MATH 1500 Study Guide - Midterm Guide: Squeeze Theorem
3 Jul 2018
School
Department
Course
Professor
DATE: October 6, 2017
DEPARTMENT & COURSE NO: MATH1500
EXAMINATION: Introduction to Calculus
International College of Manitoba
TERM TEST 1
TITLE PAGE
TIME: 1 hour
EXAMINER: Various
NAME: (Print in ink)
STUDENT ID:
SIGNATURE: (in ink)
(I understand that cheating is a serious offense)
CHECK THE BOX IN FRONT OF YOUR INSTRUCTORS NAME
Maryna Shulyakova Yaser Maddahi (Monday morning)
Oumar Gueye Yaser Maddahi (Monday afternoon)
Liliana Menjivar Yaser Maddahi (Tuesday morning)
Hamidreza Farhadi Yaser Maddahi (Tuesday afternoon)
Sushil Kumar (Monday class) Sushil Kumar (Wednesday class)
Liangjin Yao (Tuesday class) Liangjin Yao (Thursday class)
Vladimir Nosov
INSTRUCTIONS TO STUDENTS:
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INSTRUCTIONS TO STUDENTS:
This is a 1 hour exam. Show all your work and justify
your answers. Unjustified answers will receive
LITTLE or NO CREDIT.
No texts, notes, or other aids are permitted.
Calculators, cell phones, electronic translators, and
other electronic devices are not permitted.
This exam has a title page, 6 pages of questions, and 2
blank pages for rough work. Please check that you
have all the pages. You may remove the blank pages if
you want, but be careful not to loosen the staples.
Answer each question on the exam paper in the space
provided beneath the question. If you need more
room, you may continue your work on the revised
side of the page, but CLEARLY INDICATE that your
work is continued.
Question Points Score
1 3
2 20
3 8
4 5
5 6
6 6
Total: 48
find more resources at oneclass.com
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DATE: October 6, 2017
DEPARTMENT & COURSE NO: MATH1500
EXAMINATION: Introduction to Calculus
International College of Manitoba
TERM TEST 1
PAGE: 1 of 8
TIME: 1 hour
EXAMINER: Various
1. Determine the domain of the following function.
(a) [3 points] f(x) = √x+ 2
(x−3)(x+ 4).
Solution. The domain of fis all xsuch that (x−3)(x+ 4) 6= 0
and x+ 2 ≥0.1 mark
Then
(x−3)(x+ 4) 6= 0 ⇔x6=−4, x 6= 3,
and x≥ −2.1mark
Then domain of fis [−2,3) ∪(3,∞).1 mark
2. Find the following limits. If the limit does not exist, determine whether it is ∞,−∞ or neither.
(a) [3 points] lim
x→3
2x2−5x−3
9−x2
Solution.
lim
x→3
2x2−5x−3
9−x2= lim
x→3
(2x+ 1)(x−3)
−(x−3)(x+ 3) 1 mark
= lim
x→3−2x+ 1
x+ 3 1 mark
find more resources at oneclass.com
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15
MATH 1500 Full Course Notes
Verified Note
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Document Summary
Signature: (in ink) (i understand that cheating is a serious offense) Show all your work and justify your answers. No texts, notes, or other aids are permitted. Calculators, cell phones, electronic translators, and other electronic devices are not permitted. This exam has a title page, 6 pages of questions, and 2 blank pages for rough work. Please check that you have all the pages. You may remove the blank pages if you want, but be careful not to loosen the staples. Answer each question on the exam paper in the space provided beneath the question. If you need more room, you may continue your work on the revised side of the page, but clearly indicate that your work is continued. Examiner: various: determine the domain of the following function. (a) [3 points] f (x) = X + 2 (x 3)(x + 4)
