1. A factory manufactures widgets. The rate of production of widgets after t weeks is (dx/dt) = 30(1-((20)/((t-20)^2))) widgets/week.

Question

A. Determine the rate at which widgets are produced at the start of week 1. Set up the expression but do not simplify.

B. Determine the number of widgets produced from the beginning of production to the beginning of the fifth week.

C. Determine the number of widgets produced from the beginning of production to the beginning of the fourth week.

Answer 1

enough already!