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Conceptual Problems 5 1. Let r(t) be a vector valued function defined on -co

Conceptual Problems 5 1. Let r(t) be a vector valued function defined on differential equation d2r with initial conditions dr (O) = (3,4) and Cornpute, r(t). 2. If f (u, v, w) is a differentiable, function and u show that 3. Suppose that the tangent plane to the graph of 4 oc < t < satisfying the = y 2 and = z (1) at the point (2, 2, v'Q) is of the form : = ax -F by + c. Find a, b, and c. 4. Let F(x, y, z) + Y2 422. Find an equation of the plane that is tangent to the level surface F (x, y, 2) = O at the point (2, 2) using the gradient of F.