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Unformatted text preview: B is sailing north at 25km/h. How fast is the distance between the ships changing at 4:00pm., 7. Use linear approximation to estimate the given number: (a) (8 . 06) 2 3 (b) cos 31 . 5 ◦ 8. Use diﬀerentials to estimate the amount of paint needed to apply a coat of paint 0 . 05cm thick to a hemispherical dome with diameter 50m. 9. (a) Sketch the graph of a function on [-1 , 2] that has an absolute maxi-mum but no local maximum. (b) Sketch the graph of a function on [-1 , 2] that has a local maximum but no absolute maximum. 10. Find the absolute maximum and absolute minimum values of f on the given interval 1 (a) f ( x ) = x x 2 +1 on [0 , 2] (b) f ( x ) = sin x + cos x on [0 , π/ 3] 2...
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- Spring '10
- Derivative, absolute maximum