1/ Find the x-value for the extremum for the quadratic function f(x)= 4 x^2+ 8 x+ 9. Round your answer the three decimal places. (Hint: remind yourself what an extremum is by searching the textbook PDF for the word)

2/ Identify the domain of f(x)=log 6 ((8x+2)/3) . Your answer should be all x greater than some number. What is that number?

3/The binary entropy function describes the expected amount of information provided by each flip of a coin when the probability of the "heads" face showing is p. It is given by H(p)=p log2 (p) (1p) log2 (1p).

Compute the value of H(0.14), and round your answer to four decimal places.

4/ Find all possible x values in the equation log5 (2x) log5 (7x2) =2. Round your answer to three decimal places. (Hint: You should only have one possible value)

5/ The demand for a product is inversely proportional to the square root of the product's unit price. A demand for 432 units of the product results from charging $19 per item. Find k, the constant of proportionality. Round your answer to two decimal places.