College Mathematics for Aviation II: Test 4

The following questions are taken from the Embry-Riddle Aeronautical University Worldwide Test 4 questions from MyMathLab. The written answer in step-by-step can be purchased from this link.

Questions:

  1. Evaluate the given definite integral.
    \int _0^1\:\left(2x^4-7x^2\right)dx
  2. Find the area of the region bounded by the graphs of the given equations.
    y=x,\:y=\sqrt[4]{x}
  3. Approximate the value of the integral defined by the given set of points.
    \int _2^8\:ydx
x
2
3
4
5
6
7
8
y
0.46
3.46
5.73
3.48
3.93
6.43
7.04
      4.  Find the area of the region enclosed between the two curves
            y=5-x^2\:\:\:and\:\:y=x-7
      5.  Evaluate the given definite integral.
            \int _0^{2\sqrt{2}}\:\frac{x}{\sqrt{x^2+1}}dx
      6.  Approximate the value of the integral by use of the trapezoidal rule, using n=8.
            \int _0^{10}\:\sqrt{100-x^2}dx
      7.  What is the velocity (in ft/s) of a sandbag 2.25 s after it is released from a hot-air balloon that is stationary in the air?

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