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Calculus test revision

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WTW 134 Class test 2A
Date: 1 April 2021
Time: 1 hour
Marks: 10
SURNAME
NAME
STUDENT NUMBER
Circle your practical group: 1
2
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INSTRUCTIONS ON SUBMITTING YOUR ASSIGNMENT
1. The test must be submitted as a ClickUP assignment before 18:30 on 1 April 2021.
The study guide regulations for the submission of a ClickUP assignment applies.
2. If you cannot print the test, use ruled paper, number the questions clearly
and answer in the format of the assignment.
3. You have to use a PDF scanner e.g. Camscanner to scan your test.
Make sure the pages are upright and in focus.
Pages that are not upright and in focus cannot be marked.
4. Pages must be submitted in chronological order and your student card must
be displayed in the top right corner of every page that you submit.
5. Your submitted test must be directly accessible.
If your test is not directly accessible, it cannot be marked.
6. If your submission via clickUP is not successful, then you can email the
test to wtw134@up.ac.za, provided that you attach proof of your
failed ClickUP submission.
7. You have to complete and submit the declaration (of originality)
as part of the test.
INSTRUCTIONS ON COMPLETING THE ASSIGNMENT
1.
2.
3.
4.
The test consists out of two questions and three pages.
Use a black or blue pen to answer all the questions.
Show all the steps for every question.
Round your answers to two decimal numbers.
DECLARATION
The University of Pretoria commits itself to produce academic work of integrity.
I affirm that I am aware of and have read the Rules and Policies of the University,
more specifically the Disciplinary Procedure and the Tests and Examinations Rules,
which prohibit any unethical, dishonest or improper conduct during tests, assignments,
examinations and/or any other forms of assessment. I am aware that no student or any
other person may assist or attempt to assist another student, or obtain help, or attempt
to obtain help from another student or any other person during tests, assessments,
assignments, examinations and/or any other forms of assessment.
Signature:________________________________________
WTW 134 Class test 2A Date: 1 April 2021_page 1 of 3
Question 1
[5]
Search and rescue teams work to find lost hikers. Members of the search team separate
and walk parallel to one another through the area to be searched. The given table shows
the percentage P of lost individuals found for various separation distances, d, of the
searchers, in meters.
d (in meters)
20 40 60 80 100
P (in percentage) 99 87 75 63 51
1.1 Find the formula for P  fd if f is a linear function.
1.2 Interpret the following statement on the interval 40, 80:
P  f80  f40  0. 2759
f40
f40
WTW 134 Class test 2A Date: 1 April 2021_page 2 of 3
Question 2
[5]
Find the interval(s) where each of the following functions is (are) continuous if
2.1 kx 
1
3x
2.2 hx  px  rx with px  lnx and rx 
4  x2
WTW 134 Class test 2A Date: 1 April 2021_page 3 of 3
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