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4/5 points | Previous Answers 4 Let F yi5j - xzk. S is the part of...
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part...
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part of the surface -8-) above the plane z5 oriented upward Because the surface is a function of x and y, express F in terms of x and y only. Find dA Set up the iterated integral for flux dr de Evaluate the integral Flux through S (b) S2 is the horizontal disk of radius V3 centered at (0, 0, 5)...
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F = 5z2i-6(y-...
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F = 5z2i-6(y-7) + 7x3k (a) Find the flux of out of s. Flux = (b) Using part (a), find the flux through the curved surface y-V25 x2-z2, oriented in the positive y direction Flux = Submit Answer Save Progress
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F =...
Let F 9xi + yj + zk . S is the part of the surface z...
Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find dA X * хр / Set up the iterated integral for flux 3 6 2x F.dA dy dx
Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find...
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integration R in Figure 3.(b)...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integration R in Figure 3.(b) By completing
the limits and integrand, set up (without evaluating) the integral
in polar coordinates.∫R(x2+y)dA=∫∫drdθ.7. (5 pts) By completing the
limits and integrand, set up (without evaluating) an iterated
inte-gral which represents the volume of the ice cream cone bounded
by the cone z=√x2+y2andthe hemisphere z=√8−x2−y2using(a) Cartesian
coordinates.volume =∫∫∫dz dxdy.(b) polar coordinates.volume
=∫∫drdθ.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts)...
U Question 15 "C 7 pts "С If S is the surface of the cylinder E=...
U Question 15 "C 7 pts "С If S is the surface of the cylinder E= {(x,y,z) : 32 + y < 4,1523}, oriented outwards, which of the following (after applying the Divergence Theorem) will compute zyz) - dS? 40 O (1 + y2 cos & sin 6)r dr de dz REC O 1988 6%" /*(1 + == sin ®)r dr do dz %%% %%% %%% (r cos 0 + 32 + y2 z cos ( sin 0), dr do...
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integrationRin Figure 3.(b) By completing...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integrationRin Figure 3.(b) By completing the
limits and integrand, set up (without evaluating) the integral in
polar coordinates.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 /2-y² + = (x2 + y) dx dy + + y) do dy. 2-y2 (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating)...
2. Evaluate the surface integral [[Fids. (a) F(x, y, z) - xi + yj + 2zk,...
2. Evaluate the surface integral [[Fids. (a) F(x, y, z) - xi + yj + 2zk, S is the part of the paraboloid z - x2 + y2, 251 (b) F(x, y, z) = (z, x-z, y), S is the triangle with vertices (1,0,0), (0, 1,0), and (0,0,1), oriented downward (c) F-(y. -x,z), S is the upward helicoid parametrized by r(u, v) = (UCOS v, usin v,V), osus 2, OSVS (Hint: Tu x Ty = (sin v, -cos v, u).)...
2. [25 pts] Let F(x, y, z) = x?i + xyj + xzk be a vector...
2. [25 pts] Let F(x, y, z) = x?i + xyj + xzk be a vector field in space. Let S be the open surface z = 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral ŞI F.NdS S
2. [25 pts) Let F(x, y, z) = x+i+ xyj + xzk be a vector field...
2. [25 pts) Let F(x, y, z) = x+i+ xyj + xzk be a vector field in space. Let S be the open surface z= 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral F.NDS
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral...
Please Answer the Following Questions (SHOW ALL WORK)
1.
2.
3.
4.
Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
5. 0/12 points I Previous Answers My Use F- 14r to answer the questions below. (a) S, is the part of the surface -8-) above the plane z5 oriented upward Because the surface is a function of x and y, express F in terms of x and y only. Find dA Set up the iterated integral for flux dr de Evaluate the integral Flux through S (b) S2 is the horizontal disk of radius V3 centered at (0, 0, 5)...
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F = 5z2i-6(y-7) + 7x3k (a) Find the flux of out of s. Flux = (b) Using part (a), find the flux through the curved surface y-V25 x2-z2, oriented in the positive y direction Flux = Submit Answer Save Progress
8. -12 points Let S be the closed surface y = V25-x2-22 , 0 5 oriented outward. y → F =...
Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find dA X * хр / Set up the iterated integral for flux 3 6 2x F.dA dy dx
Let F 9xi + yj + zk . S is the part of the surface z = -4x - 2y + 12 in the first octant oriented upward. ey 4,2,1 Find...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integration R in Figure 3.(b) By completing
the limits and integrand, set up (without evaluating) the integral
in polar coordinates.∫R(x2+y)dA=∫∫drdθ.7. (5 pts) By completing the
limits and integrand, set up (without evaluating) an iterated
inte-gral which represents the volume of the ice cream cone bounded
by the cone z=√x2+y2andthe hemisphere z=√8−x2−y2using(a) Cartesian
coordinates.volume =∫∫∫dz dxdy.(b) polar coordinates.volume
=∫∫drdθ.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts)...
U Question 15 "C 7 pts "С If S is the surface of the cylinder E= {(x,y,z) : 32 + y < 4,1523}, oriented outwards, which of the following (after applying the Divergence Theorem) will compute zyz) - dS? 40 O (1 + y2 cos & sin 6)r dr de dz REC O 1988 6%" /*(1 + == sin ®)r dr do dz %%% %%% %%% (r cos 0 + 32 + y2 z cos ( sin 0), dr do...
6. (4 pts) Consider the
double
integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a)
Sketch the region of integrationRin Figure 3.(b) By completing the
limits and integrand, set up (without evaluating) the integral in
polar coordinates.
-1 -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 /2-y² + = (x2 + y) dx dy + + y) do dy. 2-y2 (a) Sketch the region of integration R in Figure 3. (b) By completing the limits and integrand, set up (without evaluating)...
2. Evaluate the surface integral [[Fids. (a) F(x, y, z) - xi + yj + 2zk, S is the part of the paraboloid z - x2 + y2, 251 (b) F(x, y, z) = (z, x-z, y), S is the triangle with vertices (1,0,0), (0, 1,0), and (0,0,1), oriented downward (c) F-(y. -x,z), S is the upward helicoid parametrized by r(u, v) = (UCOS v, usin v,V), osus 2, OSVS (Hint: Tu x Ty = (sin v, -cos v, u).)...
2. [25 pts] Let F(x, y, z) = x?i + xyj + xzk be a vector field in space. Let S be the open surface z = 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral ŞI F.NdS S
2. [25 pts) Let F(x, y, z) = x+i+ xyj + xzk be a vector field in space. Let S be the open surface z= 25 – x2 - y2, which is the upper hemisphere (or dome) of radius 5. Calculate the flux integral F.NDS
Please Answer the Following Questions (SHOW ALL WORK)
1.
2.
3.
4.
Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
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Please help me with FLOWCHART and UML diagram for class,
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