Section 10.7: Problem 8 (1 point) Find the derivative of the vector function r(t) = In(7 - t?)i + V14 + ti - 7e-9tk r' ( t ) = Section 10.7: Problem 6 (1 point) Find a vector function that represents the curve of intersection of the paraboloid z = 42:2 + 51/2 and the cylinder 1; = 6x2. Use the variable t for the parameter. r02) = :8, Q) Section 10.7: Problem 20 (1 point) Find the solution r( t) of the differential equation with the given initial condition: r'{t) = (sin8t, sin 5t, 3t), r(0) = (2, 2, 7) rm = BUD