1. The surface area of an inflating weather balloon is described by A(x) = 4x 1...

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1. The surface area of an inflating weather balloon is described by A(x) = 4x 1 where x is the number of seconds and A is measured in L. a) Determine the average rate of change between 3 and 9 sec. (3 marks) b) Determine the instantaneous rate of change at 5 seconds using the difference quotient. (3 marks) 2. Evaluate each limit, if it exists. Show all steps. x +8x+16 x-16 a) lim x1 x +1 X-2 x+1 b) lim c) d) 1 lim x-3 x-2 3x+1 lim x 4x-1 4 x-4/ 1. The surface area of an inflating weather balloon is described by A(x) = 4x 1 where x is the number of seconds and A is measured in L. a) Determine the average rate of change between 3 and 9 sec. (3 marks) b) Determine the instantaneous rate of change at 5 seconds using the difference quotient. (3 marks) 2. Evaluate each limit, if it exists. Show all steps. x +8x+16 x-16 a) lim x1 x +1 X-2 x+1 b) lim c) d) 1 lim x-3 x-2 3x+1 lim x 4x-1 4 x-4/