find a set of cylindrical coordinates of the point whose Cartesian coordinates are given.

$$( - 1 , \sqrt { 3 } , 13 )$$

Find the general solution to the differential equations. $y^{\prime}=3 x-2 y$

Is the given number a solution of the equation? 3+2t=7; 4

Solve each equation. $3 x^{2}-5 x=0$

Solve each equation. Justify each step. 15 = 9 - 3p

Simplify each expression. (Do not use negative exponents. $\frac { 5 x ^ { 3 } + 2 x ^ { 2 } - x } { x }$

Find the position vector-valued function $\mathbf { r } ( t )$, given that $\mathbf { a } ( t ) = \mathbf { i } + e ^ { t } \mathbf { j }$, $\mathbf { v } ( 0 ) = 2 \mathbf { j }$, and $\mathbf { r } ( 0 ) = 2 \mathbf { i }$.

Find the curve $\mathbf { r } = \mathbf { r } ( t )$ for which $\kappa ( t ) = 1$ and $\tau ( t ) = 1$ for all $t$, and $\mathbf { r } ( 0 ) = \hat { \mathbf { T } } ( 0 ) = \mathbf { i } , \hat { \mathbf { N } } ( 0 ) = \mathbf { j },$ and $\hat { \mathbf { B } } ( 0 ) = \mathbf { k }$.

The protein sorting pathway involves the following organelles/ compartments in order: a. SER, RER, transport vesicle, Golgi. b. RER, lysosome, Golgi. c. RER, transport vesicle, Golgi, final destination. d. Golgi, transport vesicle, RER, final destination.

Write an expression for each statement. Shari has g gel pens and Jennifer has 8 fewer gel pens.

One of the most significant themes of the period from 1945 to the 1980s is the growth of the power of the federal government. (See "Politics and Power" and "American and National Identity" on the thematic timeline on p. 746.) In what ways is the civil rights movement also part of that story?

Use the column-row expansion of AB to express this product as a sum of matrices. A = [1 2 3, 4 5 6], B = [1 2, 3 4, 5 6]

Where are all points whose x-coordinates equal the negative of their y-coordinates?

Find $\mathbf{v} \times \mathbf{w}$ for the vectors given.

$$\mathbf{v}=\mathbf{k} ; \mathbf{w}=\mathbf{k}$$