Answer all of question in details and with explanation

Q1. Find the volume of the region bounded above by the paraboloid z = 9 1t2 y2, below by the xy-plane, and lying outside the cylinder 1::2 + y2 = 2. (5 marks) Q2. Determine the arc length of the curve r(t) = (9 ti + es! sin ti + e t cos t k) on the interval 0 S t S 21!. (5 marks) 0.3. Evaluate the line integral below: _I' 12 x r: ds where C consists of an are C, of a parabola y = x2 from (O, O) to (1, 1), followed by a horizontal line C; from (1, 1) to (5, 1). (7 marks)