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Use graphs and tables to find the limit and identify any vertical asymptotes of the function. (5 points)

(04.03 MC)  A person has a 30 percent chance of winning on a scratch-off lottery ticket. What is the probability she first wins of the fifth ticket? (4 points)

Find the limit of the function algebraically. (5 points)  

Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ± x. (5 points)

Predict whether the following reaction will occur spontaneously or non-spontaneously. Give detailed reasons for your selection.                        2S(s)   +  3O2 (g)       →        2SO3 (g)     +    21Kcal            

Find the limit of the function algebraically. (5 points)  

Express the complex number in trigonometric form. -2 + 2 i (5 points)

Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, … (5 points)

Find the first six terms of the sequence. a1 = -7, an = 2 • an-1 (5 points)

 Explain how blood pH is maintained in the body with the help of Le-Chatelier’s principle and carbonate-bicarbonate equilibrium reaction.