If you left a board lying on the grass for a few days, what would happen to the grass underneath the board? Why?

How do negative signs on residuals affect the sum of squared residuals?

Deflections of diving boards A diver stands at the very end of a diving board before beginning a dive. The deflection $d$ of the board at a position $s$ feet from the stationary end is given by $d=c s^2(3 L-s)$ for $0 \leq s \leq L$, where $L$ is the length of the board and $c$ is a positive constant that depends on the weight of the diver and on the physical properties of the board (see the figure). Suppose the board is $10$ feet long.

If the deflection at the end of the board is $1 \mathrm{foot}$, find $c$.

Major home appliances purchased in the United States are now labeled with bright yellow "Energy Guide" tags showing anticipated energy consumption. The tag on a recently purchased washing machine indicated the anticipated energy use would be $940 \mathrm{~kW}$-h per year. Calculate the anticipated annual energy use in kilojoules. (See Question 8 for a definition of a kilowatt-hour.) At 8 cents/ kW-hr, how much would it cost per month to operate this machine?

Infection that weakens the heart muscle is called _______.

Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

• After removing the next element from queue, what is the index of the first element?

When a 0.80-kg crown is submerged in water, its apparent weight is measured to be 7.3 N. Is the crown pure gold?

The wattage of an appliance indicates the average power consumption in watts $(W)$, where $1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s}$. What is the difference in the number of $\mathrm{kJ}$ of energy consumed per month between a refrigeration unit that consumes $625 \mathrm{~W}$ and one that consumes $855 \mathrm{~W}$ ? If electricity costs $\$ 0.15$ per $\mathrm{kWh}$, what is the monthly cost difference to operate the two refrigerators? (Assume $30.0$ days in one month and $24.0$ hours per day.)

Let $f(x)=3^{3 x+1}-7 \cdot 5^{2 x}.$ a. Use the Maple commands solve and $f$ solve to try to find all roots of $f.$ b. Plot $f(x)$ to find initial approximations to roots of $f.$ c. Use Newton’s method to find roots of $f$ to within $10^{-16}$ d. Find the exact solutions of $f(x)=0$ without using Maple.

Major home appliances purchased in the United States are labeled with bright yellow "Energy Guide" ${ }^{\mathrm{N}}$ tags showing anticipated energy consumption. The tag on a recently purchased washing machine indicated the anticipated energy use would be $940 \mathrm{~kW}$-h per yeas. Calculate the anticipated annual energy use in kilojoules. (See Question 20 for a definition of kilowatt-hour.) At 8 cents/kW-h, how much would it cost per month to operate this machine?

Approximately how many oxygen molecules arrive each second at the mitochondrion of an active person with a mass of $84 \mathrm{~kg}$ ? The following data are available: Oxygen consumption is about $40 . \mathrm{mL}$ of $\mathrm{O}_2$ per minute per kilogram of body weight, measured at $T=300 .\ \mathrm{K}$ and $P=1.00 \mathrm{~atm}$. In an adult there are about $1.6 \times 10^{10}$ cells per kg body mass. Each cell contains about 800 . mitochondria.

Look at the following statement:
numbers = [10, 20, 30, 40, 50]
a. How many elements does the list have?
b. What is the index of the first element in the list?
c. What is the index of the last element in the list?

Identify and describe two muscle tissues.

Provide structures for the semicarbazone and the $2,4$-dinitrophenylhydrazone of citral.