General Test

Find the absolute value of the following complex number $$z=5+12i$$

Convert the polar form to rectangular form

$$Z=6(\cos150°+i\sin150°)$$

Find $$\lim_{x\rightarrow3}\ \frac{x^2+2x-15}{x^2-x-4}$$

Evaluate $$\lim_{x\rightarrow\infty}\ \frac{3x^2+x-2}{x^2+2x-1}$$

Find $$\lim_{x\rightarrow\infty}\ \ 3x^{-2}+5x^{-1}+9$$

Find the derivative of $$f(x)=(2x+3)(3x+1)$$

$$\int_1^5\ \ \left(4x^3-3x^2-2x+5)dx\right)$$

Use the Fundamental Theorem of Calculus to find the area of the region between the graph of the function

$$f(x)=-x^2+4x+6$$ from 1 to 4

Find the distance between the two points $$\left(3,60\degree\right)\ ,\ \left(2,150\degree\right)$$