MS 101 Alg & Trig test three midterm • • Name:

  1. Use a spreadsheet to make an xy scatter graph of the following speed versus coefficient of drag data for a Brazuca soccer ball. Note that the actual function for the coefficient of drag is not logarithmic. A logarithmic curve is being used for the purposes of this test only. The Brazuca. Photo by AFP
    Speed (km/hour) Coefficient of drag
    23 0.49
    40 0.40
    47 0.20
    62 0.18
    1230.20
    1. Add a LOGARITHMIC trend line and equation to the graph. Write the logarithmic equation below:
    2. __________ Based on the logarithmic equation in part a, what will be the coefficent of drag at 100 kilometers per hour?
    3. __________ Based on the logarithmic equation in part a, at what speed will the coefficient of drag be 0.30?
  2. Either make the calculation or solve for x as appropriate. Round answers to two decimal places.
    1. ____________ log71
    2. ____________ ln x = 1.0986123
    3. ____________ log 2 + log 3 = log x
    4. ____________ log x = 1
    5. ____________ 3 e ( x 3 ) = 445.2395
    6. ____________ logx21=1
    7. ____________ ln(x − 7) = 3.04452244
    8. ____________ 1 2 logx=6
  3. _________ Using a 45 foot long rope, Tommy in the center, Jamal walking in a circle with the rope taut, Maybelline would measure a length of 283 feet. Calculate the value of pi based on this data.
  4. _________ The curve on a 400 meter track is roughly 100 meters long. What is the radius of this curve in meters?
  5. _________ Convert π 3 radians to degrees.
  6. _________ Convert 45° to radians expressed as π over a number.
  7. _________ Calculate: 100 sin(60°)
  8. _________ Calculate: 100 cos(30°)
  9. _________ Calculate: 200 sin(45°)
  10. _________ Calculate: 200 cos(45°)
  11. Suppose I want to inscribe a square inside a circle with a radius of 200. What will be the SVG coordinates of the four corners a, b, c, d? The center of the circle is at (0,0). Try to remember that the y-axis is "upside-down."
    (0,0) radius = 200 a b c d
    1. ( ________ , _________ )
    2. ( ________ , _________ )
    3. ( ________ , _________ )
    4. ( ________ , _________ )