The Nearsighted Cow Problem: A Calculus Classic. A rectangular billboard 5 feet in height stands in a field so that its bottom is 13 feet above the ground. A nearsighted cow with eye level at 4 feet above the ground stands
x
feet from the billboard. Express
θ
, the vertical angle subtended by the billboard at her eye, in terms of
x
. Then find the distance 0
x
0
the cow must stand from the billboard to maximize
θ
.

You have 6 dollars +12 pennies +to quarters + 4 dimes=2 nickels how much do you have

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Graph y ≥ -x^2 - 1. click on the graph until the correct graph appears.