Test 1 practice problems-solutions

# Test 1 practice problems-solutions - Answers to Test 1...

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Answers to Test 1 Practice Problems: 1) 2.7183 2) a) " 1 b) 4 5 c) ! 1 3 d) 1 10 e) !" 3) a) L = 2 ! = .1 b) L = ! 2 " = .075 4) a) 1, This yields the slope of the (secant) line through the points ( ! 1,1) and (2,4) on the graph of y = x 2 b) 2, This yields the slope of the line that is tangent to the graph of y = x 2 at the point (1,1) c) Part b 5) a) 214 200 = 229 214 = 245 229 = 262 245 = 1.07 In an exponential function the ratios of the successive terms are equal. b) P ( t ) = 200(1.07) t c) 450 people d) t = 18.5 years. So in year 2008. 6) (I used Mathematica for the calculations. You could use your calculators) t1=100.862-.0415*Sqrt[4000+431.03] 98.099512 t2=100.862-.0415*Sqrt[4500+431.03] 97.947816 Since T ( h ) is a continuous function and T (4500) < 98 o < T (4000) there is a corresponding elevation,

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