تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
5. A rectangular garden measuring 800 m² is to be enclosed on two
parallel sides by a stone wall that costs $35 per metre and the
other two sides by wooden fencing that costs $20 per metre. What
dimensions will minimize the total cost of enclosing the garden
and what is the minimum cost (rounded to the nearest dollar)?
6. Use differentials to approximate each of the following. Give
your answer as a fraction.
[10
a. √82
b. √10001
dy
7. Find using implicit differentiation for the curve
dx
x22x3y²+5y+2=0.
8. Suppose that the number of traffic accidents in a region is modelled
by N(p) = p²+2p+ 3000 where the population is p thousand. If the
population is currently 40000 and is increasing at the rate of 3000
people per year, at what rate is the number of traffic accidents
increasing?
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