Find the absolute maximum and minimum values of the function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates. f(x) = -x - 4, -4 <= x <= 1

Two point charges are placed on the x-axis as follows: Charge $q _ { 1 } = + 4.00 n C$ is located at x = 0.200 m, and charge $q _ { 2 } = + 5.00 n C$ is at x = -0.300m. What are the magnitude and direction of the total force exerted by these two charges on a negative point charge $\mathrm { q } _ { 3 } = 6.00 nC$ that is placed at the origin?

Solve each equation, Write a justification for each step. $- \frac { x } { 3 } = 2$

Jason has a piece of wire that is 62.4 inches long. He cuts the wire into 3 equal pieces. Estimate the length of 1 piece of wire.

Convert from degrees to radians: (a)

$$1 ^ { \circ }$$

(b)

$$30 ^ { \circ }$$

(c)

$$25 ^ { \circ }$$

(d)

$$120 ^ { \circ }$$

Use each of the three terms below in a sentence that illustrates the meaning of the term. a. state bank b. national bank c. gold standard

In what month do people take the least number of daily vitamins?

Let

$$f(x) = x^2 + 2x + 1$$

and

$$g(x) = x - 4.$$

Identify the rule for

$$\frac { f } { g }$$

and state the domain.

Consider a lamina occupying the region R and having the density function $\rho$ given in the first two groups of Exercises. a. Find the moments of inertia $I_x, I_y$, and $I_0$ about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. R is the rectangular region with vertices (0, 0), (0, 3), (6, 3), and (6, 0); $\rho(x, y)=\sqrt{x y}$.

Estimate. Then find the product. Estimate: _____

$$\begin{array} { r } { 28 } \\ { \times 22 } \\ \hline \end{array}$$

The initial rate of a reaction doubles as the concentration of one of the reactants is quadrupled. What is the order of this reactant? If a reactant has a -1 order, what happens to the initial rate when the concentration of that reactant increases by a factor of two?

Tell what method(s) you would use to solve the quadratic equation. Explain your choice(s).

$$3 x ^ { 2 } - 27 = 0$$

List all the subsets of {3,5,9}

Verify that det

$$\left[ \begin{array}{lll}{1} & {2} & {3} \\ {4} & {5} & {6} \\ {7} & {8} & {9}\end{array}\right]=0$$

by using expansions by row 2 and row 3 cofactors.