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Show transcribed image text (a) Use the second derivative test to examine the relative extrema of the following functions G) (x)2-2 (ii) f(x)=x2+250 (b) A cylindrical container with circular base is to hold 9 m3. Find its dimensions so that the amount (surface area) of metal required is a minimum when the container is a closed can. Figure 1 Hint: The total surface area, A of the cylinder is Atop surface+ side surface+ bottom surface-π't2rn+r' and The volume V ofthe cylinder is.1_r'h]
(a) Use the second derivative test to examine the relative extrema of the following functions G) (x)2-2 (ii) f(x)=x2+250 (b) A cylindrical container with circular base is to hold 9 m3. Find its dimensions so that the amount (surface area) of metal required is a minimum when the container is a closed can. Figure 1 Hint: The total surface area, A of the cylinder is Atop surface+ side surface+ bottom surface-π't2rn+r' and The volume V ofthe cylinder is.1_r'h]
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