Determining error and sets

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Reference no: EM13126858

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

Reference no: EM13126858

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