(a) What is the resistance of a Nichrome wire at $0.0^{\circ} \mathrm{C}$ if its resistance is $100.00 \Omega$ at $11.5^{\circ} \mathrm{C}$ ? (b) What is the resistance of a carbon rod at $25.8^{\circ} \mathrm{C}$ if its resistance is $0.0160 \Omega$ at $0.0^{\circ} \mathrm{C}$ ?

Each of the following situations could exist for a perfectly competitive firm in the short run. In each case, indicate whether the firm should produce in the short run or shut down in the short run, or whether additional information is needed to determine what it should do in the short run. Average variable cost exceeds price at all output levels.

What is the relationship between the short-run Phillips curve and the long-run Phillips curve? Suppose that the expected inflation rate increases from 2 percent to 3 percent. What will happen to the short-run Phillips curve?

Show that if two resistors $R_1$ and $R_2$ are combined and one is much greater than the other $\left(R_1 \gg R_2\right)$, $(a)$ their series resistance is very nearly equal to the greater resistance $R_1$ and $(b)$ their parallel resistance is very nearly equal to smaller resistance $R_2$.

A motor has output torque given by $T_{out} =10-2(60 \pi-\omega \mathrm{m}) \omega \mathrm{m}$ where $\omega \mathrm{m} .$ is angular velocity in rad/s and $T_{out}$ is the output torque in newton meters. 1. Find the no-load speed of the motor. 2. At what speed between zero and the no-load speed is the output torque maximum? What is the maximum output torque? 3. At what speed between zero and the no-load speed is the output power maximum? What is the maximum output power? 4. Find the starting torque of the motor. How could this motor be started?

The centers of two circular loops are separated by a fixed distance. \ (i) For what relative orientation of the loops is their mutual inductance a maximum?
(a) coaxial and lying in parallel planes
(b) lying in the same plane
(c) lying in perpendicular planes, with the center of one on the axis of the other
(d) The orientation makes no difference.
(ii) For what relative orientation is their mutual inductance a minimum? Choose from the same possibilities.

A perfectly competitive firm faces a price of 10 and is currently producing a level of output at which marginal cost is equal to 10 on a rising portion of its short-run marginal cost curve. Its long-run marginal cost is equal to 12. Its short-run average variable cost is equal to 8. The minimum point on its longrun average cost curve is equal to 10. Is this firm earning an economic profit in the short run? Should it alter its output in the short run? In the long run, what should this firm do?

Explain how a firm hedge can short-run exchange rate risk and long-run exchange rate risk.

The electrical resistance of a wire, measured in ohms ($\Omega$), is proportional to the length of the wire. If the electrical resistance of a 5-ft wire is 4 $\Omega$, what is the resistance of 20 ft of the same wire?

Why is it inconsistent to believe that the long-run aggregate supply curve is vertical and the long-run Phillips curve is downward sloping?

The tables show the number of miles run by the students in two classes.

The difference of the means is about__________ times the mean absolute deviations.

The rate at which the world’s oil is consumed (in billions of barrels per year) is given by $r = f(t),$ where $t$ is in years and $t = 0$ is the start of $2004.$

(a) Write a definite integral representing the total quantity of oil consumed between the start of $2004$ and the start of $2009.$

The world's oil is being consumed at a continuously increasing rate, f(t) (in billions of barrels per year), where t is in years since the start of 1995. Write a definite integral which represents the total quantity of oil used between the start of 1995 and the start of 2010.

Write run-on if the sentence is applicable run-on sentence.
_____The Pulitzer Prize is a highly regarded honor, it signifies great achievement.