A farmer wants to enclose a rectangular area and then divide it into three pens with fencing so separate the pens, but fencing is not needed along the back (behind the pens is a barn). If the area to be fenced in is to be 400 square feet, what is the smallest amount of fencing the farmer can use? Use the formulas F = 4w + l A = lw Find the most general anti derivative of f. f(x) = 3sec2 x - 4x2 The acceleration is given. Find the position function v(f) Distance is measured in meters and time is in seconds. a(t) = 4t + 3 v(2) = 4 a(1) = 3 Evaluate the indefinite integral (+ sec x tan x/3)dx Evaluate the indefinite integral (4 + 2 cos x)3 sin xdx Evaluate the defined integral (t - 2)(t + 4)dt Evaluate the definite integral 5/(2x + 1)5dx Find the exact area of the region that lies beneath the given curve on the given interval f(s) = cos 3x + 2sin x 0 x x/6 Find the derivative g(x) = sect4dt For problem 2 use the following y = 3x - 1/x2 + 4x +4 y'= 8 - 3x/(x + 2)3 y" = 6x -30/(x + 2)4 Find the horizontal asymptote(s) and the vertical asymptote(s) Find the intervals of increase or decrease Find the local maximum and local minimum values Find the intervals of concavity and inflection points Sketch the curve (label all the maxes, mins, inflection points, and asymptotes)
