1. consider the surface area of the pyramid shown.

(a) write the formula for the area of the base. what is the area of the base? show your work.
(b) write the formula for the area of one side. what is the area of the side? show your work.
(c) use part (a) and part (b) to find the total surface area. show your work.

Find dy/dx using implicit differentiation ln(20+e^xy)=y

At store a, erasers are sold individually. the cost y of x erasers is represented by the equation y=0.75x. the costs of erasers at store b are shown in the graph.

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)