4th - Calculus With Analytic Geometry Hakan TOR March...

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Unformatted text preview: Calculus With Analytic Geometry Hakan TOR March 19,2010 1. For each of the numbers a, b, c, d, e, r, s, and t, state whether the function whose graph is below has an absolute maximum or minimum, a local maximum or minimum, or neither a maximum nor a minimum. Solution: Absolute maximum at e ; absolute minimum at t ; local maxima at c , e , and s ; local minima at b , c , d , and r ;neither a maximum nor a minimum at a . 2. (Optional) Use the graph to state the absolute and local maximum and minimum values of the function. Solution: Absolute maximum value is f (8) = 5; absolute minimum value is f(2)=0 ; local maximum values are f(1)=2,f(4)=4 , and f(6)=3; local minimum values are f(2)=0, f(5)=2, and f(7)=1. 3. Find the critical numbers of the function g ( θ ) = 4 θ- tan θ . Solution: θ = π 3 + 2 nπ 1 4. Find the absolute maximum and absolute minimum values of f on the given interval....
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This note was uploaded on 04/30/2010 for the course MATHEMATIC MATH 119 taught by Professor Tor during the Spring '10 term at Middle East Technical University.

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4th - Calculus With Analytic Geometry Hakan TOR March...

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