College Mathematics for Aviation II: Test 4

The following questions are taken from the Embry-Riddle Aeronautical University Worldwide Test 4 questions from MyMathLab.

Questions:

  1. Evaluate the given definite integral.

\displaystyle \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.

\displaystyle y=x,\:y=\sqrt[4]{x}

3. Approximate the value of the integral defined by the given set of points.

\displaystyle \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

\displaystyle y=5-x^2\:\:\:and\:\:y=x-7

5.  Evaluate the given definite integral.

\displaystyle \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.

\displaystyle \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?