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 Suppose that the height of a plane t minutes after take off is h(t)=3500 ln(t+1) feet for 0 (less than or equal to) t (less than or equal to) 15. How fast is

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Suppose that the height of a plane t minutes after take off is h(t)=3500 ln(t+1) feet for 0 (less than or equal to) t (less than or equal to) 15. How fast is the plane rising 5 minutes after take off? 

Apologies but I don't know how to do the less than or equal to symbol 

 Feb 29, 2016

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 #1
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You may be in my class because I have the same question on my hw

 Feb 29, 2016
 #2
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h(t)=3500 ln(t+1)     we need to find the derivative here

 

h' (t)  = 3500 [ 1 / (t + 1) ]   =   3500/ [t + 1]

 

So

 

h ' (5)  =  3500 / [ 5 + 1]   ≈  583.3 ft/ min

 

 

cool cool cool

 Feb 29, 2016

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