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Unformatted text preview: result? Which one contributes the least? 3. A missile leaves the ground with an initial velocity v forming an angle with the vertical. The maximum desired altitude is h = R , where R is the radius of the earth. The laws of mechanics can be used to show that sin( ) = (1 + ) s 1- 1 + v e v 2 , where v e is the escape velocity of the missile. It is desired to re the missile and reach the design maximum altitude with an accuracy of 2%. Determine the admissible range of values for , both using rst-order (linear) error analysis, and exactly, if v e /v = 2 and = . 25. 4. Give the condition numbers for the following functions: a. f ( x ) = 1 p | x + 1 | -1 , for x = . 0001 , b. f ( x ) = e-x , for x = 9 , c. f ( x ) = p x 2 + 1-x, for x = 200 , d. f ( x ) = e x-1 x , for x = . 01 , e. f ( x ) = sin( x ) 1 + cos( x ) , for x = 1 . 001 ....
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- Spring '05