Find an equation of the tangent line to the circle at the indicated point. Recall from geometry that the tangent line to a circle is perpendicular to the radius of the circle at the point of tangency. Circle $x^{2}+y^{2}=12$ Point $(2,-2 \sqrt{2})$

Find the volume of the solid that results when the region enclosed by y=x² and y=x³

Determine whether the following statement is true or false. If false, give a counterexample. If true, give an argument to support your conclusion. If the sum of two acute angles of a triangle is greater than 90, then the triangle is acute.

Use the Binomial Theorem to expand each binomial and express the result in simplified form.

$$( x - 3 y ) ^ { 5 }$$

The table displays the amounts the Jackson family spent on vacations during the years 1996-2006.

$$\begin{matrix} \text{Jackson Family Vacation Costs }\\ \text{Year} & \text{Cost} & \text{Year} & \text{Cost}\\ \text{1996} & \text{\$1000} & \text{2002} & \text{\$2750}\\ \text{1997} & \text{\$1750} & \text{2003} & \text{\$3200}\\ \text{1998} & \text{\$1750} & \text{2004} & \text{\$2900}\\ \text{1999} & \text{\$2000} & \text{2005} & \text{\$3100}\\ \text{2000} & \text{\$2200} & \text{2006} & \text{\$3300}\\ \text{2001} & \text{\$2700}\\ \end{matrix}$$

Make a scatter plot of the data.

Explain how organelles increase the efficiency of the cell:

What is a random variable? Give an example of a discrete random variable and a continuous random variable. Justify your answer.

Find the sum.

$$\left[\begin{array}{rr}{3} & {2} \\ {-1} & {5}\end{array}\right]+\left[\begin{array}{rr}{8} & {-5} \\ {3} & {0}\end{array}\right]$$

Solve the initial-value problem.

$$\frac { d y } { d t } = 1 + \frac { 2 } { t } , t \gt 0 , y = 5 \text { when } t = 1$$

-¿Son nuestros cepillos? (ours) -No, los cepillos no son __________.

Identify the period and tell where two asymptotes occur for each function. $y=\tan 4 \theta$

A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. Find the area of the smaller wall.

A pizza parlor has 8 different toppings and 3 different cheeses to choose from on the menu. How many pizza combinations are possible if each pizza has 1 topping and 1 cheese?

Let A and B be nonzero

$$n \times n$$

matrices such that A is symmetric and B is skew-symmetric. Prove that {A, B} is linearly independent.