An unknown three terminal device has leads named b, c, and e. When installed in one particular circuit, measurements indicated that $V_{ec} = –9 \text{ V}$ and $V_{eb} = –0.65 \text{ V}$. (a) Calculate $V_{cb}$. (b) Determine the power dissipated in the b-e junction if the current $I_b$ flowing into the terminal marked b is equal to $1 \; \mu\text{A}$.

Use a CAS to solve the initial value problem. Plot the solution curves.

$$y^{\prime}=\frac{1}{\sqrt{4-x^{2}}}, \quad y(0)=2$$

Using Newton's Law of Gravitation, if there are two objects exerting the force of gravity on each other and the mass of one of the objects is quadrupled, then the force between them is a. doubled. b. quartered. c. tripled. d. quadrupled.

A crown is made of gold and silver. The scale reads its mass as $3.0 \mathrm{kg}$ when in air and $2.75 \mathrm{kg}$ when in water. Determine the masses of the gold and the silver in the crown. The density of gold is $19,300 \mathrm{kg} / \mathrm{m}^{3}$ and that of silver is $10,500 \mathrm{kg} / \mathrm{m}^{3}$.

Find the second derivative of the given function. $f(x)=e^{2 x}+2 e^{-x}$

Water is pumped through a pipe of diameter 15.0 cm from the Colorado River up to Grand Canyon Village, on the rim of the canyon. The river is at 564 m elevation and the village is at 2 096 m. What additional pressure is necessary to deliver this flow? Note: You may assume the free-fall acceleration and the density of air are constant over the given range of elevations.

Give an argument using rules of inference to show that the conclusion follows from the hypotheses. Hypotheses: Everyone in the class has a graphing calculator. Everyone who has a graphing calculator understands the trigonometric functions. Conclusion: Ralphie, who is in the class, understands the trigonometric functions.

A round pencil lying on its side is in neutral equilibrium relative to displacements perpendicular to its length. What is its stability relative to displacements parallel to its length?

Hydrogen chloride, HCl, is a gas at room temperature. Would you expect it to be very soluble or not very soluble in water?

A drug manufactured by a pharmaceutical company is sold in bulk at a price of $150 per unit. The total production cost (in dollars) for x units in one week is$C ( x ) = 0.02 x ^ { 2 } + 100 x + 3000$ How many units of the drug must be manufactured and sold in a week to maximize the profit? What is the maximum profit?

Start by drawing a number line that shows integers from -5 to 5. Then graph each of the following integers on your number line. -4

Consider subsonic Fanno flow accelerated to sonic velocity $(M_a = 1)$ at the duct exit as a result of frictional effects. If the duct length is increased further, will the flow at the duct exit be supersonic, subsonic, or remain sonic? Will the mass flow rate of the fluid increase, decrease, or remain constant as a result of increasing the duct length?

Distinguish between a vein and a venule.

Find the sum of the finite geometric series $a+a r+a r^{2}+\cdots+a r^{n-1}$. Write the answer as a quotient of integers. $30+3+\frac{3}{10}+\frac{3}{100}+\dots+\frac{3}{1,000,000}$