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Unformatted text preview: Quiz date: Tuesday May 17 Assignment 1 Calculus I with Review
Math 150 (Summer 2011) Complete this assignment by Friday in your homework journal. This will give you plenty of time to make sure you
understand the material before the quiz at the end of Tuesday’s class.
Some suggestions for using your homework journal are: Do rough work on scratch paper. If you find one solution, try to find another (a simpler solution may reveal itself). When you ﬁnd a solution, try to see it as a whole without all the little details. Do questions in order and clearly label question and section numbers. Grade your own assignment when solutions are posted. Catch your mistakes now when the stakes are low rather than making them on exams. To obtain maximum marks on the quiz, your answer should be in a form that another student could understand without
undue effort: a poorly expressed but correct result is not sufﬁcient. Questions from textbook(s): ~ 37 £7 a? :
s a“ s a? 5 S” 5‘ 21 I: D I: 3 CI RE functions and function notation
37 E D E :1 CI RE functions and function notation
St 1 1 43 I: D I: :I C! RE functions and function notation
' ' 53 I: D I: :l C! W2E
57 I: D I: 3 CI W2E
65 I: D I: :1 CI RE functions and function notation
6 E D E :1 Cl FLP families (i.e. “types”) of functions
St. 12 8 E E] I: :I C! FLP families (i.e. ” types”) of functions
9 I: D I: 3 CI FLP families (i.e. ” types”) of functions
17 I: D I: II CI W2E
24 I: D I: :1 CI RE transformations and function composition
33 E D I: :1 Cl RE transformations and function composition
S t. 13 44 I: D I: :l C! RE transformations and function composition
55 I: D I: 3 CI W2E
61 I: D I: :I [I HLU Function composition. Remember to
64 E D I: 3 CI HLU write your solutions clearly using full sentences. Exposition of your solutions is very important if
you want someone else to understand your ideas. ‘See the legend on last page of this assignment for what these acronyms mean. Additional questions: These questions are made up by your instructor and may require a blend of ideas that we
have encountered so far in the course. They are similar to exam style questions in that it
is not entirely clear what section of the text is directly related to solving the problem. You
will have to decide what tools/ techniques are required. A1. The following parts are unrelated. a) The line L passes through the two points (1,5) and (3, —3). Determine the point(s) of
intersection of the line L and the curve 3/ = —22:2 +4z+ 1. Sketch a graph illustrating
this situation. b) Given f(3) = 11, determine a point on the graph ofy = 9(2) when g(:z:) = f(39:+7). c) Given f (5) = —1, what are all the points on the graph of the function h(z) = f (152—3)
that are possible to determine? done checked corrected study MT study ﬁnal
[:1 Cl C] C] D A2. The swimming pool shown in the ﬁgure is 3ft deep at the shallow end, 8ft deep at the
deepest end, 40ft long, 30ft wide, and the bottom is an inclined plane. Water is pumped
into the pool. (a) Express the volume of the water in the pool as a function of height h of the water
measured from the bottom of the pool at the deep end. [Hintz The volume will be a
piecewisedeﬁned function] (b) Determine the domain and range of the function found in part (b). X [+— 40 —>1‘. m I“
31 [__ I done checked corrected study MT study ﬁnal
E] Cl Cl C] E] ExtraPractice Questions:
’Ii'y these questions for some more practice. The more practice you get the better you will
understand the material and the better you will do on quizzes and exams. 0 (Stewart) Section 1.1: 19, 23, 41, 45, 47, 50, 63
0 (Stewart) Section 1.2: 3, 4, 5, ll, 15
. (Stewart) Section 1.3: 3, 7, 11, 13, 19, 23, 29, 33, 35, 39, 43, 54, 59, 63 Legend (for "type” of question):
RE = Routine Exercise: This is something you should be able to do in your sleep ;). Your goal is to be able to answer these questions quickly and accurately every time. These form the
foundations of your skill set. W2E = translating Words into Expressions: Master this skill now, we will using this all term. FLP = Foundational Level Problem: This indicates a questions which is testing your understand
ing of the fundamentals. It is not a routine exercise since the solution process may not be obvious
at ﬁrst glance, hence the name “problem”. It may take a little bit of thought to ﬁgure out what to do, don’t be afraid to play around with some ideas. You’ll learn more by making mistakes
and taking routes which lead to dead ends. You must be able to do these types of questions to
succeed in learning this material. HLU = Higher Level Understanding: This indicates a question which is testing understanding at a higher level. These questions will require more thought than a RE or FLP so don’t be discour
aged if you can’t see how to do this immediately. Perseverance and playing around with ideas is
the key to these questions. Understanding this material at this level is an expected outcome of
this course. Selected Hints 85 Answers:
1.3: 64. You should be using the deﬁnition of odd and even function in your argument. ...
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This note was uploaded on 08/10/2011 for the course MATH 150 taught by Professor Mohollund during the Summer '08 term at Simon Fraser.
 Summer '08
 MOHOLLUND

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