Question: 26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by V(x) = 4x-x, where x is
26. A carpenter is constructing a large cubical storage shed. The volume of the shed is given by V(x) = 4x-x, where x is the side length in meters 4 Determine the average rate of change in volume when the sides lengths are between 1 m and 3 m. (3 marks) x=1m to x = 3m = V (3) V(1) (423) + (3)) - (401) - (133 = 2 3-1 = 11.99 3.75 = 4.12 m 9. 2 ) Determine the instantaneous rate of change when the side length is 2 m using the difference quotient. (3 marks) f(a+h) f(a) = lim h+o lim h0 = h
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