This quiz tests the work covered in Lecture 2 and corresponds to Section 1.2 of the
text Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum et
al.).

There is no web quiz from Wiley for this section.

There are two sections of economics quiz site that would be useful, Exponential
Graphs and Exponential Functions.

The Mathematics Learning Centre has a booklet on Introduction to Exponents and Logarithms and tutors who can help you with the concepts.

There are some animations available at http://archives.math.utk.edu/visual.calculus/0/exp˙log.5/. The Java applet doesn’t require any plugins and is very useful.

There may be more than one correct answer.

*There is at least one mistake.*

For example, choice (a) should be False.

*There is at least one mistake.*

For example, choice (b) should be True.

*There is at least one mistake.*

For example, choice (c) should be False.

*There is at least one mistake.*

For example, choice (d) should be False.

*There is at least one mistake.*

For example, choice (e) should be True.

*Correct!*

*False*Try again, the $t$ values are evenly spaces but the ratios are not fixed.*True*Note that the $t$ values are equally spaced and the ratios $\frac{300}{147}=\frac{147}{72.03}=\dots =\frac{17.2944}{8.4726}\approx 2.04$ are fixed so the function is exponential.*False*Try again, although the ratios are fixed the $t$ values are not evenly spaced.*False*Try again, the $t$ values are evenly spaces but the ratios are not fixed.*True*Note that the $t$ values are equally spaced and the ratios $\frac{20}{24}=\frac{24}{28.8}=\dots =\frac{41.472}{49.7664}\approx 8.333$ are fixed so the function is exponential.

More than one answer may be correct.

*There is at least one mistake.*

For example, choice (a) should be True.

*There is at least one mistake.*

For example, choice (b) should be False.

*There is at least one mistake.*

For example, choice (c) should be True.

*There is at least one mistake.*

For example, choice (d) should be True.

*Correct!*

*True*This curveis $y={e}^{x}$ and it is concave up.*False*Try again, this curve is concave down.*True*Thiscurve is a quadratic and is concave up.*True*This curve is$y={e}^{-x}$ and is concave up.

*Choice (a) is incorrect*

*Choice (b) is correct!*

*Choice (c) is incorrect*

*Choice (d) is incorrect*

Which of the following gives the correct amount of radium-266 in 3240 years?

*Choice (a) is incorrect*

*Choice (b) is incorrect*

*Choice (c) is correct!*

*Choice (d) is incorrect*