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5 15.7.9 Question Help Lot S bo tho cylinder x +y? - Oszsh, together with its...
Let S be the portion of the cylinder y =e* in the first octant that projects...
Let S be the portion of the cylinder y =e* in the first octant that projects parallel to the x-axis onto the rectangle Rg: 1sys3, Oszs1 in the yz-plane (see the accompanying figure). Let n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field F(x.y.z) = - 21-4yj + zk across S in the direction of n. Rya The flux is. (Type an exact answer.)
(1 point) Let F(x, y, z) = 5yj and S be the closed vertical cylinder of...
(1 point) Let F(x, y, z) = 5yj and S be the closed vertical cylinder of height 4, with its base a circle of radius 3 on the xy-plane centered at the origin. S is oriented outward. (a) Compute the flux of F through S using the divergence theorem. Flux = Flux = || F . dà = (b) Compute the flux directly. Flux out of the top = Į! Įdollar Flux out of the bottom = Flux out of...
S is the quarter cylinder 2+y2=4, x>0, y >0, 0< z<1 Given the vector field: E (10-2y)i+(1222+10y)+(14yz-4z4...
S is the quarter cylinder 2+y2=4, x>0, y >0, 0< z<1 Given the vector field: E (10-2y)i+(1222+10y)+(14yz-4z4)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find Sp.H Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
S is the quarter cylinder 2+y2=4, x>0, y >0, 0
Question Question 11 (2 marks) Attempt 1 S is the half cylinder (2+y2 =9, y>0, 0<x<2...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder (2+y2 =9, y>0, 0<x<2 Given the vector field: E=(43c+6y2)2+(622+62) 3+(8x22-523)k, Calculate the outward flux (away from the z-axis) of Ethrough surface S. That is find J= Eds Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J = Skipped
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field...
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field: E= (18+4yz)1+(1522+42)j+(22 r2z-723)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J= Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3 Pi+5/7 J= Skipped Lecture 14-Overdodf Handout Lab-2D....docx
Question Question 11 (2 marks) Attempt...
Question 11 (2 marks) Attempt 7 S is the half cylinder 2+y2=9, y>0, 0<z<2 Given the vector field: E=(12+7yz)i+...
Question 11 (2 marks) Attempt 7 S is the half cylinder 2+y2=9, y>0, 0<z<2 Given the vector field: E=(12+7yz)i+(622+72)j+(1322-823)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J- 1-48 S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
Question 11 (2 marks) Attempt 7 S is the half cylinder 2+y2=9,...
please show all the steps 15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2...
please show all the steps
15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2, P(3,4) a. Find the gradient and evaluate it at P The gradient at P is b Find the angles θ with respect to the positive x-axis associated with the directions of maximum increase, maximum decrease, and zero change What angle(s) is/are associated with the direction of maximum...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Let S be the portion of the cylinder y =e* in the first octant that projects parallel to the x-axis onto the rectangle Rg: 1sys3, Oszs1 in the yz-plane (see the accompanying figure). Let n be the unit vector normal to S that points away from the yz-plane. Find the flux of the field F(x.y.z) = - 21-4yj + zk across S in the direction of n. Rya The flux is. (Type an exact answer.)
(1 point) Let F(x, y, z) = 5yj and S be the closed vertical cylinder of height 4, with its base a circle of radius 3 on the xy-plane centered at the origin. S is oriented outward. (a) Compute the flux of F through S using the divergence theorem. Flux = Flux = || F . dà = (b) Compute the flux directly. Flux out of the top = Į! Įdollar Flux out of the bottom = Flux out of...
S is the quarter cylinder 2+y2=4, x>0, y >0, 0< z<1 Given the vector field: E (10-2y)i+(1222+10y)+(14yz-4z4)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find Sp.H Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
S is the quarter cylinder 2+y2=4, x>0, y >0, 0
Question Question 11 (2 marks) Attempt 1 S is the half cylinder (2+y2 =9, y>0, 0<x<2 Given the vector field: E=(43c+6y2)2+(622+62) 3+(8x22-523)k, Calculate the outward flux (away from the z-axis) of Ethrough surface S. That is find J= Eds Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J = Skipped
Question Question 11 (2 marks) Attempt 1 S is the half cylinder r2+y2-16, y>0, 0<z<1 Given the vector field: E= (18+4yz)1+(1522+42)j+(22 r2z-723)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J= Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3 Pi+5/7 J= Skipped Lecture 14-Overdodf Handout Lab-2D....docx
Question Question 11 (2 marks) Attempt...
Question 11 (2 marks) Attempt 7 S is the half cylinder 2+y2=9, y>0, 0<z<2 Given the vector field: E=(12+7yz)i+(622+72)j+(1322-823)k, Calculate the outward flux (away from the z-axis) of E through surface S. That is find J- 1-48 S Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression. For example: 10.13906368 OR rounded to 10.13906 OR 3*Pi+5/7 J =
Question 11 (2 marks) Attempt 7 S is the half cylinder 2+y2=9,...
please show all the steps
15.5.37 Question Help A function f and a point P are given. Let θ correspond to the direction of the directional derivative. Complete parts (a) through (e) #x,y)-10-4x2-3y2, P(3,4) a. Find the gradient and evaluate it at P The gradient at P is b Find the angles θ with respect to the positive x-axis associated with the directions of maximum increase, maximum decrease, and zero change What angle(s) is/are associated with the direction of maximum...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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