Find the magnitude and positive direction angle of the vector \( \langle-2 \sqrt{3},-2\rangle \). The magnitude of the vector is (Simplify your answer.) The direction angle is \( \square^{\circ} \). (Simplify your answer. Use angle measures greater than or equal to 0 and less than 360. .)

Where is there a discontinuity / are there discontinuities (holes or asymptotes) in the rational function \( f(x)=\frac{x^{2}+3 x+2}{x^{2}-4} ? \) \( x= \) 0 \( x= \) 2 \( x= \) -2 \( x=2 \) -2 \( x=0 \) \( 2,-2 \) \( x \)

What is the magnitude of a vector with a horizontal component of 5 and a vertical component of \( 12 ? \)

The size of a certain insect population is given by \( \mathrm{P}(\mathrm{t})=400 e^{.03 \mathrm{t}} \), where t is measured in days. At what time will the population equal 1600 ?

Determine the implied domain of the following function. Express your answer in interval notation. \[ f(x)=\sqrt{x}-9 \] Answer

What is the direction of a vector with a horizontal component of 2 and a vertical component of -4 ?