Exercise 2.11 in your textbook. For this problem and the next one, consider setting up an equation T(n1)/t1 = T(n2)/t2. Think about what this equation means.

2.11 An algorithm takes 0.5 ms for input size 100. How long will it take for input size 500 if the running time is the following (assume low-order terms are negligible):

a. linear b. O(NlogN)

c. quadratic d. cubic

2.12 An algorithm takes 0.5 ms for input size 100. How large a problem can be solved in 1 min if the running time is the following (assume low-order terms are negligible): a. linear b. O(NlogN)

c. quadratic d. cubic