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(a) Let c be a real number. Find the gradient vector field of

(a) Let c be a real number. Find the gradient vector field of

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Calc 3 - Line Integrals

(a) Let c be a real number. Find the gradient vector field of f(x, y, z) = Vx + y2 + z? (b) Show that mG is a gradient vector field by finding a function V such that VV = mG. (c) Let r(t) parametrize the Earth's orbit as in Question 1. Evaluate V(r(1)) – V(r(0))
Transcribed Image Text:(a) Let c be a real number. Find the gradient vector field of f(x, y, z) = Vx + y2 + z? (b) Show that mG is a gradient vector field by finding a function V such that VV = mG. (c) Let r(t) parametrize the Earth's orbit as in Question 1. Evaluate V(r(1)) – V(r(0))
G(x,y,z)= yrz -GM (x*+y*+z*j*72 (x,y,z) r(t) = (_pcos(t) _psin(t) 1+ecos(t)' 1+ecos(t) 0),0<tsn
Transcribed Image Text:G(x,y,z)= yrz -GM (x*+y*+z*j*72 (x,y,z) r(t) = (_pcos(t) _psin(t) 1+ecos(t)' 1+ecos(t) 0),0<tsn
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