MA170wk1solutions

# MA170wk1solutions - MA170 Week 1 Report& Review Solving...

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Unformatted text preview: MA170 Week 1 Report & Review: Solving Equations; Exponents Â¡ Logarithms Name: Lab: Fall 2010 Please show all steps in your solutions to the following problems. Insuf&cient justi&cation will result in a loss of marks. 1. [5 marks ] Fully simplify the following expressions. Where appropriate, express your &nal answer with positive, rational exponents. (a) & a 4 a & 1 b 1 = 2 Â¡ 2 & a 4 a & 1 b 1 = 2 Â¡ 2 = & a 3 b 1 = 2 Â¡ 2 = & a 3 Â¡ 2 & b 1 = 2 Â¡ 2 = a 6 b (b) p m 3 3 p n 2 p nm 4 ! & 3 p m 3 3 p n 2 p nm 4 ! & 3 = m 3 = 2 n 2 = 3 ( nm 4 ) 1 = 2 ! & 3 = Â¢ m 3 = 2 n 2 = 3 n 1 = 2 m 2 Â£ & 3 = & m & 1 = 2 n 1 = 6 Â¡ & 3 = m 3 = 2 n & 1 = 2 = m 3 = 2 n 1 = 2 2. [9 marks ] Solve the following equations for the unknown quantity. (a) 750 (1 : 05) & x = 200 [Correct to 3 decimal places.] ) 1 : 05 & x = 200 750 ) ln 1 : 05 & x = 4 15 ) & x ln 1 : 05 = ln 4 15 ) x = & ln Â¢ 4 15 Â£ ln 1 : 05 ) x : = 27 : 091 1 (b) & 1 + : 045 2 Â¡ 2 = & 1 + j 12 Â¡ 12 [Using all decimal places provided by your calculator.][Using all decimal places provided by your calculator....
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MA170wk1solutions - MA170 Week 1 Report& Review Solving...

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