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Practice

Additional problems and applications can be found on the companion site: www.elsevierdirect.com/9780123747839.

  1. Create separate simple X-Y QuickPlots of the following equations. Use expressions rather than functions on the y-axis.

    1. x2

    2. x3 + 2x2 + 3x – 10

    3. sin(x)

  2. Create separate Polar QuickPlots of the following equations. Use expressions rather than functions on the radial axis.

    1. x/2

    2. cos(6x)

    3. tan(x)

  3. Create functions for the expressions in Exercises 1 and 2 and plot these functions.

  4. Create two range variables for each of the previous functions. One range variable should have a small increment; the other should have a large increment. Plot these functions using each range variable. Use the Format dialog box and the Traces tab to make each plot look different from the others.

  5. The formula to calculate the bending moment at point x in a beam (with uniform loading) is M = (1\2*w*x)*(L – x), where w is in force/length, L is total length of beam, and x is distance from one end of the beam. Create a plot with distance x on the x-axis (from zero to L), and moment on the y-axis. Use w = 2 N/m and L = 10 m. Moment should be displayed as N*m. Provide a title and axis labels.

  6. Plot the following data points. Use a range variable for the x-axis. Use a solid box as the symbol. Connect the data points with a dashed line.

    119.1
    229.5
    340.3
    452.4
    559.3
    670.5


  7. Plot the following data points. Use a blue solid circle as the symbol. Do not connect the data points.

    1.22.4
    2.33.3
    4.55.3
    5.26.3
    4.54.6
    5.56.4


  8. Plot the following equations and use the Trace dialog box to find approximate solutions where the plots intersect: y1(x) = 2x2 + 3x − 10, y2(x) = −x2 + 2x + 20.

  9. Write a function to describe the vertical motion and a function to describe the horizontal motion of a projectile fired at 700 ft/s with a 35-degree inclination from the horizontal. Each function should be a function of time. Create a parametric plot with the following:

    1. Use a range variable to set the range of the plot. Use a range from 0 to 20 with an increment of 1.

    2. Create a parametric plot with horizontal motion on the x-axis and the vertical motion on the y-axis. Use the range variable for the argument of both functions.

    3. Use units in the functions and the plots. Hint: Remember to multiply the function argument by seconds.

  10. Copy the plot from Exercise 8 and plot in terms of meters instead of feet.


  

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