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3. A metal sheet is bent into the shape of the parabaloid : = y2 22...
can you show me the work for 2,3,4,5, thank you 2. Evaluate ff curl F n...
can you show me the work for 2,3,4,5, thank you
2. Evaluate ff curl F n dS, where F = (a2yz, yz2, 23e#v), and S is the part of the sphere a2 + y2+225 that lies above the plane z 1, oriented upwards. - Solution: -4T 3. A metal sheet is bent into the shape of the parabaloid r = y2+ 2 where 0 (r, y, z) is 6(x, y, z) = z. Find the mass of the resulting metal...
please help me solve the following question 8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ F-n dS where F-: (x, y, z) and s is the cone z2 x2 + y2...
please help me solve the following question
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ F-n dS where F-: (x, y, z) and s is the cone z2 x2 + y2, 0 S 2 1; with the outward pointing normal.
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ...
(b) The surface of the quarter sphere 2+y2+z2=4, y >0, z 2 0, is made of...
(b) The surface of the quarter sphere 2+y2+z2=4, y >0, z 2 0, is made of a thin metal with density p (x+y). py S Plx, y, z) ds. Calculate its mass
(b) The surface of the quarter sphere 2+y2+z2=4, y >0, z 2 0, is made of a thin metal with density p (x+y). py S Plx, y, z) ds. Calculate its mass
22 + y2 with (1 point) The region W lies between the spheres x2 + y2...
22 + y2 with (1 point) The region W lies between the spheres x2 + y2 + z2 = 1 and 22 + y2 + x2 = 4 and within the cone z = z > 0; its boundary is the closed surface, S, oriented outward. Find the flux of F=ri+y +z3k Out of S. flux =
The gravitational field F(x,y,z) =cx /(x2 + y2 + z2)3/2 e1+ cy /(x2 + y2 +...
The gravitational field F(x,y,z) =cx /(x2 + y2 + z2)3/2 e1+ cy /(x2 + y2 + z2)3/2 e2+ cz/ (x2 + y2 + z2)3/2 e3 is a gradient field, where c is a constant, such that the field is rotation free. If we define f(x,y,z) = −c /(x2 + y2 + z2)1/2 , then show that (a) F = grad(f). (b) curl(F) = 0.
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proport...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
*PLEASE SHOW ALL WORK AND STEP BY STEP SOLUTION* 7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y 2) -2+ y2 +2 x2 +...
*PLEASE SHOW ALL WORK AND STEP BY STEP SOLUTION*
7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y 2) -2+ y2 +2 x2 + y2 + z2 (b) f(x, y, z)-2xy + 2yz + 2xz 8 (cx,2x2 + y2+ 2 2 + z2
7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y...
5. (2 Points) Let -2 -y F (x2+y2+z2)2/3' (2+y2)2/3' (r2+y2+22)2/3 Find the work done by this...
5. (2 Points) Let -2 -y F (x2+y2+z2)2/3' (2+y2)2/3' (r2+y2+22)2/3 Find the work done by this force field on an F(t) = (1+3t, 1 + 4t2, 1 +5t3) object that moves from (1,1, 1) to (4,5,6) along the curve
can you show me the work for 2,3,4,5, thank you
2. Evaluate ff curl F n dS, where F = (a2yz, yz2, 23e#v), and S is the part of the sphere a2 + y2+225 that lies above the plane z 1, oriented upwards. - Solution: -4T 3. A metal sheet is bent into the shape of the parabaloid r = y2+ 2 where 0 (r, y, z) is 6(x, y, z) = z. Find the mass of the resulting metal...
please help me solve the following question
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ F-n dS where F-: (x, y, z) and s is the cone z2 x2 + y2, 0 S 2 1; with the outward pointing normal.
8. Compute JJ f dS where f(x, y, 2)22+2 and S is the top hemisphere x2 + y2 + Z2, 220. 9. Compute JJ...
(b) The surface of the quarter sphere 2+y2+z2=4, y >0, z 2 0, is made of a thin metal with density p (x+y). py S Plx, y, z) ds. Calculate its mass
(b) The surface of the quarter sphere 2+y2+z2=4, y >0, z 2 0, is made of a thin metal with density p (x+y). py S Plx, y, z) ds. Calculate its mass
22 + y2 with (1 point) The region W lies between the spheres x2 + y2 + z2 = 1 and 22 + y2 + x2 = 4 and within the cone z = z > 0; its boundary is the closed surface, S, oriented outward. Find the flux of F=ri+y +z3k Out of S. flux =
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2 + y2 +z" 1 and x2 + y2 + z2-4 given that the density at each point P(x, y, z) is inversely proportional to the distance from P to the origin and 8(o, 3,02 15 pts] (0, 1,0)-2/m3 from P to the origin and
Use spherical coordinates to find the mass m of a solid Q that lies between the spheres x2...
3)If w = x2 + y2 + z2 ; x = cos st, y = sin st , z = sat find 4)Find the minimum of the function f(x,y) = x2 + y2 subject to the constraint g(x, y) = xy - 3 = 0 5)Find the first and second order Taylor polynomials to the function f(x,y) = ex+y at (0,0). 6) Let f(x, y, z) = x2 – 3xy + 2z, find Vf and Curl(f)
*PLEASE SHOW ALL WORK AND STEP BY STEP SOLUTION*
7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y 2) -2+ y2 +2 x2 + y2 + z2 (b) f(x, y, z)-2xy + 2yz + 2xz 8 (cx,2x2 + y2+ 2 2 + z2
7.+-/3 points MarsVectorCalc6 2.6.011. For the functions below, what is the direction of fastest increase at (1, 1, 1)? 8 (a) f(x, y...
5. (2 Points) Let -2 -y F (x2+y2+z2)2/3' (2+y2)2/3' (r2+y2+22)2/3 Find the work done by this force field on an F(t) = (1+3t, 1 + 4t2, 1 +5t3) object that moves from (1,1, 1) to (4,5,6) along the curve
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