A) Find the equation of the tangent line to the curve y= 5e-8x at the point (0, 5).
B) Solve for t.
e0.09t = 9
C) Rancher Johann wants to build a three-sided rectangular fencenear a river, using 280 yards of fencing. Assume that the riverruns straight and that Johann need not fence in the side next tothe river.
Johann wants to build a fence so that the enclosed area ismaximized.
- What should be the length of each side runningperpendicular to the river?
yards
- What should be the length of the side running parallelto the river?
yards
- What is the largest total area that can be enclosed?
square yards
D) Find the absolute maximum and minimum values on the closedinterval [-3,3] for the function below. If a maximum or minimumvalue does not exist, enter NONE.
f(x) = (4x)/(x2 + 1)
E) When a baseball park owner charges $5.00 for admission, thereis an average attendance of 100 people. For every $0.25 increase inthe admission price, there is a loss of 2 customers from theaverage number.
- What admission price should be charged in order to maximizerevenue
- What is the maximum revenue?
F) Find the derivative.
f(x) = x6 ·e2x
