Lineal function: we want to rent a motorcycle for a day. A company charges a fee of $ 20 per day, plus a distance surcharge of $ 2 for every 10km. another company directly charges $ 35 per day with unlimited mileage. In which cases is each company appropriate?

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.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Factor the polynomial. b^2 + 4b + 4