A $5-\mathrm{cm}$-diameter sphere solidifies in $1050 \mathrm{~s}$. Calculate the solidification time for a $0.3 \mathrm{~cm} \times 10 \mathrm{~cm} \times 20 \mathrm{~cm}$ plate cast under the same conditions. Assume that $n=2$

High blood pressure (hypertension) is a leading cause of strokes. Medical researchers are constantly seeking ways to treat patients suffering from this condition. A specialist in hypertension claims that regular aerobic exercise can reduce high blood pressure just as successfully as drugs, with none of the adverse side effects. To test the claim, 50 patients who suffer from high blood pressure were chosen to participate in an experiment. For 60days, half the sample exercised three times per week for 1 hour and did not take medication; the other half took the standard medication. The percentage reduction in blood pressure was recorded for each individual. Estimate with 95% confidence the difference in mean percentage reduction in blood pressure between drugs and exercise programs.

Linear light oscillating at $60^{\circ}$ above the horizontal x-axis in the first and third quadrants passes through a quarter-wave plate with its fast axis horizontal. Explain why the light emerges as left elliptical with its major axis vertical.

Consider a thin homogeneous plate that lies in the $x_{1}-x_{2}$ plane. Show that the inertia tensor takes the form

$$\{\mathbf{I}\}=\left\{\begin{array}{rrr} A & -C & 0 \\ -C & B & 0 \\ 0 & 0 & A+B \end{array}\right\}$$

A baseball is hit 2 feet above home plate, and the position of the ball t seconds later is $r(t)=\left\langle 40 t,-16 t^2+31 t+2\right\rangle \mathrm{ft}$. The range of the baseball.

A U.S. pharmaceutical company is considering manufacturing and marketing a pill that will help to lower both an individual's blood pressure and cholesterol. The company is interested in understanding the demand for such a product. The joint probabilities that an adult American man has high blood pressure and/or high cholesterol are displayed in the table.

$$\begin{array}{lcc} & \text { High } & \text { OK } \\ \text { High } & 0.11 & 0.21 \\ \text { OK } & 0.16 & 0.52\end{array}$$

Are high blood pressure and high cholesterol independent? Explain.

Consider a Fresnel zone plate having a transparent circular disk at its center. This is the m=1 region, and the tenth transparent region has a diameter of 6.00 mm. Determine the plate’s principal focal length when $\lambda_{0}=600 \mathrm{nm}$.

How can you determine whether your blood pressure is in a normal range? Include the following in your answer:

• an explanation of how to use the graph, and
• a description of the regions that indicate high blood pressure, both systolic and diastolic.

From the choices in parentheses, underline the correct word to complete each sentence.

Example 1. Roll out the pie crust; (than, $\underline{{then}}$), place it in the bottom of the pie plate.

The air was so still that each leaf of the tree was perfectly (stationary, stationery).

Mr. Abdul, a patient with a bone marrow cancer, is polycythemic. Will his blood pressure be high or low? Why?

A heat-seeking particle is located at the point P on a flat metal plate whose temperature at a point (x, y) is T(x, y). Find parametric equations for the trajectory of the particle if it moves continuously in the direction of maximum temperature increase. T(x, y)=5-

$$4 x ^ { 2 } - y ^ { 2 }$$

; P(1, 4)

Suppose you disconnect the capacitor of the preceding problem from the battery before you move the plates, ensuring that the charge $Q$ is fixed. As you increase the plate separation, explain whether each of the following increases, decreases, or remains the same: (c) the stored energy.

For the baseball diamond, suppose the player is running from first base to second base at a speed of 25 feet per second. Find the rate at which the distance from home plate is changing when the player is 20 feet from second base.

From the choices in parentheses, underline the correct word to complete each sentence.

Example 1. Roll out the pie crust; (than, $\underline{{then}}$), place it in the bottom of the pie plate.

The (principal, principle) ingredients of the bread are flour, baking soda, salt, and shortening.