3 4. The curve y= -3x +2x -7 is the path of a moving point. If the x-coordinate of this point is increasing at the rate of 2 units/s when x = 5, at what rate is the y-coordinate changing? Mathematics 31 - Module 6 10 Assignment Booklet 5 5. The height h of the right triangle shown is increasing at a rate of 1 unit/s. Find the rate at which 0 (in rad/s) is changing when h = 8. 6 units Mathematics 31 - Module 6 11 Assignment Booklet Final Module Assignment 30 Read all parts of your assignment carefully and record your answers in the appropriate places. 4 1. If the sum of two positive numbers is 8, show that the square of one number added to the cube of the other is at least 44. 4 2. If the price of each ticket to a concert is $16, a total of 4000 tickets will be sold. For each $1 increase in price, ticket sales will decrease by 100. What should the ticket price be set at in order to maximize revenue