Asked by MEMO
Recall that the volume of a sphere of radius r is V(r) =4\, \pi\, r^3 /3.
Find L, the linearisation of V(r) at r=50
Find L, the linearisation of V(r) at r=50
Answers
Answered by
Steve
v = 4π/3 r^3
v' = 4π r^2
at r=50, v = 500π/3 and v' = 100π
So, the tangent line at r=50 is
v - 500π/3 = 100π(x-50)
v' = 4π r^2
at r=50, v = 500π/3 and v' = 100π
So, the tangent line at r=50 is
v - 500π/3 = 100π(x-50)
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