The material for the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides.

use lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cot c.

(maximize v = xyz subject to 1.5xy + 2xz + 2yz = c.)

Two parallel lines are crossed by a transversal. what is the value of x? x = 40 x = 70 x = 110 x = 130

What is the y-intercept of the line given by the equation

Suppose that 3% of all athletes are using the endurance-enhancing hormone epo (you should be able to simply compute the percentage of all athletes that are not using epo). for our purposes, a “positive” test result is one that indicates presence of epo in an athlete’s bloodstream. the probability of a positive result, given the presence of epo is .99. the probability of a negative result, when epo is not present, is .90. what is the probability that a randomly selected athlete tests positive for epo? 0.0297