Terry enters an ultra-marathon race of 48 miles. His average walking speed is 3 miles per hour, and his average running speed is 8 miles per hour. Let x = number of hours he walksLet y = number of hours he runs

Suppose that x and y are both differentiable functions of t and are related by the given equation. use implicit differentiation with respect to t to determine startfraction dy over dt endfraction in terms of x, y, and startfraction dx over dt endfraction .

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

What is the value of x in the diagram below?