Perform the given translation on (3, 1). Give the coordinates of the translated point. 2 units right.

Perform the given translation on $(3,1)$. Give the coordinates of the translated point.

4 urits up

Find a general solution, using the method of undetermined coefficients for a particular solution of the nonhomogeneous equation. $y^{\prime \prime}-3 y^{\prime}+2 y=10 \sin (x)$

Combine any like terms. $3 x^{2}+x y-6 x y-2 y^{2}$

Find the mean of the data given. Number of apps on five friends' smart phones: 42,42,23,75,64

Use letters to represent each simple statement in the compound statement that follows. Then express the compound statement in symbolic form. Shooting unarmed civilians is morally justifiable if and only if bombing them is morally justifiable, and as the former is not morally justifiable, neither is the latter.

Find a family of oblique trajectories that intersect the family of curves $x+$ $y=c x^{2}$ at angle $a$ such that $\tan a=2$.

Find the indefinite integral.

$$\int \cosh 4 x d x$$

Carry out the following steps for the given functions f and points a. Find the linear approximation L to the function f at the point a.

$$f ( x ) = e ^ { - x }$$

, a=ln 2

Graph each equation.

$$x+3=y$$

An environmental study suggests that $t$ years from now, the average level of carbon monoxide in the air will be

$$Q(t)=0.05 t^{2} + 0.1 t+3.4$$

parts per million (ppm). By approximately how much will the carbon monoxide level change during the next 6 months?

$$2 \frac { 2 } { 3 } \div 1 \frac { 1 } { 2 }$$

Express the limit as an integral (or multiple of an integral) and evaluate.

$$\lim _ { N \rightarrow \infty } \frac { 5 } { N } \sum _ { j = 1 } ^ { N } \sqrt { 4 + 5 j / N }$$

Determine whether the sequence is increasing, decreasing or neither. $a_{n}=\frac{n-1}{n+1}$