ó. The altitude h (in feet) of a 1500r 16-20000. What is the maximum altitude th

Question

ó. The altitude h (in feet) of a 1500r 16-20000. What is the maximum altitude the rocket attains? certain rocket as a function of the time (in seconds) after launching is given by h- A special insulation strip is to be sealed completely around three edges of a rectangular solar panel. If 200cm of the strip are used, what is the maximum area of the panel? (A hv) 2. A horse corral is enclosed by fencing and is divided into two areas by internal fencing parallel to one f the sides. What dimensions will give the maximum area for the corral if a total of 1500 m are used? 7

Explanation / Answer

Let the sides be a and b and the internal fencing be parallel to the side with length a

So lenght of fencing is

3a+2b=1500

a=500-2b/3

Area,A=ab=(500-2b/3)b=500b-2b^2/3

dA/db=500-4b/3=0

gives

b=375

a=2b/3=250

So the dimensions which give maximum area are

250m and 375 m with fencing parallel to side with length 250 m

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