√ and g(x)= )=x² Let R be the region in the first quadrant bounded by the x-axis and the curves f(x) = - revolved about the x-axis, which of the following expressions gives the volume of the resulting solid? I. *m(f(x)² = g(x)²)dx Sªnf(x)² dx - √ng(x)² dx III. [² mf(x)² dx + √* n(f(x)² = g(x)²³) dx O I only OIII only II. I and III only II and III only -x-1. If R is

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Let R be the region in the first quadrant bounded by the x-axis and the curves bartleby

Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)=√ and g(x)=x-1. If R is
revolved about the x-axis, which of the following expressions gives the volume of the resulting solid?
I.
*(f(x)² = g(x)³²) dx
II. *mf(x)}² dx - * mg(x)²dx
III.
·Sªmf(x)²dx + Sªm(f(x)² − g(x)²}dax
I only
III only
I and III only
II and III only
Transcribed Image Text:Let R be the region in the first quadrant bounded by the x-axis and the curves f(x)=√ and g(x)=x-1. If R is revolved about the x-axis, which of the following expressions gives the volume of the resulting solid? I. *(f(x)² = g(x)³²) dx II. *mf(x)}² dx - * mg(x)²dx III. ·Sªmf(x)²dx + Sªm(f(x)² − g(x)²}dax I only III only I and III only II and III only
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