
please include the full detailed solution and include (diagram if used)

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please include the full detailed solution and include (diagram if used) Q4: Consider the vector D=3sinfo)...
Hello, can please help me with this problem? Can you please do
the problem without using parametric surfaces! Please do the
problem using the definition of surface integrals over vector
fields!
F. dS where F = i + zj+ 6e k and S is the portion of the sphere of radius 3 with 0, y 0 and z 0 oriented inward (i.e. towards 4. Evaluate S the origin). [Solution]
F. dS where F = i + zj+ 6e k and...
can you please give me a detailed explained answer.
I'm struggling with this topic.
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(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
can you please give me a detailed explained answer.
I'm struggling with this topic.
like and comment are rewarded for clear answers.
(b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
r 37. Singular radial field Consider the radial field (x, y, z) F (x2 + y2 + z2)1/2" a. Evaluate a surface integral to show that SsFonds = 4ta?, where S is the surface of a sphere of radius a centered at the origin. b. Note that the first partial derivatives of the components of F are undefined at the origin, so the Divergence Theorem does not apply directly. Nevertheless, the flux across the sphere as computed in part (a)...
Please show full working. Only answer if you know how.
Regards
(2) Let F-~itrj yk and consider the integral JTs ▽ x F·ń dS where s is the surface of the paraboloid z = 1-2.2-y2 corresponding to z > 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...
In each solution, please include a diagram with labeled axes, and where appropriate include all the forces and the acceleration vector on your diagram. D) Imagine that you and a friendly grizzly bear are roller skating towards each other. When you collide the bear will greet you with a bear hug, of course. Calculate the velocity of the pair of you as you roll away from the collision stuck together.( assume valuables that are needed )
Just question 5
Only question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How...
Just question 6![
Just question 6!
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How...
Question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How does the flow change...
Please only answer if you know how. Please show full workings.
Regards
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0. Find the outward flux of F onsider the vector ће across the closed surface S ofV.
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0....