Find the quadratic approximation to f(x) = /x + 3 near a = 1. Graph f, the quadratic approximation, and the linear approximation from Example 1 on a common screen. What do you conclude?

The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)

Given that f(x) = x² + 3x and g(x) = x + 4, calculate %3D %3D (a) ƒ o g( – 5)= (b) go f( – 5)= Question Help: DVideo Submit Question hp

The total fresh vegetables consumed per person per year can be modeled by V(t) = 0.2(t- 2)² + 64.8 where V(t) is the total fresh vegetables consumed per person in pounds per year t years since 2013. Find when the minimum intake of fresh vegetables per person occurred? {final answer will be just number only}