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Suppose That a Computer Takes 10710^{-7} Seconds to Add Two Numbers Together, and It Takes

Question 78

Multiple Choice

Suppose that a computer takes 10710^{-7} seconds to add two numbers together, and it takes 10510^{-5} seconds to multiply two numbers together.The computer is asked to integrate the function f(x) =3x2f(x) =3 \cdot x^{2} from 0 to 1 using left hand sums with n divisions.As a function of n, let T(n) denote the time used by the computer to do the calculation.Compute T(n) .(The computer figures x2 as x · x.)


A) 2n×105+(n1) ×1072 n \times 10^{-5}+(n-1) \times 10^{-7}
B) 2n×107+2(n1) ×1052 n \times 10^{-7}+2(n-1) \times 10^{-5}
C) n×105+n×107n \times 10^{-5}+n \times 10^{-7}
D) n×105+2n×107n \times 10^{-5}+2 n \times 10^{-7}

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