Suppose a person wants to travel d miles at a constant speed of left parenthesis 60 plus x right parenthesis(60+x) mi/hr, where x could be positive or negative. the time in minutes required to travel d miles is upper t left parenthesis x right parenthesis equals 60 upper d left parenthesis 60 plus x right parenthesis superscript negative 1t(x)=60d(60+x)−1. a. given the linear approximation to t at the point xequals=0 is upper t left parenthesis x right parenthesis almost equals upper l left parenthesis x right parenthesis equals upper d left parenthesis 1 minus startfraction x over 60 endfraction right parenthesist(x)≈l(x)=d1− x 60, approximate the amount of time it takes to drive 8181 miles at 5858 mi/hr. b. what is the exact time required?

22. the effect of threshold braking is to a cause skids. b. lock wheels. c. prevent locking of wheels. d. increase stopping distance.

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

Why are graphs useful when interpreting data