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Unformatted text preview: Math 1120, Fall 2011 Homework 4 due 9/22 or 9/23 2 (b) How many such curves are there? Explain your answer. 2. [10 points] (6.4: 28, adapted) If you cut a spherical loaf of bread into slices of equal width then each will have the same amount of crust. Explain this by showing that if the arc of the semicircle y = r 2-x 2 , for a x a + h , where a and a + h are between-r and r , is rotated around the x axis, then the area swept out does not depend on a . CONTINUE TO THE NEXT PAGE. Math 1120, Fall 2011 Homework 4 due 9/22 or 9/23 3 3. [10 points] Find the area of the surface generated by revolving the parametrized curve x = sin 2 t , y = 2 + cos 2 t , 0 t 2 about the x axis. THIS IS THE LAST PAGE....
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