In Fig. 20–10, how much is the inductive reactance, $X_\text{L}$, for each of the following values of $Vac$ and $I$? a. $Vac=10\text{ V}$ and $I=2\text{ mA}$. b. $Vac=50\text{ V}$ and $I=20\space\mu\text{A}$. c. $Vac=12\text{ V}$ and $I=15\text{ mA}$. d. $Vac=6\text{ V}$ and $I=40\space\mu\text{A}$. e. $Vac=120\text{ V}$ and $I=400\text{ mA}$.

For each function, complete the following steps.

(a) Use a graphing calculator to graph the function in the standard viewing window.

(b) Analytically determine the location of any asymptotes and extrema.

( c ) Graph the function in a viewing window that shows all features of the graph. State the ranges for $x$-values and $y$-values for your viewing window.

$$f(x)=\frac{x\ +\ 25}{x^2\ +\ 1400}$$

What is atomic radiation?

After many nights of observation, you notice that if you oversleep one night, you tend to undersleep the following night, and vice versa. This pattern of compensation is described by the relationship

$$x _ { n + 1 } = \frac { 1 } { 2 } \left( x _ { n } + x _ { n - 1 } \right)$$

, for n=1, 2, 3, ... where

$$x_n$$

is the number of hours of sleep you get on the nth night and

$$x_0$$

=7 and

$$x_1$$

=6 are the number of hours of sleep on the first two nights, respectively. Write out the first six terms of the sequence

$$\left\{ x _ { n } \right\}$$

and confirm that the terms alternately increase and decrease.

The article “Drift in Posturography Systems Equipped with a Piezoelectric Force Platform: Analysis and Numerical Compensation” reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 100 times per second for 300 seconds, for a total of 30,000 measurements. Find a 95% confidence interval for the population correlation $\rho.$

Suppose that the following pairs of variables are related linearly. Will the correlation coefficient describing the strength of the relationship be positive or negative?

Heights and weights of $21$ -year-old males

(a) Analyze: What question does Ross ask that indicates he doubts that the grooms committed the murder? Explain.
(b) Infer: ls Ross satisfied by the answer? Explain.

Graph the function using window settings of [-4, 4] for x and [-4, 4] for y. The graph is not what it appears to be. Pick a better viewing window and find a better representation of the true graph.

$$f ( x ) = x ^ { 2 } + 8$$

Use inductive reasoning to predict the next line in each sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.

$$\begin{array} { r } { 1 + 3 = 2 \times 2 } \\ { 1 + 3 + 5 = 3 \times 3 } \\ { 1 + 3 + 5 + 7 = 4 \times 4 } \\ { 1 + 3 + 5 + 7 + 9 = 5 \times 5 } \end{array}$$

Let $p_1, . . . , p_n$ be a permutation of $\{1, \ldots, n\}$. An inversion in p is a pair $p_i, p_j$ where $i < j$ and $p_i > p_j$. Informally, the pair $p_i, p_j$ is an inversion if $p_i$ and $p_j$ are out of order, where order means increasing order. Exercise are concerned with inversions. Show that the average number of inversions in permutations of $\{1, \ldots, n\}$ is $n(n − 1)/4$. Assume that all permutations are equally likely.

Define atomic radiation.

Find the final price of the item.

printer: $255.00 discount: 30% tax: 5.5%

Consider a flat-plate solar collector placed on the roof of a house. The temperatures at the inner and outer surfaces of the glass cover are measured to be $33^{\circ} \mathrm{C} \text { and } 31^{\circ} \mathrm{C},$ respectively. The glass cover has a surface area of $2.5 \mathrm{m}^{2},$ a thickness of 0.6 cm, and a thermal conductivity of $0.7 W/m \cdot K.$ Heat is lost from the outer surface of the cover by convection and radiation with a convection heat transfer coefficient of $10 \mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}$ and an ambient temperature of $15^{\circ} \mathrm{C}.$ Determine the fraction of heat lost from the glass cover by radiation.

The diameter and surface emissivity of an electrically heated plate are D=300 mm and $\varepsilon=0.80$, respectively. (a) Estimate the power needed to maintain a surface temperature of $200^{\circ} \mathrm{C}$ in a room for which the air and the walls are at $25^{\circ} \mathrm{C}$. The coefficient characterizing heat transfer by natural convection depends on the surface temperature and, in units of $\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}$, may be approximated by an expression of the form $h=0.80\left(T_{s}-T_{\infty}\right)^{1 / 3}$. (b) Assess the effect of surface temperature on the power requirement, as well as on the relative contributions of convection and radiation to heat transfer from the surface.