A uniform flux density of 1 T is perpendicular to the plane of a five-turn circular coil of radius 10 cm. Find the flux linking the coil and the flux linkages. Suppose that the field is decreased to zero at a uniform rate in 1 ms. Find the magnitude of the voltage induced in the coil.

$\Delta$ denotes the symmetric difference operator defined as $A\Delta B=(A\cup B)-(A\cap B)$, where A and B are sets. Is $\Delta$ commutative? If so, prove it; otherwise, give a counterexample.

The magnetic field of the earth is approximately $3 \times 10^{-5} \mathrm{T}$ At what distance from a long straight wire carrying a steady current of 10 A is the field equal to 10 percent of the earth's field? Suggest at least two ways to help reduce the effect of electrical circuits on the navigation compass in a boat or airplane.

A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a $30.0^{\circ}$ incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?

Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. $f(t)=2 t^{3}+6 t^{2}+6 t+5$

Add: 70.02 + 0.0013 + 9.062 + 0.142

When the first two astronauts landed on the Moon, a third astronaut remained in an orbiter in circular orbit near the Moon’s surface. During half of every complete orbit, the orbiter was behind the Moon and out of radio contact with the Earth. On each orbit, how long was the time when radio contact was lost?

What is the term for the release of harmful substances into the environment? a.pollutant b.sediment c.sewage d.pollution

Find each sale price. $520 TV; 18% off.

The following excerpts appear in a guide for preparing income tax reports. Source: Your Income Tax 2014. (a) The tax law provides several tax benefits for people attending school. (b) If you use the Tax Table, you do not have to compute your tax mathematically. (c) You may not deduct the expenses of seeking your first job. (d) Make sure the names used when you and your spouse file your joint return match the names you have provided to the Social Security Administration.

Write the negation of statement (c).

Evaluate the following integrals.

$$\int \frac{\cos 7 w}{16+\sin ^{2} 7 w} d w$$

Use the change-of-base rule (with either common or natural logarithms) to find each logarithm to four decimal places. $\log _{7} 4$

Write a formula for the area of a circle of radius r.

Write $\subseteq$ or $\nsubseteq$ in each blank so that the resulting statement is true. {2, 4, 6}____$\varnothing$