Chapter 4.2, Problem 44E

bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

(c) [6 pts] In(x + 1) In(1 - x) = 2. I (d) [7 pts] 2.31-2x = 7.64+x

find [5] and [6]

Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be approximated by v(t)=1.1²2-2.6t+2.3 million hours of video per year (0sts 9), where t is time in years since the start of June 2005.1 (a) Find an expression for the total number of hours V(t) of video at time t (starting from zero hours of video at t= 0). (Round your coefficients to four decimal places.) V(t)- 182.7 x (b) Use the answer to part (a) to estimate the total number of hours of video uploaded by the start of 2014. (Round your answer to the nearest million hours of video.) x million hours of video 157.87

A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 4 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t. A(t) =|

Suppose we know the following things about a function r: r(3) = -35 T'''(x) = -12 r' (1) = -3 T''(2) = Find the formula for the function r(a). =-18 Answer: r(x) =

11

H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during its first month of business where t is days since the beginning of the month. Which of the following is the correct expression for the exact number of sales over the first week? Note that H(t)20. H(t) OH(7) H'(7) H(t) dt | H(t) dt

. A ball is dropped from certain height, its position at time t is s(t) = –3t² + 75 find the time t when ball hits the ground.