Find the potential º when F =-V¢, a conservative force of field defined by F =...
Find the potential o when F=-V¢, a conservative force of field defined by + = (3x’yz – 3y)i + (x?z – 3x)j + (x*y+ 2zł
Find the potential o when F=-V¢, a conservative force of field defined by + = (3x’yz – 3y]ī +(x’z – 3x)j +(x’y+22) Find the disk of convergence of power series (: -2+i)" where, z = x +iy 2" R=0
Find the potential when F =-Vº, a conservative force of field defined by F = (3x’yz – 3yli + (xºz – 3x)j + (x*y+2z)k
Decide whether or not the vector field is a gradient field (i.e. is conservative). If it is conservative, find a potential function. (ii) F(x,y)-6ญ่-12xVJ (iv) F(x, y, z)-< ye", e + z,y >
Decide whether or not the vector field is a gradient field (i.e. is conservative). If it is conservative, find a potential function. (ii) F(x,y)-6ญ่-12xVJ (iv) F(x, y, z)-
1. Determine if Ę is conservative. If F is conservative find a potential function for Ē. If Ę is not conservative explain why you know this. (a) F = (ye-1, -2, 22) (b) F (y cos(xy), x cos(sy), – sin z)
Show that the gravitational field F(x)--mMG is conservative with the potential function f(x) mMG(--) and then (on another page) evaluate Jcxds for Ci: y=x2 ,-1〈x 1 xl
Show that the gravitational field F(x)--mMG is conservative with the potential function f(x) mMG(--) and then (on another page) evaluate Jcxds for Ci: y=x2 ,-1〈x 1 xl
(1 point) Determine whether the vector field is conservative and, if so, find the general potential function. F = (cos z, 2y!}, -x sin z) Q= +c Note: if the vector field is not conservative, write "DNE". (1 point) Show F(x, y) = (8xy + 4)i + (12x+y2 + 2e2y)j is conservative by finding a potential function f for F, and use f to compute SF F. dr, where is the curve given by r(t) = (2 sinº 1)i +...
et F(r, v) (3z2e* + sec z tan z,ze - 90y*). (a) Show that F is a conservative. (b) Find a function f (potential function) show that F Vf. (c) Use above result to evaluate JeFdr, where C is a smooth curve that begin at the point (2, 1) and ends at (0, 3). (cost, sint) from -2 to t = 줄 particle that moves along the curve. (Write the value of work done without evaluating d) Find the work...
. Let F(a,y)-(3e +secztan,e -90 (a) Show that F is a conservative. (b) Find a function f (potential function) show that F (c) Use above result to evaluate Jc F. V. dr, where C is a smooth curve that begin at the point (2, 1 ) and ends at (0,3). (cos t, sin t) fromtto t particle that moves along the curve. (Write the value of work done without evaluating (d) Find the work done by the force field F(r,...
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = Vf. (If the vector field is not conservative, enter DNE.) F(x, y, z) = 4xyi + (2x2 + 10yz)j + 5y2k f(x, y, z) =