1- For f(x)=3xV(4-x2) determine the absolute max and min values within its domain. (4marks) 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is given by h(t)=t3 - t2 t +1, where "h\" is measured in kilometers and t In hours. If the height h was recorded between the first and the second hour of motion 05 tSZ find.(2 marks) a- The velocity of the hot-air balloon at t=1h. b- The acceleration of the balloon when the velocity is zero. 3- A box with an open top is to be constructed from a square piece of cardboard, 3m wide , by cutting out a square piece from each of the four corners and bending up the sides. Find the largest volume of such a box.(3 marks) 4- Determine an expression for dy/dx. 3(y-2)3 x3: 4x 6. (3 marks) Application 5- For the function f(x)=x3/3(x2-3) 3/2, determine: ( 6 marks) a- The domain. b- The x and y intercepts. c The max and min points and Sketch the graph