with so that the intersecting curve is clear. 2) Find the parametric equations for C and use them to sketch a...
Most questions answered within 3 hours.
-
The Federal Reserve issues a report indicating that future
inflation will increase from 3% to 4%....
asked 6 seconds ago -
Sam buys a hollow, plastic rock where he plans to hide his spare
key. He puts...
asked 11 minutes ago -
Find an example of a Python program on the Web that
illustrates the program’s decisions using...
asked 9 minutes ago -
significance for bone density scores are normally distributed
with a mean of 0 and a standard...
asked 11 minutes ago -
Identify which sets of quantum numbers are valid for an
electron. Each set is ordered (n,ℓ,mℓ,ms)....
asked 20 minutes ago -
11.Which of the following mutations would most likely to disrupt
the structure of an α-helix?
Cys...
asked 28 minutes ago -
____ 16. State your conclusion to the hypothesis test.
A local retailer currently schedules employees based...
asked 34 minutes ago -
8. What is the translational kinetic energy of a 0.1 g car
moving at 1 km/s?...
asked 34 minutes ago -
C++
Redo Practice program 1 from chapter 11, but this time define
the Money ADT class...
asked 54 minutes ago -
Experiment 7 Empirical Formula
Objectives:
Determine the expected formula for the ionic oxide expected
when Mg...
asked 1 hour ago -
When aqueous solutions of NH4OH(aq)
and CuCl2(aq) are mixed, the products
are NH4Cl (aq) and
Cu(OH)2(s)....
asked 1 hour ago -
Describe the heart of different animals in circulation and
explain.
Fish 2 chambered Heart.
Amphibians 3...
asked 1 hour ago