In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population moves into the city. a 2019 census measures 10,000,000 residents in the city and 800,000 in the suburbs. (a) set up a difference equation (of the form ~xn+1 = a~xn) that describes this situation, where ~x0 is the initial population in 2019. (b) estimate the populations in the city and suburbs two years later, in 2021.

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. with the given information, which of these statements is a reasonable conclusion? a there will be 24 milliliters of water in the bucket after 16 hour. b there will be 60 milliliters of water in the bucket after 14 hour. c there will be 160 milliliters of water in the bucket after 20 minutes. d there will be 100 milliliters of water in the bucket after 40 minutes.

Write an algebraic expression for the word expression the quotient of c and 8