Please explain clearly and show all steps. Thank you. 
Homework Answers
Add Answer to:
Please explain clearly and show all steps. Thank you.
A hemisphere S is defined by x2...
Vector Calculus. Please show steps, explain, and do not use calculator. Thank you, will thumbs up!...
Vector Calculus. Please show steps, explain, and do not use
calculator. Thank you, will thumbs up!
3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
Q3 A hemisphere is given by x² + y + z 2 = 4 on zzo....
Q3 A hemisphere is given by x² + y + z 2 = 4 on zzo. A vector field t = ayü - xy + xz Å exists over the surface and around its boundary. Use Stokes' Theoren to calculate SSs coll i oÑ ¿S
Problem 4: Use the surface integral in Stokes' theorem to evaluate F.dr for the hemisphere S...
Problem 4: Use the surface integral in Stokes' theorem to evaluate F.dr for the hemisphere S : x2 + y2 + z2 = 9; z > 0, its bounding circle C: 2+9 and the field F-yi- xj. You only have to compute the surface integral, not the line integral. (20 points)
Calculate the left and right hand side of Stokes Theorem for this problem. Explain why you...
Calculate the left and right hand side of Stokes Theorem for
this problem. Explain why you obtained different values, and why it
is not a contradiction
2. [5 Stokes' Theorem: Let S be a piecewise smooth oriented surface having a piecewise smooth boundary curve C. Let F = Mi+Nj+Pk be a vector field whose components have continuous first partial derivatives on an open region containing S. The the circulation of F around C in the direction counterclockwise with respect to...
Please explain clearly and show all steps. Thank you. A cuboid is bounded by the planes...
Please explain clearly and show all steps. Thank you.
A cuboid is bounded by the planes x=0, x=1, y=0, y=3, z=0 and z=2. Use Gauss' Divergence Theorem to calculate SSsF. NºdS, the flux of the vector field F =x2i® + zjº+yk outward of the cuboid through its surfaces.
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ z...
Verify that Stokes' Theorem is true for the vector field
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Stokes' Theorem Verify Stokes' Theorem by evaluating each side of the equation in the theorem Here,...
Stokes' Theorem Verify Stokes' Theorem by evaluating each side of the equation in the theorem Here, F (x2 y, y2 - z2,z2 -x2) S is the plane x + y z 1 in the first octant, oriented with upward pointing normal vector, and y is the boundary of S oriented counterclockwise when seen from above. State Stokes' Theorem in its entirety Sketch the surface S and curve, y Explain in detail how all the conditions of the hypothesis of the...
Consider the vector field F(x, y, z) -(z,2x, 3y) and the surface z- /9 - x2 -y2 (an upper hemisph...
Consider the vector field F(x, y, z) -(z,2x, 3y) and the surface z- /9 - x2 -y2 (an upper hemisphere of radius 3). (a) Compute the flux of the curl of F across the surface (with upward pointing unit normal vector N). That is, compute actually do the surface integral here. V x F dS. Note: I want you to b) Use Stokes' theorem to compute the integral from part (a) as a circulation integral (c) Use Green's theorem (ie...
(2) Let F zi + xj+yk and consider the integral vx Fi n dS where S is the surface of the paraboloid z = 1-x2-y2 corr...
(2) Let F zi + xj+yk and consider the integral vx Fi n dS where S is the surface of the paraboloid z = 1-x2-y2 corresponding to 0, and n is a unit normal vector to S in the positive z-direction. (a) Apply Stokes' theorem to evaluate the integral. b) Evaluate the integral directly over the surface S. (c) Evaluate the integral directly over the new surface S which is given by the disk
(2) Let F zi + xj+yk...
3. F is the vector field The surface S is the boundary of a solid E, where E is bounded by the sp...
3. F is the vector field The surface S is the boundary of a solid E, where E is bounded by the sphe:93 x2 + y2 + z2 = 4 and x2 + y2 + z2-) for z > 0, Do the following (a) State the defining equation for Gauss' Theorem. (10 points) (b) Show that div F(a+y). (10 points) (c) Use Gauss' Theorem to rewrite the following integral as product of one dimensional integrals. Do not evaluate. (10 points)...
Vector Calculus. Please show steps, explain, and do not use
calculator. Thank you, will thumbs up!
3. In this problem, let S be the surface defined be the equations: x2 + y2 + z2 = 1 and x2 + y2 < 1/2 (a) (1 point) Find a parametrization of S 0: DR3 where DC R2 (Hint: use spherical coordinates). (b) (2 points) Use part (a) to find the area of S. (c) (1 point) Let F: R3 R3 be the...
Q3 A hemisphere is given by x² + y + z 2 = 4 on zzo. A vector field t = ayü - xy + xz Å exists over the surface and around its boundary. Use Stokes' Theoren to calculate SSs coll i oÑ ¿S
Problem 4: Use the surface integral in Stokes' theorem to evaluate F.dr for the hemisphere S : x2 + y2 + z2 = 9; z > 0, its bounding circle C: 2+9 and the field F-yi- xj. You only have to compute the surface integral, not the line integral. (20 points)
Calculate the left and right hand side of Stokes Theorem for
this problem. Explain why you obtained different values, and why it
is not a contradiction
2. [5 Stokes' Theorem: Let S be a piecewise smooth oriented surface having a piecewise smooth boundary curve C. Let F = Mi+Nj+Pk be a vector field whose components have continuous first partial derivatives on an open region containing S. The the circulation of F around C in the direction counterclockwise with respect to...
Please explain clearly and show all steps. Thank you.
A cuboid is bounded by the planes x=0, x=1, y=0, y=3, z=0 and z=2. Use Gauss' Divergence Theorem to calculate SSsF. NºdS, the flux of the vector field F =x2i® + zjº+yk outward of the cuboid through its surfaces.
Verify that Stokes' Theorem is true for the vector field
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F -yi+ zj + xkand the surface S the hemisphere x2 + y2 + z2-25, y > 0oriented in the direction of the positive y- axis To verify Stokes' Theorem we will compute the expression on each side. First compute curl F dS curl F The surface S can be parametrized by S(s, t) -...
Stokes' Theorem Verify Stokes' Theorem by evaluating each side of the equation in the theorem Here, F (x2 y, y2 - z2,z2 -x2) S is the plane x + y z 1 in the first octant, oriented with upward pointing normal vector, and y is the boundary of S oriented counterclockwise when seen from above. State Stokes' Theorem in its entirety Sketch the surface S and curve, y Explain in detail how all the conditions of the hypothesis of the...
Consider the vector field F(x, y, z) -(z,2x, 3y) and the surface z- /9 - x2 -y2 (an upper hemisphere of radius 3). (a) Compute the flux of the curl of F across the surface (with upward pointing unit normal vector N). That is, compute actually do the surface integral here. V x F dS. Note: I want you to b) Use Stokes' theorem to compute the integral from part (a) as a circulation integral (c) Use Green's theorem (ie...
(2) Let F zi + xj+yk and consider the integral vx Fi n dS where S is the surface of the paraboloid z = 1-x2-y2 corresponding to 0, and n is a unit normal vector to S in the positive z-direction. (a) Apply Stokes' theorem to evaluate the integral. b) Evaluate the integral directly over the surface S. (c) Evaluate the integral directly over the new surface S which is given by the disk
(2) Let F zi + xj+yk...
3. F is the vector field The surface S is the boundary of a solid E, where E is bounded by the sphe:93 x2 + y2 + z2 = 4 and x2 + y2 + z2-) for z > 0, Do the following (a) State the defining equation for Gauss' Theorem. (10 points) (b) Show that div F(a+y). (10 points) (c) Use Gauss' Theorem to rewrite the following integral as product of one dimensional integrals. Do not evaluate. (10 points)...
Most questions answered within 3 hours.
-
Humans have used horses for transportation for millions of
years. Therefore, they will use horses for...
asked 1 hour ago -
The following are the Jensen Corporation's unit costs of making
and selling an item at a...
asked 2 hours ago -
Does direct Medicare reimbursement of Advanced practice nurses
increase access to their services?
asked 2 hours ago -
List and explain why a company would choose to use a
published
compensation survey vs. creating...
asked 3 hours ago -
A discrete random variable X can take values from 1 to 10. Find
the variance of...
asked 3 hours ago -
The primary financial goal of a corporation is to maximize:
shareholders wealth.
earnings per share.
stock...
asked 3 hours ago -
determine whether the vectors u=(1,2,3,), v=(-2,1,0) and
w=(1,0,1) are linearly dependent or independent.
asked 3 hours ago -
python
Define a function called print_values which takes a dictionary
object as a parameter. The function...
asked 4 hours ago -
In Chapter 1 you created a program named Triangle in
which you displayed a seven-line triangle...
asked 4 hours ago -
Research question: What are the differences between separately
stated and non separately stated transactions in an...
asked 4 hours ago -
By using Arduino write a code that connects two LEDs to two
push-buttons. Each button controls...
asked 5 hours ago -
Bank of America has bonds that pay a coupon interest rate of 5.5
percent and mature...
asked 6 hours ago