MS 101 Alg & Trig test two • • Name:

Either make the calculation or solve for x as appropriate. Round answers to two decimal places.

  1. ____________ e0
  2. ____________ ln e
  3. ____________ log 100
  4. ____________ ex = 20.0856
  5. ____________ ln x = 1.60944
  6. ____________ log x = 0.90309
  7. ____________ 5 ln 8x = 23.22196
  8. ____________ e ( x 7 ) = 20.0856
  9. ____________ ln(2) + ln (17) = ln x
  10. ____________ ex = e50 * e5
  11. ____________ 101.949391
  12. ____________ log x 144 = 2
  13. The following chart displays three functions. Each function is shown using a marker of a different shape: circles, squares, and triangles.
    Graph with shapes fed by different functions background rectangle major grid lines axes x-axis and y-axis data points as rectangles leftmost data set data points as circles data points as triangles text layers Functions y-axis labels -12.0 -9.6 -7.2 -4.7 -2.3 0.1 2.5 4.9 7.3 9.8 12.2 x-axis labels -2.5 -2.0 -1.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5
    1. __________ What marker shape would best represent the exponential function f(x)=ex?
    2. __________ What marker shape would best represent the exponential function f(x)=e−x?
    3. __________ What marker shape would best represent a logistic function?
  14. "A learning curve is a graphical representation of the increase of learning (vertical axis) with experience (horizontal axis). The curve for a single subject may be erratic." - Learning curve. (2013, June 11). In Wikipedia, The Free Encyclopedia. Retrieved 09:59, June 11, 2013 In a learning curve experiment a young girl was introduced to riding a RipStik for the first time. On her very first attempt to ride the RipStik she fell off immediately, a rolling time of zero seconds. On her second attempt she fell off in three seconds. The attempts to ride are experience, the time during which she successfully rolled is the learning.
    Wednesday, February 10, 2010
    Experience: Attempt numberLearning: Rolling time (s)
    10
    23
    34
    43.5
    58.5
    66
    75.8
    89
    99
    107.9
    118.3
    1210.4
    139.3
    1410.6
    1510.1
    1611
    1712
    1. Graph the data, add a LOGARITHMIC trend line and equation to the graph, and then write the logarithmic equation:
    2. ____________ Based on the logarithmic equation in part a, calculate the rolling time for attempt number 22.
    3. ____________ Based on the logarithmic equation in part a, calculate the attempt number when the young girl will attain a rolling time of 16 seconds.
    4. Solve the equation in part a for x, writing out the resulting inverse equation below: