Now i know the functions of cell division are ____

Draw a graph that has

$$\left[ \begin{array} { l l l l l } { 0 } & { 0 } & { 0 } & { 1 } & { 2 } \\ { 0 } & { 0 } & { 0 } & { 1 } & { 1 } \\ { 0 } & { 0 } & { 0 } & { 2 } & { 1 } \\ { 1 } & { 1 } & { 2 } & { 0 } & { 0 } \\ { 2 } & { 1 } & { 1 } & { 0 } & { 0 } \end{array} \right]$$

as its adjacency matrix. Is this graph bipartite?

Why did the Persian people oppose their ruler’s policy of selling business concessions to Europeans?

One group of viruses that contain RNA as their genetic information is a. oncogenic viruses b. retroviruses c. capsids d. prophages.

Let

$$\mathcal { S }$$

be the side of the cylinder

$$x ^ { 2 } + y ^ { 2 } = 4,0 \leq z \leq 2$$

(not including the top and bottom of the cylinder). Use Stokes' Theorem to compute the flux of

$$\mathbf { F } ( x , y , z ) = \langle 0 , y , - z \rangle$$

through

$$\mathcal { S }$$

(with outward-pointing normal) by finding a vector potential

$$\mathbf { A }$$

such that

$$( \mathbf { A } ) = \mathbf { F }.$$

Tell how many points are sufficient to determine a parallelogram.

Consider the following recurrence relation: \left.

$$\begin{array} { l } { a _ { n } = 2 \cdot a _ { n - 1 } - 3 \text { with } a _ { 1 } = 5 } \\ { \text { Prove by induction that } a _ { n } = 2 ^ { n } + 3 \forall n \geq 1 } \end{array}$$

\right.

Hence write an expression for the sum $S_{n}$ of the first n integers.

From the top of a 250-foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is

$$22 ^ { \circ }$$

and the angle of depression of the ship is

$$35 ^ { \circ }$$

Find the distance of the ship from the lighthouse.

Let P(x) denote the statement "x is taking a math course." The domain of discourse is the set of all students. Write each proposition in words.

$$\neg (\exists x P(x))$$

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is $6.20, it cost$6.20 to increase production from 49 to 50 units of output. Suppose the marginal cost C (in dollars) to produce x thousand mp3 players is given by the function $C(x)=x^{2}-140 x+7400.$ How many players should be produced to minimize the marginal cost?

Evaluate the line integral. $\int_{C} 3 y^{2} d y$, where C is the portion of $y=x^{2}$ from (-1, 1) to (1, 1), followed by the segment to (-1, 1)

Write two lists of data that each have at least 15 values and a median of 10. One should have a range of 25 and the other a range of 6.

Find the product. Justify your steps. -18(-x)