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Unformatted text preview: ASSIGNED PROBLEMSMATH 75 APPENDIX A 1. Solve the inequality: 2 <  3 x  ≤ 8 2.Solve the equation:  2 x 3  =  3 x  3.Solve the inequality: x 2 3 x 10 > APPENDIX B 1. Find the equation for the line passing through (2,9) with a yintercept of 5. 2.Find the equation of the line passing through (1,1) and parallel to the line 4y8=x+4. APPENDIX C 1.Identify the type of curve and sketch the graph. Do not plot points. Just use the standard graphs of parabola, ellipse and hyperbola and shift the graph if necessary. (a) y = x 2 2 x 2 (b) 4 x 2 + y 2 6 y + 5 = 0 APPENDIX D 1. Given cos θ = 3 / 5, find the remaining trigonometric ratios. 2.Find all values of x in the interval [0 , 2 π ] that satisfies the equation: sin(2 x ) = cos x SECTION 1.1 1. Find the domain of the function f ( x ) = √ 4 x x 3 x 2.An open rectangular box with a volume of 3 m 3 has a square base. Express the surface area of the box as a function S(x) of the length x of a side of the base. SECTION 1.2 1. Match each function to its graph. x 5 , x 2 , x 3 A B C 0 . 5 0 . 5 1 1 . 5 x 0 . 5 0 . 5 1 1 1 . 5 1 2. The manager of a furniture factory finds that it costs $ 2200 to manufacture 100 chairs in one day and $ 4800 to produce 300 chairs in one day. a. Express the cost as a function of the number of chairs produced, assuming that it is linear. Then sketch the graph. b. What is the slope of the graph and what does it represent? c. What is the yintercept of the graph and what does it represent? SECTION 1.3 1. If f(x)=1 x 2 , g(x)= √ x + 1, find (f.g)(x) and (g.f)(x) if the exist and state their domains. 2.If f(x)=x+3 and h(x)=x2, find a function g such that g.f=h 3.If f(5)=4, g(2)=5,f(0)=0, g(0)=3,f(3)=0,f(2)=2,f(4)=2,calculate the values: a.f(g(2)), b. g(f(0)), c.g(g(0)), d.f(f(4)) SECTION 1.5 1. Make a rough sketch of:1....
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 Spring '06
 YUKICH
 Derivative, YIntercept, lim

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