scan0072 - AiVlS 151.2 Applied Calculus I Prerequisite Test...

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Unformatted text preview: AiVlS 151.2 Applied Calculus I Prerequisite Test Sep. 18, 2007 Name: MArrrHE‘Q/ MIN 0 ID: 057 H 3'4 MW”, Please also write both your name and ID number CLEARLY on each page of the answer sheets. In order to receive full credit, please show all work and justify your answers. is. ‘h xi 1,. 1. (10pts) Find the equation of the line through the points (4, —1) and (2,2). 2. (10pts) Find the point of intersection of the lines y + 2x : 4 and 2y — 5m + 1 = 0. 3. (10pts) Solve this equation for t: 'u; : C + [5—3. 4. (Bpts) Which ofsthe following is equal to X: a 1'5? l. “5'75 .03 l} 6 ~2 37-4 [m$—§Jy—4], f (0%; bfiXy: (21%; d)? 5. (5pts) What is Silll:z4~)? NIH 6. (10pts) The inequality 423$! 5 5 describes an interval on the line. Find that interval. 7. (lOpts) Find all real numbers a: satisfying 9:2 — 6.77 > 16. 8. (lopts) Let f(.’17): m2 +1 and let 9(1') = git—i Determine f(g(0)) and g(f(0)) 9. (lflpts) Find all numbers a: satisfying xiZ +% = 1. 10. (lOpts) A population of bacteria grows by 15% every 8 hours. If there are 20 milligrams of bacteria at noon at Tuesday, write an expression for how much there will be at noon on Wednesday. 11. (10pts) Find :2: satisfying log10(2m) A logw(3$3) = 3. Bonus. (Spts) If a triangle has edge lengths 5,12,13 cm, what would be its area? ...
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