1) Suppose the velocity v (in m/s) of a some moving object can be computed by the formula v=10t+4, where t (in s) is the time elapsed
(a) What is the biggest possible error (worst case) of v if the error in the measurement of t is known to be less than 0.01?
(b) What maximal error in the measurement of t is known to be would be acceptable if the resulting error of v should be less than 0.006?
2) Find the set of all real numbers x that satisfy the property
(a) |x-5| < e for all positive numbers e
(b) |x-5|< = e for all positive numbers e