Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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- 1. Consider the following function f(x) 2sin(x+), x ≥0 ex√3 x ≤ 0 (a) Plot both f(x) and f'(x) for x = [-1, 1]. Include enough points so that the curve you plot appears smooth. Use different colors and separate label to represent the function and its derivative respectively. Label the axes x and y, and use grid. You must use Sympy and Matplotlib. Manual differentiation is not allowed. (b) Using numerical method (trapezoid or rectangular rule), evaluate the following integral accurate upto 3 decimal points. (You cannot use SymPy or SciPy) L', f(x) dxarrow_forwardPlease do the following questions with the full python coding and explanation below each question typedarrow_forwardAlice has asked you to help her classify these functions based on their asymptotic growth rate. That is, she wants you to prove a tight big-Theta bound for each function by following these steps. i. Use algebra to simply the function for ease of analysis. Remember the goal of simplification is to isolate terms and identify the dominant term. For instance, we might want to expand (n + 1)² to n² +2n+1 to see that n² is the dominant term. ii. Use your intuition, the limit test, or algebra to come up with a good guess of a tight bound. For instance, after isolating n² as the dominant term we might guess our polynomial is in (n²). iii. Use the limit test or the definitions to prove that your guess is correct. Both methods can provide correct proofs, and its a good idea to practice both methods. Sometimes our guess is incorrect and we need to return to the previous step. Transcribed Image Text: Alice has asked you to help her classify these functions based on their asymptotic growth rate.…arrow_forward
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