## 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.

##### $\displaystyle \int _2^8\:ydx$

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?