Reference no: EM131007558
1. Given f(x,y, z) = √(z- x2 - y2)
(a. Find and sketch the domain of this function.
(b. Find all the first order partial derivatives of this function at (1, 1,3).
2. Suppose that xz -x In y = z2. Find dz/dx and dz/dy at (1, 1, 0).
3. Given r→(t) = e2t sin ti→ + 2j→+ e2t cos tk→ with 0 ≤ t ≤ π.
(a) Find an equation of the tangent line to the curve at the point (0,2,1)
b. Find the length of this plan curve from (0, 2,1) to (eπ, 2, 0).
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