Problem Set 1

Problem Set 1 - partial derivative in terms of y. 21. f (...

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Problem Set 1 Due: Friday, January 16th Please provide your answers on a separate sheet and write as neatly as possible. Clearly note each final answer by circling or boxing it. Section 1 : Please simplify the following equations as much as possible. 1. 10 3 / 4 2. 7 4 / 1 4 3. x 3 / 2 x 1 / 2 4. x - 3 / 2 x - 1 / 2 5. 4 x 4 y 2 2 xy 3 6. 1 2 x / x y 7. x 10 - a y 10+ b x 10+ a y 10 - b Section 2 : Solve the following equations for Q 8. 10 - 2 Q = 3 + 6 Q 9. a - bQ = c + 2 eQ Section 3 : For each of the following function take the total derivative in terms of x. a and b are positive constants. 10. f ( x ) = x 11. f ( x ) = x 3 12. f ( x ) = 4 x + 3 13. f ( x ) = x 2 + 3 x 14. f ( x ) = x 15. f ( x ) = 1 x 16. f ( x ) = 1 x 2 17. f ( x ) = ax 18. f ( x ) = ax 2 19. f ( x ) = ax + b 20. f ( x ) = ax 2 + bx 1
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Section 4 : For each of the following function take the partial derivative in terms of x and the
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Unformatted text preview: partial derivative in terms of y. 21. f ( x, y ) = x + y 22. f ( x, y ) = x 2 + 2 x + y 23. f ( x, y ) = xy 24. f ( x, y ) = 2 x y 25. f ( x, y ) = x 2 + 2 x + xy + y 2 + 2 y 26. f ( x, y ) = x + x y + y x Section 5 : Find the x that maximizes or minimizes f(x), then identify whether that x is a maximizer or minimizer. 27. f ( x ) = x 2-3 x 28. f ( x ) = 16 x-4 x Section 6 : Complete the following problems from the textbook. 1.3, 1.11 2...
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Problem Set 1 - partial derivative in terms of y. 21. f (...

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