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Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Quiz sin 4x 1. Calculate lim . x→0 X 2. Find lim x-2 Does it exist? |x - 21 X 3. Find the asymptotes of - function. and plot them as dashed lines with the x² – 3x cos 4. Compute lim 0→π/21+ sin 0° 5. Consider the function f(x)= 1 3x² +1 a) What are the first and second derivatives? b) What are the critical points for this function? c) What is f" evaluated at these critical points? d) Are there any local minima or maxima? Plot the function and show them on the graph. 6. Use MATLAB to show that y = 2 sin t−3 cos t does not satisfy y" - 11y = -4 cos 6t. 7. Find a solution of dx/dt = −2x + 8 and plot for constants C1 = 1,2,...5 on the same graph. 8. Find a solution of y" - y' -2y = 2t, y(0) = 0, y' (0) = 0. 9. Solve the system x" + x = 0, p'+p+x=0, x (0) = 4, x' (0) = p(0) = 0. 10. Solve the system x" + 2x + x = 0, p' = x, x (0) = 1, x' (0) = p(0) = 0 and generate a phase portrait.
Transcribed Image Text:Quiz sin 4x 1. Calculate lim . x→0 X 2. Find lim x-2 Does it exist? |x - 21 X 3. Find the asymptotes of - function. and plot them as dashed lines with the x² – 3x cos 4. Compute lim 0→π/21+ sin 0° 5. Consider the function f(x)= 1 3x² +1 a) What are the first and second derivatives? b) What are the critical points for this function? c) What is f" evaluated at these critical points? d) Are there any local minima or maxima? Plot the function and show them on the graph. 6. Use MATLAB to show that y = 2 sin t−3 cos t does not satisfy y" - 11y = -4 cos 6t. 7. Find a solution of dx/dt = −2x + 8 and plot for constants C1 = 1,2,...5 on the same graph. 8. Find a solution of y" - y' -2y = 2t, y(0) = 0, y' (0) = 0. 9. Solve the system x" + x = 0, p'+p+x=0, x (0) = 4, x' (0) = p(0) = 0. 10. Solve the system x" + 2x + x = 0, p' = x, x (0) = 1, x' (0) = p(0) = 0 and generate a phase portrait.
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