Match the following with their descriptions: 

Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

Provide an appropriate answer.Find when u = -5 and v = -7 if w(x, y, z) = , x = , y = u + v, and z =

Evaluate the line integral along the curve C.ds, C is the curve r(t) = (6 sin 2t)i + (6 cos 2t)j + 5tk, 2 ≤ t ≤ 4

Match the following with their descriptions: 

What is the main function of the rods in the eye? 

Using Green’s Theorem, compute for the given path C. Assume C is closed and positive orientated. F = (9x + 2y)i + (8x – 6y)j; C is the region bounded above by y = -3×2 + 96 and below by in the first quadrant

Find the triple scalar product (u x v) ∙ w of the given vectors.u = -5i – 3j + 4k; v = 5i – 3j + 8k; w = 9i – 5j – 4k

Write the equation for the plane.The plane through the points P(-1, 7, -36) , Q(2, 6, -17) and R(1, -7, 30). 

Solve the problem.Write an iterated triple integral in the order for the volume of the tetrahedron cut from the first octant by the plane .