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Purdue MA 15300 - Exam 2

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MA 15300 Exam 2A Fall 2009 1 1. Given ()3,8A −, find the coordinates of point B such that ()5,9M is the midpoint of AB . ()()()17.1,2.14,11.10,9.7,10. None of the above.ABBBCBDBE⎛⎞⎜⎟⎝⎠ 2. Solve the following inequality for x. Express your answer in interval notation. ()116423x≤− − ≤ 1.,129.6,21.1,29.,62. None of the above.ABCDE⎡⎤⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦⎡⎤−−⎢⎥⎣⎦⎡⎤−⎢⎥⎣⎦ 3. Perform the indicated operation and express in the form +abi, where a and b are real numbers. 124ii+− 1.2467.17 171.2429.17 1769.15 15AiBiCiDiEi++−++MA 15300 Exam 2A Fall 2009 2 4. Choose the equation that most resembles the graph given below. 22.4.4.4.4.4AxyBxyCy xDy xExy=−=−=−=−=− 5. Solve for x. Simplify your answer. ()2918x += .932.63,81.933.923. There is no solution for .AxBx xCxDxEx=− ±=− ==− ±=− ± 6. Solve the following inequality. Express your answer using interval notation. 3710x −≥ [)(]17.1,317., 1,317.,1,317.,3. None of the above.ABCDE⎡⎤−⎢⎥⎣⎦⎛⎤−∞ − ∪ ∞⎜⎥⎝⎦⎡⎞−∞ − ∪ ∞⎟⎢⎣⎠⎡⎞∞⎟⎢⎣⎠ y1 1 xMA 15300 Exam 2A Fall 2009 3 7. Find the general equation of the line through the point ()3, 6A− and perpendicular to the line given by 352yx=−. .3 2 21.2 3 3.2 3 24.2 3 12.3 2 28AxyBxyCxyDxyExy−=+=−−=−+=−−=− 8. Which of the following statements are true about the line given by 528xy−=? . I only.. I and II only..II only.. I, II, and III.. None are true.ABCDE 9. Find the equation of the circle with center ()5,3C − and passing through the point ()2,4P −. ()()()()()()()()22222222.5 310.5 310.5 398.5 398. None of the above.Ax yBx yCx yDx yE−++=++−=++−=−++= I. 8The intercept is ,0 .5x⎛⎞−⎜⎟⎝⎠ II. 2The slope of a line parallel to the line is .5 III. ()The intercept is 0,4 .y −MA 15300 Exam 2A Fall 2009 4 10. Solve for x: ()23 5xx+=− 5.,1237.22337.44.5,4331.44Ax xBxiCx iDx xEx i=− ==− ±=− ±=− =−=− ± 11. Find all solutions of 427180xx+−= .2,3.2,3.32,5.9,2. There are no solutions for .Ax x iBx ixCx xDx xEx=± =±=± =±=± =±=− = 12. Choose the simplified equation that would solve the following: Find the point with coordinates of the form (),2aa that is in the first quadrant and is a distance 29 from the point ()2,4P − 2222.5 90.5 12 90.5 12 90.5 90. Cannot be determined.AaBa aCa aDaE+=−−=++=−=MA 15300 Exam 2A Fall 2009 5 13. A bottle rocket was fired upward with an initial speed of 80 ft/sec. The number of feet, s, above the ground after t seconds is given by 216 80stt=− +. When will the rocket hit the ground? . 4.5 seconds. 3 seconds. 5 seconds. 4 seconds. Cannot be determined.ABCDE 14. A conical cup is to have a radius of 2 inches. Find the height of the cup that will result in a surface area of 12π square inches. The surface area of a conical cup is given by 22rr hπ+ . .27 inches.42 inches.235 inches. 4 35 inches. 5 7 inchesABCDE 15. The number of households connected to the Internet has been increasing at a constant rate (it is linear). In 1995, there were approximately 9 million homes connected. This number climbed to about 51 million in 2001. If t represents the number of years since 1995 (0t = is the year 1995) and H represents the number of households connected to the Internet (in millions), express H in terms of t. .791.97.7511.517. None of the above.AH tBH tCH tDH


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