Multiple choice Let f(x) = 12x. The area of the surface generated when the graph of f

Multiple choice

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Let f(x) = 12x². The area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is twice the area of the surface generated when the graph of f on [0,4] is revolved around the y-axis. True. Since the graph of f is symmetric about the y-axis, the surface area generated when the graph of f on [-a,a] is revolved around the y-axis is twice the area of the surface generated when the graph of f on [0,a] is revolved around the y-axis. False. The area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is undefined since 12x² is not one-to-one on the interval [ -4,4]. False. Since the graph of f is symmetric about the y-axis, the area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is the same as the area of the surface generated when the graph of f on [0,4] is revolved around the y-axis. True. The surface area generated when any function is revolved around the y-axis on an interval of length 2a is twice the area of the surface generated when the function is revolved around the y-axis on an interval of length a. Let f(x) = 12x². The area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is twice the area of the surface generated when the graph of f on [0,4] is revolved around the y-axis. True. Since the graph of f is symmetric about the y-axis, the surface area generated when the graph of f on [-a,a] is revolved around the y-axis is twice the area of the surface generated when the graph of f on [0,a] is revolved around the y-axis. False. The area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is undefined since 12x² is not one-to-one on the interval [ -4,4]. False. Since the graph of f is symmetric about the y-axis, the area of the surface generated when the graph of f on [-4,4] is revolved around the y-axis is the same as the area of the surface generated when the graph of f on [0,4] is revolved around the y-axis. True. The surface area generated when any function is revolved around the y-axis on an interval of length 2a is twice the area of the surface generated when the function is revolved around the y-axis on an interval of length a.

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ANS WER True The surface area generated when any function is rev olved around the ... View the full answer