Your muscle car's gas mileage (in miles per gallon) is given as a function M(x) of speed x in miles per hour, where the following is true. 3,000 MX) x + 3,600x-1 Calculate M'(x). M'(x) = Now calculate M'(40), M'(60), and M (110). (Round your answers to four decimal places.) M(40) mpg/mph M (60) = mpg/mph M' (110) = mpg/mph What do the answers tell you about your car? mph is the most fuel-efficient speed for the car The predator satiation model for population growth specifies that the reproductive rate of an organism as a function of the total population varias according to the formula, IP RCP) 1+ kp where p is the total population in thousands of organisms, and k are constants that depend on the particular circumstances and the organism being studied, and Rp) is the reproduction rate in new organisms per hour. Given that k = 0 3 and r= 0.07, find 'p) MR' 2) = Find Ro). Round your answer to four decimal places) RS housand organismes per hour per one thousand organism Interpret the result This means that the reproduction rate of organisms in a cultura containing additional organisms organisms Matrate of organisms per hour per one thousand Find the equation of the line tangent to the graph of the given function at the point with the indicated x-coordinate. x+1 f(x) = -; X= 4 x+3 y =