Exercise 1 Find the parametric equation of the cone z = x + y, over the...

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Exercise 1 Find the parametric equation of the cone z = √√x² + y², over the circular region x² + y² ≤ 4. Plot the surface Exercise 2 Find the implicit equation of the plane given by the parametric equation. r(u,v) = 4ui-vj+vk, 0≤u≤ 2, 0≤ v≤1. Plot the surface. Exercise 3 Find the explicit equation of the paraboloid given by the parametric equation r(u,v) = 2u cosvi+2u sinvj+u²k,. 0≤u≤2, 0≤v≤ 2π Exercise 4 Plot the surface S given by z = 2, x² + y² ≤1. Find a parametric equation for the surface S. Exercise 5 Find a parametric equation of the surface S: 2x+3y+6z=12, first octant. Plot the surface S. Exercise 1 Find the parametric equation of the cone z = √√x² + y², over the circular region x² + y² ≤ 4. Plot the surface Exercise 2 Find the implicit equation of the plane given by the parametric equation. r(u,v) = 4ui-vj+vk, 0≤u≤ 2, 0≤ v≤1. Plot the surface. Exercise 3 Find the explicit equation of the paraboloid given by the parametric equation r(u,v) = 2u cosvi+2u sinvj+u²k,. 0≤u≤2, 0≤v≤ 2π Exercise 4 Plot the surface S given by z = 2, x² + y² ≤1. Find a parametric equation for the surface S. Exercise 5 Find a parametric equation of the surface S: 2x+3y+6z=12, first octant. Plot the surface S.

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