Unformatted text preview: 3. Section 12.5, Page 552  553 # 2  4, 7, 8, 11  16, 22  25, 28. 4. Section 12.7, Pages 560 # 4  8, 11, 12, 15, 17  19, 23, 26  28, 31, 32, 34. 5. Section 13.1, Pages 576  578 # 1  3, 5, 6, 9, 10, 13, 14, 16. 6. If the equation xy + y 2 = 2 x deﬁnes y implicitly as a function of x , verify that y 00 =8 ( x + 2 y ) 3 7. Find all values of the Greek letter λ (pronounced ”lambda”) for which the function y = e λx is a solution to the equation y 00 + y2 y = 0. What happens if you rework the problem for the equation y 00 + y + 2 y = 0 ? 8. Find the ”formula” for the function H ( n ) = f ( n ) (1) where f ( x ) = e2 x and n is a natural number. 9. Find y where (a) x y = y x (b) y = x a e kxc where a,c and k are constants. 10. Find the cubic polynomial Q for which Q (1) = 1, Q (1) = 3, Q 00 (1) = 6 and Q 000 (1) = 12. 11. Section 12.6, Page 556 # 1  3, 9  16....
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 Spring '11
 Grinnell
 Math, 175, Scarborough, Computer & Mathematical Sciences, relevant text readings, similar lecture notes

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