1007Test1_09sol

1007Test1_09sol - Test 1, Wednesday January 28, 2009 MATH...

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Unformatted text preview: Test 1, Wednesday January 28, 2009 MATH 1007G Last Name :_________________ First Name:_______________ ID #:____________________ Total marks:36 Total time: 50 minutes No Calculators are allowed. Show your work. Question 1. [3 marks] Find an expression for the function f whose graph is the straight line through the points ( , ) 3 5 and ( , ) 2 4- in the xy- plane. The slope of the straight line through the points ( , ) 3 5 and ( , ) 2 4- is m =- -- = 5 4 3 2 9 ( ) The equation of the straight line is y x y x- = - ⇒ = - 5 9 3 9 22 ( ) So f x x ( ) = - 9 22 is the function. Question 2. a) [3 marks] Find all the values of x in [ ] 0 2 , π such that 2 2 sin sin cos x x x + = . 2 2 2 1 sin sin .cos sin ( cos ) x x x x x + = ⇒ + = So, either sin x = 0 or 1 + = cos x Since x in [ ] 0 2 , π , sin , , x x = ⇒ = 2 π π and 1 + = ⇒ = cos x x π So, x = 2 , , π π Question 3. [10 marks] Simplify a) log log log log * log log 2 15 2 6 2 20 2 15 6 20 2 1 8 2 2 3 3- - = = =- = - b) log (ln )...
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This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

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1007Test1_09sol - Test 1, Wednesday January 28, 2009 MATH...

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