MASC 10003 Higher College of Technology Intermediate Mathematics Questions I have uploaded file named “Questions” related to Mathematics, consist of Five (5) Tasks. Solve them all.*** Attachment named “Questions” has been uploaded.*** Replace “Z” mentioned in questions with 73. Intermediate Mathematics (MASC 10003.2) – Spring – 2020 – CW (Assignment-1) – ALL – QP
ASSIGNMENT – 1
Module Code: MASC 10003.2
Module Name: Intermediate Mathematics
Level: 1
Instructions to Student
Answer all questions. Show all steps of Answer.
Module Learning Outcomes
The student will achieve the following LOs by completing the assignment successfully
1) Demonstrate systematic understanding of the basic concepts of probability and
probability distributions.
2) Evaluate the limit of a function numerically, graphically and algebraically.
3) Compute first and higher order derivatives of functions (explicit and implicit
differentiation) (up to higher order derivatives of explicit Functions will be covered)
Assignment Objective
To assess learning attained by you on the above-mentioned Learning Outcomes.
Assignment Tasks
Task 1: Answer the following:
a. Ahmed who has four dice is rolling all. Find the probability of getting four 3s?
b. Two dice are rolled simultaneously. What is the probability of getting doublet (same number on
both dice) of even numbers?
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Intermediate Mathematics (MASC 10003.2) – Spring – 2020 – CW (Assignment-1) – ALL – QP
Task 2: Answer the following:
a. The compressive strength of samples cement can be modelled by a normal distribution with
a mean of 6000 kilograms per square centimeter and a standard deviation of 100 kilograms
per square centimeter. Find the probability that a sample’s strength is between 5800 and 5900
/ 2?
b. Evaluate the following limit numerically.
−
→
−
.
Task 3: Answer the following:
a. Find the following limits based on the figure 1.
Figure 1
lim ( )
i.
→
ii. lim ( )
→
iii. lim ( )
→
b. Evaluate the following:
lim [
→−
√−(16∗ ) −(4∗ )
+
]
Task 4: Answer the following:
a. Find the derivative of the following function using the definition of differentiation method.
( ) = − 2 + − 5
4 − 4
→ −
b. If lim
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= (108 ∗ ), find the value of ” “.
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Intermediate Mathematics (MASC 10003.2) – Spring – 2020 – CW (Assignment-1) – ALL – QP
Task 5: Answer the following:
a.
Find the first order derivative for the following:
=
b. Find
2
,
2
( (3∗ ) ) ( ∗ 2 )
5
if = (3 ∗ ) 4 + ( ) + ln(2 + 3)
Rules & Regulations:
All resources should be cited using CU Harvard style.
The final assignment must have a Title page, Table of Contents, References/ bibliography using
CU Harvard Style and page numbers.
Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of
the faculty.
Softcopy in word format is to be submitted through Turnitin link on Moodle.
Viva will be conducted after the assignment submission as per the dates informed earlier.
Guidelines:
Assignment must be computer typed.
Font – Times New Roman
Font – Style – Regular
Font – Size – 12
Heading should be with Font Size 14, Bold, Capital and Underline.
Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable
software or by pencil.
Each student has to do the assignment individually / Students have to do the assignment
collaboratively and each student should write a brief reflection on their contribution and learnings
from group work.
You can refer books in eLibrary or use internet resource. But you should not cut and paste material
from internet nor provide photocopied material from books. The assignment answers should be
in your own words after understanding the matter from the above resources.
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