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?

You are a researcher for a golf club manufacturer. you are given two identical looking cubes of a metal alloy. you are informed that they are made of the exact same material, but one is crystalline, whereas the other is amorphous. it is your job to determine which one is amorphous this one is more stress-resistant and is useful in reinforcing golf clubs. which of the following is the best way to determine which is which? a. determine the density of each cube. the more dense one is the amorphous solid. b. melt both cubes and look for a broader range of melting temperatures. the one that melts over a broader range of temperatures is the amorphous solid. c. determine the density of each cube. the less dense cube is the amorphous solid. d. melt both cubes and measure the range of melting temperatures. the one that melts over a narrower range of temperatures is the amorphous solid.