For each function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing. $y=x^{2 / 3}-x^{5 / 3}$

An organ pipe is made to play a low note at $27.5 \mathrm{~Hz}$, the same as the lowest note on a piano. Assuming a sound speed of $343 \mathrm{~m} / \mathrm{s}$, what length open-open pipe is needed? What length open-closed pipe would suffice?

For each function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing. $y=2.3+3.4 x-1.2 x^{2}$

The question below contains a vocabulary word from this lesson. Answer the question in "yes" or "no".

Could the $clamor$ from a party next door keep you awake at night?

A friend tells you that aluminum lies beneath the layer of white plastic on a refrigerator door. How could you check to see if this is true (without any scraping)?

For the given function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing.

$$f(x) = x^{6/7} - x^{13/7}$$

For the given function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing.

$$f(x) = 2.3 + 5.6x - 1.3x^2$$

The floor plan of a building is shown. Is it possible to start outside, walk through each door exactly once, and end up back outside? Justify your answer.

Choose an appropriate metric unit and estimate given of the following measures (check your estimates).
a. The thickness of the top of a desk
b. The length of this page of paper
c. The height of a door

What is the load voltage for each of these conditions?
a. Zener diode shorted
b. Zener diode open
c. Series resistor open
d. Load resistor shorted

For the given function, find (a) the critical numbers; (b) the open intervals where the function is increasing; and (c) the open intervals where it is decreasing.

$$f(x) = x^{16/17} - x^{33/17}$$

The Thevenin equivalent impedance is the impedance looking from (a) the source with the output shorted (b) the source with the output open (c) any two specified open terminals with all sources replaced by their internal impedances (d) any two specified open terminals with all sources replaced by a short

Use your notes to contrast the differences between the beliefs of early Arabs and the religion of Islam.

Use your notes to explain the fundamental differences between the philosophies of Socrates, Plato, and Aristotle.