The AM band extends from approximately 500 kHz to 1 600 kHz. If a 2.0-$\mu \mathrm { H }$ inductor is used in a tuning circuit for a radio, what are the extremes that a capacitor must reach to cover the complete band of frequencies?

Write a short essay discussing one way in which technology has affected the use of money in the global world today.

Compute the derivative. h(y) = y tanh(4y)

An AC source operating at 60 Hz with a maximum voltage of 170 V is connected in series with a resistor (R = 1.2 $k \Omega$) and an inductor (L = 2.8 H). When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the inductor, and the AC source?

Evaluate the extent of change in the labor systems of the British North American colonies between 1600 and 1750.

An AC power source has an rms voltage of 120 V and operates at a frequency of 60.0 Hz. If a purely inductive circuit is made from the power source and a 47-H inductor, determine the inductive reactance.

An AC source operating at 60 Hz with a maximum voltage of 170 V is connected in series with a resistor (R = 1.2 $k \Omega$) and an inductor (L = 2.8 H). What are the maximum values of the potential difference across the resistor and the inductor?

Solve.

$$( 3 c + 1 ) ^ { 2 } = 0$$

Find the indicated higher-order partial derivatives. Given $z = e ^ { x } \tan y$, find $\frac { \partial ^ { 2 } z } { \partial x \partial y }$ and $\frac { \partial ^ { 2 } z } { \partial y \partial x }$.

Bob throws a ball straight up with an initial speed of 50 feet per second from a height of 6 feet. Find parametric equations that model the motion of the ball as a function of time.

Determine whether the given vector is in

$$\begin{equation*}\text{Span }\begin{Bmatrix}\begin{bmatrix}1\\2\\-1\\1\end{bmatrix},\begin{bmatrix}2\\-1\\1\\0\end{bmatrix},\begin{bmatrix}-1\\2\\0\\3\end{bmatrix}\end{Bmatrix}\end{equation*}$$

$$\begin{equation*}\begin{bmatrix}9\\6\\1\\9\end{bmatrix}\end{equation*}$$

A cylindrical tank with diameter d=18 in. is subjected to internal gas pressure p=450 psi. The tank is constructed of steel sections that are welded circumferentially. The heads of the tank are hemispherical. The allowable tensile and shear stresses are 8200 psi and 3000 psi, respectively. Also, the allowable tensile stress perpendicular to a weld is 6250 psi. Determine the minimum required thickness $t_{\mathrm{min}}$ of (a) the cylindrical part of the tank and (b) the hemispherical heads.

Determine where the function is increasing and where it is decreasing, as well as where it is concave up and where it is concave down, and then use those intervals to help you sketch its graph.

$$f(x)=\sqrt{x^{2}+1}$$

An AC source operating at 60 Hz with a maximum voltage of 170 V is connected in series with a resistor ($R = 1.2 \mathrm { k } \Omega$) and an inductor (L = 2.8 H). What is the maximum value of the current in the circuit?