Illustrate the operation of inserting the value 10 on the max-heap a = < 15, 13, 9, 5, 12, 8, 7, 4, 0, 6, 2, 1> . show the values in the heap and a pointer to the current element before each iteration of the main loop (while). feel free to use the tree or the array representation of the heap. (4 points) note: you can use the back of page 5 to write your answer

Amixture of slurry and mud is to be pumped through a horizontal pipe of diameter 500 mm. the fluid behaves as a bingham plastic with a yield stress of 30 pa and viscosity 0.04 pa.s. describe the effects of the shear stress through a transverse section of the pipe by plotting the variation in shear stress and velocity profile: (i) just before the slurry starts to move (ii) as the slurry flows when the pressure gradient is double that in part (i)