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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbdacc8d-eeb8-495d-812c-95fc34e8bb31%2F90bfd851-0b9e-4029-b347-edb5e0e4af04%2Fq4z7mr_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
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