A fertilizer manufacturing company wants to relocate to Yellowstone County. A report from a fired researcher at the company indicates the company’s product is releasing toxic by-products. The company suppressed that report. A later report commissioned by the company shows there is no problem with the fertilizer.

Should the company’s chief executive officer reveal the content of the unfavorable report in discussions with Yellowstone County representatives? Discuss.

A juggler throws a ball into the air, releasing it 5 feet above the ground with an initial vertical velocity of 15 ft/sec. She catches the ball with her other hand when the ball is 4 feet above the ground. Using the model h = -16t$^2$ + v$_0$t + h$_0$, find how long the ball is in the air.

Secretion of Hormones. The secretion of hormones into the blood is often a periodic activity. If a hormone is secreted on a $24$-h cycle, then the rate of change of the level of the hormone in the blood may be represented by the initial value problem

$$\frac{d x}{d t}=\alpha-\beta \cos \frac{\pi t}{12}-k x, \quad x(0)=x_0,$$

where $x(t)$ is the amount of the hormone in the blood at time $t, \alpha$ is the average secretion rate, $\beta$ is the amount of daily variation in the secretion, and $k$ is a positive constant reflecting the rate at which the body removes the hormone from the blood. If $\alpha=\beta=1, k=2$, and $x_0=10$, solve for $x(t)$.

Write balanced equations for each of these reactions, including the heat term:

(a) Calcium metal reacts with water to produce calcium hydroxide and hydrogen gas, releasing $635.1\mathrm{~kJ}$ of heat for cvery mole of calcium that reacts.
(b) Bromine trifluoride decomposes into bromine and fluorine upon the absorption of $300.8\mathrm{~kJ}$ of heat for each mole of bromine trifluoride decomposed.

A barrel containing $200 \mathrm{kg}$ of water sits in a cellar during the winter. On a cold day, the water freezes, releasing thermal energy to the room.This energy passes from the cellar to the outside air, which has a temperature of $-20^{\circ} \mathrm{C}$.Determine the entropy change for this process if the cellar remains at $0^{\circ} \mathrm{C}$.

The processes involved in heat transfer between the body and the environment are

a) sensible perspiration, insensible perspiration, heat loss, and heat gain.

b) radiation, conduction, convection, and evaporation.

c) physiological responses and behavioral modifications.

d) sensible perspiration, insensible perspiration, hormones, and heat conservation.

The magnitude M of an earthquake is represented by the equation $M=\frac{2}{3} \log \left(\frac{E}{E_{0}}\right)$ where E is the amount of energy released by the earthquake in joules and $E_{0}=10^{4.4}$ is the assigned minimal measure released by an earthquake. To the nearest hundredth, what would the magnitude be of an earthquake releasing $1.4 \cdot 10^{13}$ joules of energy?

A basketball player practices shooting three-pointers from a distance of $7.50 \mathrm{~m}$ from the hoop, releasing the ball at a height of $2.00 \mathrm{~m}$ above the floor. A standard basketball hoop's rim top is $3.05 \mathrm{~m}$ above the floor. The player shoots the ball at an angle of $48.0^{\circ}$ with the horizontal. At what initial speed must she shoot to make the basket?

Correctly use the following terms or abbreviations to fill in the blanks after each definition. ACTH FSH somatotropin PRL tropic insulin glucocorticoid melatonin LH thyrotropin

Hormone of the anterior pituitary that stimulates cortex of adrenal gland to produce its own hormones:__________________

The magnitude $M$ of an earthquake is represented by the equation $M=\frac{2}{3} \log \left(\frac{E}{E_0}\right)$ where $E$ is the amount of energy released by the earthquake in joules and $E_0=10^{4.4}$ is the assigned minimal measure released by an earthquake. To the nearest hundredth, what would the magnitude be of an earthquake releasing $1.4 \cdot 10^{13}$ joules of energy?

An example of antagonistic hormones controlling homeostasis is a. thyroxine and parathyroid hormone in calcium balance. b. insulin and glucagon in glucose metabolism. c. progestins and estrogens in sexual differentiation. d. epinephrine and norepinephrine in fight-or-flight responses. e. oxytocin and prolactin in milk production

A weight suspended from a spring is set into oscillating motion by pulling it to a point $10.4 \mathrm{~cm}$ below its rest position and releasing it. It takes $4 \mathrm{~s}$ for the weight to complete one cycle. Determine an equation that describes the position of the weight at time $t$ seconds; let position $0$ represent its rest position. Graph the equation.

Match the adrenal hormones with their source and actions.

$$\begin{matrix} \text{(1) cortisol} & \text{A. Cortex; sodium retention}\\ \text{(2) aldosterone} & \text{B. Cortex; fatty acid release}\\ \text{(3) epinephrine} & \text{C. Medulla; fight-or-flight response}\\ \end{matrix}$$

Metabolic wastes of animals most likely include (1) water, carbon dioxide, oxygen, and salts (2) carbon dioxide, nitrogenous compounds, water, and salts (3) hormones, water, salts, and oxygen (4) glucose, carbon dioxide, nitrogenous compounds, and water