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Area and Volume In Exercises 71 and $72,$ consider the region satisfying the inequalities. (a) Find the area of the region. (b) Find the volume of the solid generat...

Question

Area and Volume In Exercises 71 and $72,$ consider the region satisfying the inequalities. (a) Find the area of the region. (b) Find the volume of the solid generated by revolving the region about the $x$ -axis. (c) Find the volume of the solid generated by revolving the region about the y-axis. $$ y \leq \frac{1}{x^{2}}, y \geq 0, x \geq 1 $$

Area and Volume In Exercises 71 and $72,$ consider the region satisfying the inequalities. (a) Find the area of the region. (b) Find the volume of the solid generated by revolving the region about the $x$ -axis. (c) Find the volume of the solid generated by revolving the region about the y-axis. $$ y \leq \frac{1}{x^{2}}, y \geq 0, x \geq 1 $$



Answers

Area and Volume In Exercises 71 and $72,$ consider the region satisfying the inequalities. (a) Find the area of the region. (b) Find the volume of the solid generated by revolving the region about the $x$ -axis. (c) Find the volume of the solid generated by revolving the region about the y-axis.
$$
y \leq \frac{1}{x^{2}}, y \geq 0, x \geq 1
$$


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