Use the forward-difference formulas and backward-difference formulas to determine each missing entry in the following tables. a.

$$\begin{matrix} \text{x} & \text{f(x)} & f^{\prime}(x)\\ \text{0.5} & \text{ 0.4794 }\\ \text{0.6} & \text{ 0.5646 }\\ \text{0.7} & \text{ 0.6442}\\ \end{matrix}$$

b.

$$\begin{matrix} \text{x} & \text{f(x)} & f^{\prime}(x)\\ \text{0.0} & \text{ 0.00000 }\\ \text{0.2} & \text{ 0.74140 }\\ \text{0.4} & \text{1.3718 }\\ \end{matrix}$$

Vocabulary: Immigration

Use the Bisection method to find solutions accurate to within $10^{-2} \text { for } x^{3}-7 x^{2}+14 x-6=0$ on each interval. a. [0, 1] b. [1, 3.2] c. [3.2, 4]

The output of a certain amplifier in terms of the input is $v_o(t)=Kv_{in}(t-t_d)$. a. Is this amplifier linear? Explain carefully. b. Determine the complex voltage gain as a function of frequency. [Hint: Assume that $v_{in}(t) = V_m \cos (2\pi ft)$, determine the corresponding output, and divide the phasor output by the phasor input.] c. Given $K = 100$ and $t_d = 0.1\ \text{ms}$, plot the gain magnitude and phase versus frequency for $0 \le f \le 10 \ \text{kHz}$. d. Does this amplifier produce amplitude distortion? Phase distortion? Explain carefully.

The shift of population from the countryside to a city is called a. land use. b. land cover. c. urbanization. d. infrastructure.

Rosalind Franklin's X-ray pattern showed that the distance between the two strands of a DNA molecule is the same throughout the length of the molecule. How did that information help Watson and Crick determine how bases are paired?

a. Are some aspects of beauty universal? Explain. b. Why do you think people tend to be attracted to others with attitudes that are similar to their own.

An aquatic plant emits bubbles of oxygen when placed under a bright light. The table shows the results of an experiment to show the effect of light intensity on bubble production. Use the data in the table to answer the question.

$$\begin{matrix} \text{ } & \text{Oxygen Production} & \text{ }\\ \text{Distance From Light (cm)} & \text{Bubbles Produced per Minute}\\ \text{10} & \text{39}\\ \text{20} & \text{22}\\\text{30} & \text{8}\\ \text{40} & \text{5}\\ \end{matrix}$$

Write a linear equation that fits the data approximately. To determine the equation, plot the points and draw a line that passes near the points.

Use the Buffalo Bell Corporation financial statements that follow to answer. Buffalo Bell Corporation Consolidated Statements of Financial Position (In millions)

$$\begin{matrix} & \text{December 31, 2012} & \text{December 31, 2011}\\ \text{Assets: }\\ \text{ Current Assets }\\ \text{Cash and cash equivalents } & \text{\$ 4,333 } & \text{\$ 4,226 }\\ \text{Accounts and notes receivable } & \text{3,400 } & \text{2,403 }\\ \text{Short-term investments } & \text{845} & \text{520}\\ \text{Inventories, at cost} & \text{433} & \text{411}\\ \text{Prepaid expense and other current assets } & \text{1,638 } & \text{1,226 }\\ \text{Total current assets } & \text{10,649 } & \text{8,786 }\\ \text{Property and equipment, net} & \text{1,555 } & \text{907}\\ \text{Investments} & \text{6,804 } & \text{5,199 }\\ \text{Other non-current assets } & \text{303} & \text{155}\\ \text{Total assets } & \text{\$19,311} & \text{\$15,047}\\ \text{Liabilities and stockholders’ equity:}\\ \text{Current liabilities }\\ \text{Accounts payable} & \text{\$ 7,708 } & \text{\$ 6,009 }\\ \text{Accrued and other liabilities } & \text{3,676 } & \text{3,033 }\\ \text{Total current liabilities } & \text{11,384 } & \text{9,042 }\\ \text{Long-term debt } & \text{304} & \text{305}\\ \text{Other non-current liabilities } & \text{1,701 } & \text{1,179 }\\ \text{Total liabilities } & \text{13,389} & \text{10,526}\\ \text{Stockholders’ equity}\\ \text{Preferred stock and capital in excess of \$0.02 par value; shares issued and outstanding: none } & \text{-} & \text{-}\\ \text{Common stock and capital in excess of \$0.05 par value; shares authorized: 6,000; shares issued: 2,163 and 1,903, respectively } & \text{7,803 } & \text{7,001 }\\ \text{Treasury stock, at cost: 183 and 123 shares, respectively} & \text{(6,444) } & \text{(4,401) }\\ \text{ Retained earnings} & \text{4,676 } & \text{1,990 }\\ \text{ Other comprehensive loss} & \text{(79) } & \text{(25) }\\ \text{Other} & \text{(34) } & \text{(44) }\\ \text{Total stockholders’ equity } & \text{5,922 } & \text{4,521 }\\ \text{Total liabilities and stockholders’ equity} & \text{\$19,311} & \text{\$15,047}\\ \end{matrix}$$

Buffalo Bell Corporation Consolidated Statements of Income (In millions, except per share amounts)

$$\begin{matrix} & \text{Year ended December 31, }\\ & \text{2012} & \text{2011} & \text{2010}\\ \text{Net Revenue } & \text{\$42,666 } & \text{\$35,220 } & \text{\$31,111 }\\ \text{Cost of goods sold } & \text{35,147 } & \text{29,255 } & \text{25,492 }\\ \text{Gross profit } & \text{7,519} & \text{5,965} & \text{5,619}\\ \text{Operating expenses: }\\ \text{ Selling, general, and administrative } & \text{3,341 } & \text{3,250 } & \text{2,985 }\\ \text{Research, development, and engineering } & \text{544} & \text{553} & \text{536}\\ \text{ Special charges } & \text{-} & \text{-} & \text{512}\\ \text{Total operating expenses } & \text{3,885 } & \text{3,803 } & \text{4,033 }\\ \text{Operating income } & \text{3,634 } & \text{2,162 } & \text{1,586 }\\ \text{Investment and other income (loss), net } & \text{153} & \text{196} & \text{(30) }\\ \text{Income before income taxes } & \text{3,787 } & \text{2,358 } & \text{1,556 }\\ \text{Income tax expense } & \text{1,136 } & \text{940} & \text{472}\\ \text{ Net income} & \text{\$ 2,651} & \text{\$ 1,418} & \text{\$ 1,084 }\\ \text{Earnings per common share: }\\ \text{Basic} & \text{\$ 1.41} & \text{\$ 0.95} & \text{\$ 0.37 }\\ \end{matrix}$$

Buffalo Bell’s current ratio at year end 2012 is closest to a. $1,420. b. 0.9. c. 22.1. d. 1.2.

Verify that $N(x, y, t)=\frac{M}{4 \pi D t} e^{r t-\left(x^{2}+y^{2}\right) /(4 D t)}$ is a solution of the partial differential equation $\frac{\partial N}{\partial t}=D\left(\frac{\partial^{2} N}{\partial x^{2}}+\frac{\partial^{2} N}{\partial y^{2}}\right)+r N$

Find the domain of each function.

$$f(x)=\left\{\begin{array}{ll}{x+3} & {\text { if }-2 \leq x<1} \\ {5} & {\text { if } x=1} \\ {-x+2} & {\text { if } x>1}\end{array}\right.$$

Construct the natural cubic spline for the following data. a.

$$\begin{matrix} \text{x} & \text{f(x)}\\ \text{0} & \text{1.00000 }\\ \text{0.5} & \text{ 2.71828}\\ \end{matrix}$$

b.

$$\begin{matrix} \text{x} & \text{f(x)}\\ \text{-0.25} & \text{ 1.33203 }\\ \text{0.25} & \text{0.800781}\\ \end{matrix}$$

c.

$$\begin{matrix} \text{x} & \text{f(x)}\\ \text{0.1} & \text{−0.29004996 }\\ \text{0.2} & \text{−0.56079734 }\\ \text{0.3} & \text{−0.81401972}\\ \end{matrix}$$

d.

$$\begin{matrix} \text{x} & \text{f(x)}\\ \text{-1} & \text{0.86199480 }\\ \text{-0.5} & \text{0.95802009 }\\ \text{0} & \text{1.0986123 }\\ \text{0.5} & \text{1.2943767}\\ \end{matrix}$$

Describe the cookie's texture. How do you think it was produced?

Escribe oraciones completas para describir cada vacación. Usa el pretérito.

1. Yo / practicar
2. Mis amigos y yo / organizar
3. Elena y Felipe / acampar
4. Lourdes / escalar
5. Nosotros / comprar