The amount a company expects to collect from customers appears on the

a. balance sheet in the stockholders’ equity section.
b. income statement in the expenses section.
c. balance sheet in the current assets section.
d. statement of cash flows.

Consider the radial field $\mathbf { F } = \mathbf { r } / | \mathbf { r } | ^ { p }$ where r=$\langle x , y , z \rangle$ and p is a real number. Let S be the sphere of radius a centered at the origin. Show that the outward flux of F across the sphere is $4 \pi / a ^ { p - 3 }$. It is instructive to do the calculation using both an explicit and parametric description of the sphere.

What is the current in a wire of radius R = 3.40 mm if the magnitude of the current density is given by (a)

$$J_a = J_0 r/R$$

and (b)

$$J_b = J_0(1 - r/R)$$

, in which r is the radial distance and

$$J_0 = 5.50 × 10^4 A/m²$$

? (c) Which function maximizes the current density near the wire’s surface?

A car travels along a road, which for a short distance is defined by $r=(200 / \theta) \mathrm{ft}$, where $\theta$ is in radians. If it maintains a constant speed of $v=35 \mathrm{ft} / \mathrm{s}$, determine the radial and transverse components of its velocity when $\theta=\pi / 3 \mathrm{rad}$

$$\begin{array} { l } { \text{ The ring 1989N2R of the planet Neptune has an inner rad- } } \\ { \text { ius of approximately } 53,200 \text { km } ( \text {measured from the center } } \\ { \text { of the planet) and a radial width of } 15 \text {km} \text {. Use differentials } } \\ { \text { to estimate the area of the ring. } } \end{array}$$

A car travels along a road, which for a short distance is defined by $r=(200 / \theta) \mathrm{ft}$, where $\theta$ is in radians. If it maintains a constant speed of $v=35 \mathrm{ft} / \mathrm{s}$, determine the radial and transverse components of its velocity when $\theta=\pi / 3 \mathrm{rad}$.

Why are subsidiary shares not reported as stock outstanding in the consolidated balance sheet?

What are the strength and direction of an electric field that will balance the weight of (a) a proton and (b) an electron?

Find the maximum shear stress in a $5 \frac{1}{2}-i n$-diameter circular saw blade if it runs idle at 5000 rev/min. The saw is 14 gauge (0.0747 in) steel and is used on a $\frac{5}{8}$-in-diameter arbor. The thickness is uniform. What is the maximum radial component of stress?

A company has cash from operating activities of $220, cash from investing activities of ($93), cash from financing activities of ($107) and a beginning cash balance of$27. What will the company's ending cash balance be?

Beginning with a circular piece of paper with a 4-inch radius, as shown in (a), cut out a sector with an arc of length x. Join the two radial edges of the remaining portion of the paper to form a cone with radius r and height h, as shown in (b). What length of arc will produce a cone with a volume greater than 21 ln.³?

Consider the radial field $\mathbf { F } = \langle f , g \rangle = \frac { \langle x , y \rangle } { \sqrt { x ^ { 2 } + y ^ { 2 } } } = \frac { \mathbf { r } } { | \mathbf { r } | }$.

Let R be the unit disk centered at the origin and compute $\iint _ { R } \left( \frac { \partial f } { \partial x } + \frac { \partial g } { \partial y } \right) d A$.

Why should you never weigh a hot object on an analytical balance in a lab?

a. the balance will explode
b. the mass readout will be unstable
c. there is no drawback to weighing hot objects
d. hot objects can be dangerous to touch

A $64\,\mathrm{cm}$ diameter wheel accelerates uniformly about its center from $130 \mathrm{~rpm}$ to $280 \mathrm{~rpm}$ in $4.0 \mathrm{~s}$. Determine the radial and tangential components of the linear acceleration of a point on the edge of the wheel $2.0 \mathrm{~s}$ after it has started accelerating.