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Unformatted text preview: MATH023 Review Exercises 1. Find the lengths of the following curves: a. g = 8G + 8 , = 8 8 G from = 0 to = b. g = + from = 1 to = 2 . Hint: 1 + (dx/dy) 2 is a perfect square. c. 3 , ) ln(cos = x x y d. 1 , 2 cosh 3 2 1 + = x x y e. = , 0 2. Setup an integral for the length of the following curves and use your calculator to find the curves length numerically. a. 3 , tan  = x x y b. 2 / 1 2 / 1 , 1 2  = y y x c. ) 3 , 7 ( to ) 1 , 1 ( from 1 2 2 2 + = + x y y d.  = x x x x y , cos sin 3. Setup an integral for the circumference of the ellipse 3g + = 3 . 4. Find the lateral surface area of the cone generated by revolving the line segment = , 0 g 4 about the (a) xaxis and (b) yaxis. 5. Find the area of the surface generated by revolving = 4 about the (a) polar axis and (b) 90 o line 6. Setup...
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 Spring '11
 SMITH

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