Find the limit of the function by using direct substitution. (6 points)

Express the complex number in trigonometric form. -4i (5 points)

(05.04 MC) The following reaction shows sodium carbonate reacting with calcium hydroxide.Na2CO3 + Ca(OH)2 → NaOH + CaCO3How many grams of NaOH are produced from 20.0 grams of Na2CO3?(Molar mass of Na = 22.989 g/mol, C = 12.01 g/mol, O = 15.999 g/mol, Ca = 40.078 g/mol, H = 1.008 g/mol)

Determine whether the sequence converges or diverges. If it converges, give the limit. 48, 12, 3, , …  (7 points)

Write the sum using summation notation, assuming the suggested pattern continues. 4 – 12 + 36 – 108 + … (5 points)

Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (8 points) 

Find the fifth roots of 243(cos 240° + i sin 240°). (5 points)

At high doses barbiturates can have a hypnotic effect, however, there is some evidence that barbiturate use can disturb normal sleep though _______________________.  

(05.04 MC) The following reaction shows calcium chloride reacting with silver nitrate.CaCl2 + AgNO3 → AgCl + Ca(NO3)2How many grams of AgCl are produced from 30.0 grams of CaCl2?(Molar mass of Ca = 40.078 g/mol, Cl = 35.453 g/mol, O = 15.999 g/mol, Ag = 107.868 g/mol, N = 14.007 g/mol)

Find the standard form of the equation of the parabola with a focus at (0, -10) and a directrix at y = 10. (5 points)