2:49 . LTE 45 l Graded Individual Assessment Problem Set B 1. The diagram below shows the function Q(p) drawn to scale. -4 -3 -1 10 8 6 4 2 -4 -6 1 3 5 6 Using the diagram above, if the equation of the straight line for the interval 2 ≤ p ≤ 5 is Q(p)=2p-a, use the knowledge of limits to determine the value(s) of a since the limit exists when p = 3 and 4. State one (1) reason to satisfy your solution. [4 marks] 2. Evaluate the following limits: 1-6 a) lim 10r2 T-4 20 [2 marks] b) lim q-3-79-6 900 2q4+4q-3-10q-8 [7 marks] c) lim -7x3+7 x-1 3x²-x-2 [10 marks] 3. Given that lim et-1 t-07+2te-2t-7e use the Rules of Limits and differentiation (for reducing the expression) to evaluate lim{[h(t)][2]}. [10 marks] 3
2:49 . LTE 45 l Graded Individual Assessment Problem Set B 1. The diagram below shows the function Q(p) drawn to scale. -4 -3 -1 10 8 6 4 2 -4 -6 1 3 5 6 Using the diagram above, if the equation of the straight line for the interval 2 ≤ p ≤ 5 is Q(p)=2p-a, use the knowledge of limits to determine the value(s) of a since the limit exists when p = 3 and 4. State one (1) reason to satisfy your solution. [4 marks] 2. Evaluate the following limits: 1-6 a) lim 10r2 T-4 20 [2 marks] b) lim q-3-79-6 900 2q4+4q-3-10q-8 [7 marks] c) lim -7x3+7 x-1 3x²-x-2 [10 marks] 3. Given that lim et-1 t-07+2te-2t-7e use the Rules of Limits and differentiation (for reducing the expression) to evaluate lim{[h(t)][2]}. [10 marks] 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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