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practice-prereq-1

# practice-prereq-1 - x 2 1/x = 1 10 Find x satisfying 22 x =...

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AMS 151.1 Applied Calculus I Instructor: Ryan Kaufman Prerequisite Practice Test IN ORDER TO RECEIVE FULL CREDIT, PLEASE SHOW ALL WORK AND EXPLAIN YOUR REASONING. NO CREDIT WILL BE GIVEN FOR A NUMERICAL ANSWER WITHOUT SOME WRITTEN EXPLANATION. 1. Find the equation of the line through the points (1 , 3) and (3,1). 2. Find the equation of the line through the point (2 , 3) and with slope 2. 3. Solve this equation for t : y = A + C/ (2 - t ) 5. The inequality | 3 - x | 2 4 describes an interval on the line. Find that interval. 6. Find all real numbers x satisfying x 2 + 3 x > 10 7. What is the area of the triangle bounded by the lines y = 2 x , y = - 3 x + 15, and the x axis. 8. Let f ( x ) = x 2 - 1 and let g ( x ) = ( x +1) ( x +2) . Determine f ( g (0)) and g ( f (0)). 9. Find all numbers x satisfying 1
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Unformatted text preview: / ( x + 2) + 1 /x = 1. 10. Find x satisfying 22 x = 8( x + 1). 11. What is sin (5 π/ 4)? 12. Calculate the area of the following right angle triangle where angle ABC is a right angle, angle ACB is 60 degrees, and edge AB measures 8cm. What is the length of hypotenuse AC ? 60 A B C 8 13. What is the area of the triangle bounded by the lines y = 2 x , y =-3 x + 15, and the x axis. 14. A population of bacteria grows by 30% every 6 hours. If there are 10 milligrams of bacteria at noon at Tuesday, write an expression for how much there will be at noon on Wednesday. 15. Find x satisfying log 10 (3 x )-log 10 (2 x 3 ) = 2. 1...
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