Determine whether the quadratic function has a maximum or minimum value. Then find the value. $y = - 4 x ^ { 2 } + 8 x + 12$

Fuel cells show promise as power sources for automobiles. Hydrogen and carbon monoxide have been investigated for use in fuel cells, so their solubilities, s, in molten salts are of interest. Their solubilities in a molten $\mathrm{NaNO}_{3} / \mathrm{KNO}_{3}$ mixture were found to fit the following expressions;

$$\log \left(s_{H_{2}} / m o l\ c m^{-3} b a r^{-1}\right) -5.39-\frac{768}{T / K} \\ \log \left(s_{CO} / m o l\ c m^{-3} b a r^{-1}\right) =-5.98-\frac{980}{T / K}$$

Calculate the standard molar enthalpies of solution of the two gasses at 570 K.

Can you feel the inertia of a pencil? Of a book? If you can, describe how.

Solve each inequality. Give the solution set in both interval and graph form. $\frac{7}{5}(10 m-1)<\frac{2}{3}(6 m+5)$

Some bat species have auditory systems that work best over a narrow range of frequencies. To account for this, the bats adjust the sound frequencies they emit so that the returning, Doppler-shifted sound pulse is in the correct frequency range. As a bat increases its forward speed, should it increase or decrease the frequency of the emitted pulses to compensate?

Solve equation $15.95=3.19n$

Suppose that a 5-year projection of population trends suggests that t years from now, the population of a certain community will be P thousand, where $P(t)=-2 t^{3}+9 t^{2}+8 t+200$ a. At what rate will the population be growing 3 years from now? b. At what rate will the rate of population growth be changing with respect to time 3 years from now?

The “Simpson” sum is based on the area under a _________.

Why might an increase in oil prices lead to a decrease in the supply of fruits and vegetables in your local supermarket?

Find an equation of tangent line to the graph $4 x y-y^{2}=3$ at point $(1,3)$

(a) Use de Broglie’s hypothesis to determine the speed of the electron in a hydrogen atom when in the $n=1$ orbit. The radius of the orbit is $0.53 \times 10^{-10} \mathrm{m}$. (b) Determine the electron’s de Broglie wavelength. (c) Confirm that the circumference of the orbit equals one de Broglie wavelength.

In the context of the giant planets and the conditions in their interiors, what is meant by “rock” and “ice”?

Define and explain: abolitionists

Verify $\int x\mathrm{sech}^{-1}\;dx=\dfrac{x^2}2\mathrm{sech}^{-1}x-\dfrac12\sqrt{1-x^2}+C$