Neon signs require 12 kV for their operation. To operate from a 220-V line, what must be the ratio of secondary to primary turns of the transformer? What would the voltage output be if the transformer were connected backward?

Consider the reaction

$$\mathrm{X} \longrightarrow \text { products }$$

The graph below plots the rate of the reaction versus the concentration of $\mathrm{X}$. (a) What is the order of the reaction with respect to $X$ ? (b) Write the rate expression for the reaction. (c) Estimate the value of $k$.

Determine the volume of the solid generated by revolving the region enclosed by the parabola $y^2=4 x$ and the line $y=x$ about

(d) the line $y=4$.

What is a theoretical perspective?

Neutrons and protons in atomic nuclei are confined within a region whose diameter is about $10^{-15} \mathrm{~m}$. (a) At any given instant, how fast might an individual proton or neutron be moving? (b) What is the approximate kinetic energy of a neutron that is localized to within such a region? $(c)$ What would be the corresponding energy of an electron localized to within such a region?

Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the region R.
∫_R∫ 6x² dA R: region bounded by y = 0, y = √x, x = 1

Describe the ideas of perspective and symmetry.

Draw a cube in two-point perspective.

Two stages of the amplifier are connected in cascade. Determine the overall bandwidth

In this exercise, if $\alpha(x)$ is an integrating factor for $y^{\prime}+A(x) y=B(x)$, then $\alpha^{\prime}(x)$ is equal to (choose the correct answer):

(a) $B(x)$

(b) $\alpha(x) A(x)$

(c) $\alpha(x) A^{\prime}(x)$

(d) $\alpha(x) B(x)$

In this exercise, verify the identity.

$$\cot \alpha+\tan \alpha=\csc \alpha \sec \alpha$$

Underpricing occurs:

A. when additional shares are to be issued for companies with securities already publicly traded.
B. to aid in the market's reception of the securities.
C. in large secondary offerings.
D. all of these.

At what points does the helix $\text{r}(t) = \lang \sin t, \cos t, t \rang$ intersect the sphere $x^2 + y^2 + z^2 = 5$?

Describe how quasars got their name.