Find the differential equation of the given family. Find the orthogonal trajectories of the family. Use a graphing utility to graph both families on the same set of coordinate axes.

$$y = c _ { 1 } x$$

Family income in the United States has increased steadily for many years (primarily due to inflation). In 1980, the median family income was about $21,000 per year. In 2003, it was about$52,700 per year. Find the average rate of change of median family income to the nearest dollar over that period.

Punctuating Different Types of Works. Use underlining or quotation marks with the works in each sentence. In his book. The American Family. I enjoyed chapter six, Family Vacations.

Discuss how these situations might impact family eating patterns: a) parents in a family work different shifts; b) teens in a family play school sports; c) a single parent often works late; d) a stay-at-home mother takes a job. What advice might help in each situation?

Draw a family tree of your immediate family. Next to each person, write a word to describe him or her. Then, write three sentences about your favorite relatives.

Cisneros has six brothers and is the only daughter in her family. Create a family tree, for yourself or a friend, that includes the following: parents, siblings, grandparents, aunts, uncles, and cousins.

Consider the family of circles

$$x ^ { 2 } + y ^ { 2 } = 2 c x.$$

Show that the differential equation for determining the family of orthogonal trajectories is

$$\frac { d y } { d x } = \frac { 2 x y } { x ^ { 2 } - y ^ { 2 } }.$$

Which of the following is an example of a change in family structure? (a) The birth of a new baby. (b) The loss of a parent's job. (c) A family member's serious illness. (d) Moving to a new home.

A young couple wants to have a family of six children. Assuming that having a boy or girl is equally likely, what is the probability of having the following number of girls in their family?

$$2$$

Decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem. If false, provide an example, illustration, or brief explanation of why the statement is false. The family of orthogonal trajectories for a family of parallel lines is another family of parallel lines.

Which of the following is true of the Family and Medical Leave Act?

a. It does not cover cases of adoption.
b. It applies only to women.
c. It requires that qualified individuals be given up to 12 weeks of unpaid family leave.
d. It requires that qualified individuals be given up to 20 weeks of unpaid family leave.

Several of her family members died of tuberculosis.

Imagine that there is no full faith and credit clause and that your family intends to move to another state. In a short essay, explain how the another your family in your new residence.

A family buys airline tickets online. Each ticket costs $167. The family buys travel insurance with each ticket that costs$19 per ticket. The Web site charges a fee of $16 for the entire purchase. The family is charged a total of$1132. How many tickets did the famiiy buy?