a. Write the equation of the line that represents the linear approximation to the following function at the given point a. b. Use the linear approximation to estimate the given quantity. c. Compute the percent error in the approximation, 100. f(x) = 3ex at a = 0; f(0.05) approximation - exact exact 1 where the exact value is given by a calculator.

Jerry is driving across the country at a constant speed.   Jerry enters Intersate 90 and and starts a clock as he passes mile marker 52.   After 5.4 hours, Jerry passes miles marker 484.   Represent the time elapsed in hours using the independent variable t.   Represent the mile marker passed at time t with the dependent variable x.   At what speed is Jerry driving? miles per hour   Write a formula to compute the mile marker x as a function of t.   x=   What mile marker is Jerry passing when 8.6 hours have elapsed?

Suppose the number of bacteria in a culture is modeled by the function P(t) = 1750e0.1t, where t is measured in hours. Determine the time it will take for the number of bacteria to reach 2914. Round answer to 1 dec. place. t = hours

Find the max, min and intervals of inc/dec of the following function: f(x)=ex/(3x) a. Identify what test you will use b. Use the test correctly c. Write formal sentences for your answer and address all parts of the question.