a. How did American daily life change after the Second Industrial Revolution? b. Why might important breakthroughs such as the telegraph or the Wright brothers' flight have attracted so little attention or recognition at the time they occurred? c. How did innovations in industry, transportation, and communications affect the nature of work in American society?

The graph shown at left is one period of a function of the form y = a sin k(x - b). Determine the function.

Give a graph of the rational function and label the coordinates of the stationary points and inflection points. Show the horizontal and vertical asymptotes and label them with their equations. Label point(s), if any, where the graph crosses a horizontal asymptote. Check your work with a graphing utility

$$\frac { x } { x ^ { 2 } - 4 }$$

(a) What poor choices were made by both the Mandarin and his daughter in this fable? (b) What happened as a result?

Suppose a wire 2 ft long is to be cut into two pieces, each of which will be formed into a square. Find the size of each piece to maximize the total area of the two squares.

In what ways do you think current environmental consciousness is related to the "throwaway society" of the 1950s? Support your answer.

Complete the sentence using each term once. a. causation b. code of ethics c. correlation d. dependent variable e. field research f. independent variable g. multiple causation h. qualitative variable i. quantitative variable j. representative sample k. scientific method I. secondary analysis. _________ states that an event occurs as a result of several factors working in combination.

Use your notes from the graphic organizer to describe South America's contributions to the arts. Include specific examples from the lesson.

Find the y-intercept, the equation of the axis of symmetry, and the x-coordinate of the vertex.

Flying insects such as bees may accumulate a small positive electric charge as they fly. In one experiment, the mean electric charge of 50 bees was measured to be $+(30 \pm 5) p C$ per bee. Researchers also observed the electrical properties of a plant consisting of a flower atop a long stem. The charge on the stem was measured as a positively charged bee approached, landed, and flew away. Plants are normally electrically neutral, so the measured net electric charge on the stem was zero when the bee was very far away. As the bee approached the flower, a small net positive charge was detected in the stem, even before the bee landed. Once the bee landed, the whole plant became positively charged, and this positive charge remained on the plant after the bee flew away. By creating artificial flowers with various charge values, experimenters found that bees can distinguish between charged and uncharged flowers and may use the positive electric charge left by a previous bee as a cue indicating whether a plant has already been visited (in which case, little pollen may remain). Consider a bee with the mean electric charge found in the experiment. This charge represents roughly how many missing electrons? (a) $1.9 \times 10^{8}$; (b) $3.0 \times 10^{8}$; (c) $1.9 \times 10^{18}$; (d) $3.0 \times 10^{18}$.

Solve each exponential equation. Write the exact answer with natural logarithms and then approximate the result correct to three decimal places. $2 ^ { 1 - x } = 3 ^ { 4 x + 6 }$

Suppose mat as you travel away from Earth in a spaceship, you observe another ship pass you heading in the same direction and measure its speed to be 0.50c. As you look back at Earth, you measure Earth's speed relative to you to be 0.90c. What is the speed of the ship that passes you according to Earth observers?

First make a substitution and then use integration by parts to evaluate the integral.

$$\int t ^ { 3 } e ^ { - t ^ { 2 } } d t$$

Use logarithmic differentiation to find dy/dx. y = x^(x-1)