Estimation and Limits -- Multiplying a Function by a Constant -- Answers

1. For the function f(x) = x, delta = 0.01 will do.

   For the function g(x) = 2 x, delta = 0.005 will do.

2. For the function f(x) = x^2, delta = 0.00250 will do.

   For the function g(x) = 2 x^2, delta = 0.00125 will do.

3. For the function f(x) = sin x, delta = 0.01 will do.

   For the function g(x) = 2 sin x, delta = 0.005 will do.

4. The manufacturing cost for this part for the luxury market will be $25.00 and for the price conscious market it will be only $2.00. Thus, this one part contributes $23.00 to the difference between the manufacturing costs for the two markets.