The $V_{G S(o n)}$ of an $n$-channel E-MOSFET is
a. Less than the threshold voltage
b. Equal to the gate-source cutoff voltage
c. Greater than $V_{D S(0 \pi)}$
d. Greater than $V_{G S(t h)}$

Write the rational function given as a partial sum of partial fractions.

$$\frac{4 x^{3}+4 x^{2}+x-1}{x^{2}(x+1)^{2}}$$

Consider a 2-m-high electric hot-water heater that has a diameter of 40 cm and maintains the hot water at $55^\circ C.$ The tank is located in a small room whose average temperature is $27^\circ C,$ and the heat transfer coefficients on the inner and outer surfaces of the heater are 50 and $12 W/m^2 \cdot K,$ respectively. The tank is placed in another 46-cm-diameter sheet metal tank of negligible thickness, and the space between the two tanks is filled with foam insulation $(k = 0.03 W/m \cdot K).$ The thermal resistances of the water tank and the outer thin sheet metal shell are very small and can be neglected. The price of electricity is $0.08/kWh, and the home owner pays$280 a year for water heating. Determine the fraction of the hot-water energy cost of this household that is due to the heat loss from the tank.Hot-water tank insulation kits consisting of 3-cm-thick fiberglass insulation $(k = 0.035 W/m \cdot K)$ large enough to wrap the entire tank are available in the market for about $30. If such an insulation is installed on this water tank by the home owner himself, how long will it take for this additional insulation to pay for itself?

Determine the partial derivative with respect to x and the partial derivative with respect to y at x=4 and y=1 for $f(x, y)=3x^2y^3+2x+3y^6+9$.

Using $\iint_R \nabla^2 w d x d y=\oint_C \frac{\partial w}{\partial n} d s$, evaluate $\oint_C \frac{\partial w}{\partial n} d s$ counterclockwise over the boundary curve $C$ of the region $R$. (Show the details of your work.) $w=x^5 y+x y^5, \quad R: x^2+y^2 \leqq 1, x \geqq 0, y \geqq 0$.

Given the boundary-value problem

$$\begin{array}{ll}{\frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial^{2} u}{\partial t^{2}},} & {0<x<1, \quad 0<t<1} \\ {u(0, t)=0,} & {u(1, t)=0, \quad 0 \leq t \leq 1}\end{array}$$

$u(x, 0)=x(1-x),\left.\quad \frac{\partial u}{\partial t}\right|_{t=0}=0, \quad 0 \leq x \leq 1$ use $h=k=\frac{1}{5}$ in equation (6) to compute the values of $u_{i, 1}$ by hand.

The partial pressure of carbon dioxide varies with seasons. Would you expect the partial pressure in the Northern Hemisphere to be higher in the summer or winter? Explain.

A police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of 80.0 km/h. Her mass is 55.0 kg. What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizontal and vertical forces.)

Find the indicated partial sum of the series. $\sum_{i=1}^{\infty} \frac{7}{5^{i}}$ Fourth partial sum

Combine the four sentences into an effective topic sentence, or write a topic sentence accompanied by one or more supporting details.
a. Ernie sells hot dogs. b. He is weird, yet lovable. c. Everyone in town knows and likes him. d. He is part of what makes our town interesting.

Look at this title from one of the health articles in your textbook. Then, read the sentence that follows and write L (for Lectura) if it's something you read in the title. Write N (for No) if it's something you didn't read in the title.

Cuerpo de la Paz (Peace Corps) y Medica/ Aid for Children of Latín America (MACLA) ayudan a niños que requieren cirugía plástica (plastic surgery).

Los niños son de Europa.

A 4-ft-diameter finished-concrete sewer pipe is half full of water. (a) In the spirit, estimate the speed of propagation of a small-amplitude wave propagating along the channel. (b) Estimate the Froude number if the water is flowing at $14,000 \mathrm{gal} / \mathrm{min}$.

Suppose a movie director is filming on a set that should look like a hot desert. He wants the scene to appear warmer, such that the red and yellow tones are the most apparent. What color filters should he use? What color will the blue sky appear when he uses those filters, and why?

Write the rational function given as a partial sum of partial fractions.

$$\frac{2 x^{2}+5 x-1}{x\left(x^{2}-1\right)}$$