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AMAT217Lab8

# AMAT217Lab8 - AMAT 217 Problems for Labs 1 Find the slope...

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AMAT 217 Problems for Labs 1. Find the slope of the line tangent to the curve x 2 u y 2 e x u y U 2 at the point u 1,1 U on the curve. 2. Find an equation of the line tangent to the curve y U u x u 1 U 6 u 2 x u 3 U 4 u 5 u 2 x U u 4 x u 7 U 2 u 13 u 6 x U 5 at the point u 2,1 U on the curve. 3. A hard boiled egg is removed from a pot of hot water at 101 0 C and is left to cool in a room where the temperature is maintained at 20 0 C . After 10 minutes the egg has cooled to a temperature of 74 0 C . u a U What is the temperature of the egg after 20 minutes ? u b U When will the egg’s temperature be 36 0 C ? Assume Newton’s Law of Cooling. 4. A cup of boiling water u 100 0 C U is placed outside. One minute later the temperature of the water is 70 0 C and after another minute, its temperature is 49 0 C . What is the outside temperature (the medium) ? 5. The half life of a radioactive substance is about 300 years. In how many years will only one u fourth of the original amount remain ?

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