Reference no: EM131013361
1. Find the equations of the tangent plane and normal line to the surface
x2 - 6 y2 + z2 - xy + 2 yz = 3
at the point P(2, -1,3).
2. Find the linear approximation of the function
f(x,y,z) = √(x2 +y2 + z2)
at (4,4, 7) and use it to approximate the number √(4.032+3.982+6.992).
3. Use chain rule to find dw/dt with w = ln √xyz and x = cos t, y =sint, z = t2.
4. Use the equation
x2 sin(y - 2z) = y cos(6zx) + 3
to find ∂z/∂x and ∂z/∂y.
5. Use the Chain rule to find the partial derivatives ∂z/∂s and ∂z/∂t ,if z = er cos θ, r = st, θ = √(s2+t2).
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