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Application 7) A spherical ball is inated where the surface area is given by 5' = Hd2.:[9 marks] a) Find the rate of change of the surface area of the balloon with respect to the diameter when the diameter is 16 cm. b) What does die rate of change imply about the relationship between surface area and the diameter? c) What is the average rate of change from when the balloon has a diameter ofm to 10 cm? Thinking x + 4 if x 2 continuous everywhere [ 5 Marks] 9) a) Find the equation of the tangent to the curve y = Vx 4 + 2 where the curve intersection the x-axis. [4 Marks] b) Consider the original function again, 31 = \\/x 4 + 2, does the limit exist when x = 4? Why or why not? [1 Marks] x|x+3|+3 10) Giveng(x) = Ix||x+3| , determine lim3 g(x) and show all of your work. [5 Marks] x4