Calculus Skills Review Practice 1

 $\cos\ 30\degree$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{3}$  

 $\cos^{-1^{ }}\alpha\ =\ \left(\frac{1}{2}\right),\ \alpha\ =\$  

• 60

• 30

• 45

• 90

 $f\left(x\right)\ =\ 2x^2\ ,\ then\ f\ \left(x+3\right)\ =\$  

•  $2x^2\ +\ 9$  

•  $2x^2\ +\ 18$  

•  $2x^2\ +\ 6x\ +\ 9$  

•  $2x^2\ +\ 12x\ +\ 18$  

Find the domain of y = sin x

• x > = -1 or x < = 1

• x > = -1 and x < = 1

• all real numbers

 $Simplify\ \frac{\frac{2}{x}+\frac{1}{4}}{\frac{1}{x^2}-\frac{1}{8}}$  

•  $\frac{16x\ +\ 2x^2}{8\ -\ x^2}$  

•  $\frac{8x\ +\ 2x^2}{8\ -\ x^2}$  

•  $\frac{2x\ +\ 2x^2}{1-\ x^2}$  

 $combine\ \frac{1}{x+4}-\frac{x}{x^2-16}$  

•  $\frac{2x+4}{x^2-16}$  

•  $\frac{4}{x^2-16}$  

•  $\frac{-4}{x^2-16}$  

•  $\frac{1}{x^2-4}$  

 $Write\ the\ \exp ression\ in\ the\ form\ ca^pb^q,\ where\ c,\ p\ and\ q\ are\ numbers.$   $\sqrt{4a^4b^5}$  

•  $2a^2b^{\frac{5}{2}}$  

•  $2a^2b^2\sqrt{b}$  

Write the equation of the line that goes through (2, -4) and is parallel to the line 2x - 4y +2 = 0

• $y\ +\ 4\ =-2\ \left(x-2\right)$

• $y\ +\ 4\ =\ \frac{1}{2}\left(x-2\right)$

• $y\ -\ 4\ =\ \frac{1}{2}\left(x+2\right)$

• $y\ -\ 4\ =-2\ \left(x+2\right)$