(a) Write down an equation for the plane tangent to the surface Væ+ Vỹ+vz = Vc at the point (xo, Yo, zo). Assume c> 0 is a constant. (b) Show the sum of the -, y- and z- intercepts of any tangent plane to this surface is a constant (that is, the same constant, no matter which tangent plane you’ve chosen!), and find the constant

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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1. (a) Write down an equation for the plane tangent to the surface Vr+ Vy+ Vz = Vc at the
%3D
point (xo, Yo, zo). Assume c > 0 is a constant.
(b) Show the sum of the x-, y- and z- intercepts of any tangent plane to this surface is a
constant (that is, the same constant, no matter which tangent plane you've chosen!),
and find the constant.
Transcribed Image Text:1. (a) Write down an equation for the plane tangent to the surface Vr+ Vy+ Vz = Vc at the %3D point (xo, Yo, zo). Assume c > 0 is a constant. (b) Show the sum of the x-, y- and z- intercepts of any tangent plane to this surface is a constant (that is, the same constant, no matter which tangent plane you've chosen!), and find the constant.
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