The heat flow vector field for conducting objects is F = - k T. where T(x, y, z) is the temperature in the object and k is a con
stant that depends on the material. Compute the outward flux of F across the given surface S for the given temperature distribution. Assume k = 1. T(x, y, z) = - 7 In (x^2 + y^2 + z^2); S is the sphere x^2 + y^2 + z^2 = a^2. The outward flux is____________.
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Since we have (5,3), f(5)=3
f'(5) is the slope of the line at x=5
we are given that the line tangent to f(x) at x=5 passes through the point (0,2)
so find the slope of that line
we know it passes through (5,3) and (0,2)
slope between
and 
is
slope between (5,3) and (0,2) is [/tex]\frac{3-2}{5-0}=\frac{1}{5}[/tex]
f(5)=3
f'(5)=
f'(5) is the slope of the line at x=5
we are given that the line tangent to f(x) at x=5 passes through the point (0,2)
so find the slope of that line
we know it passes through (5,3) and (0,2)
slope between
slope between (5,3) and (0,2) is [/tex]\frac{3-2}{5-0}=\frac{1}{5}[/tex]
f(5)=3
f'(5)=