Help needed with question 1 and 60 attached below thanks.

1.) (10 pts.) For the function f(x,y) = x2 + 4xy y2 at P(2,1) a.) Find the unit vectors that give the direction of steepest ascent and descent at P. b.) Find a vector that points in a direction of no change in the function at P. 60. Line tangent to an intersection curve Consider the paraboloid z = x2 + 3y and the plane z = x + y + 4, which intersects the paraboloid in a curve Cat (2, 1, 7) (see figure). Find the equation of the line tangent to C at the point (2, 1, 7). Proceed as follows. a. Find a vector normal to the plane at (2, 1, 7). b. Find a vector normal to the plane tangent to the paraboloid at (2, 1, 7). c. Argue that the line tangent to C at (2, 1, 7 ) is orthogonal to both normal vectors found in parts (a) and (b). Use this fact to find a direction vector for the tangent line.d. Knowing a point on the tangent line and the direction of the tangent line, write an equation of the tangent line in parametric