The point P(9, −2) lies on the curve y = 2/(8 − x). (a) If Q is the point (x, 2/(8 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 8.9 mPQ = (ii) 8.99 mPQ = (iii) 8.999 mPQ = (iv) 8.9999 mPQ = (v) 9.1 mPQ = (vi) 9.01 mPQ = (vii) 9.001 mPQ = (viii) 9.0001 mPQ = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(9, −2). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(9, −2).

Which is the correct excel formula for the 80th percentile of a distribution that is n(475, 33)? =norm. dist(80,475,33,1) =norm. inv(0.80,475,33) =norm. s.inv((80-475)/33)?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.