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Unformatted text preview: 1 equals 2 cos2 x, which, since 2 2 (c) Length 4. 0. f (x) has a cusp 5. (a) y 2 y y
2 1.047 2x 1 2
7 1 6. f (x) has a corner at x
d 7. (5x 2/3) dx 10 3
3 2y 2y 2x 1, so (y 1)2 2x 2, and
1 2x 2 2 is undefined at x
x there. 8.
d ( dx
5 1. Then y 1
1 2x , and x 3) 1 is undefined for x 5(x 3)4/5 3. (b) 2. k , Length dx. f (x) has a vertical tangent there. 9. 10. x2
d 1 dx 4x
3 4 sin x x 2 has a corner at x cos x is undefined for x 3(sin x)2/3 where k is any integer. f (x) has vertical tangents at these values of x. 6. (...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.
 Spring '08
 GERMAN

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