Lesson 2-1: Rates of Change and Limits Day #1 AP Calculus Mrs. Mongold.
Welcome to Mrs. Liu’s Calculus
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Transcript of Welcome to Mrs. Liu’s Calculus
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04/21/23 2011 CP Calc Parents
Welcome to Mrs. Liu’s
Calculus
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• Be positive about learning• Pay attention and ask Q’s in class ; Work on HW daily
• Focus on the growth and enjoy the learning process
Always encourage kids to
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The best way to reach [email protected] I check my emails several times a day
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04/21/23 2011 CP Calc Parents
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 11
P( x ,y )
1
x cosQ
y sin
A(1,0 )
T(1,tan )area of OAP
1= bh
2
#
1(1)(sin )
2
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 12
P( x ,y )
1
x cosQ
y sin
A(1,0 )
T(1,tan )area of sector OAP
21= r
2
21(1 )( )
2
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 13
P( x ,y )
1
x cosQ
y sin
A(1,0 )
T(1,tan )area of
1h
OAT
= b2
#
1(1)tan
2
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 14
P( x ,y )
1
x cosQ
y sin
A(1,0 )
T(1,tan ) OAP< < AOAP O T# #
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 15
1 1 1sin tan
2 2 2
11
sin cos
OAP< < AOAP O T# #
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 16
11
sin cos
sincos 1
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 17
0limcos 1
0
sinlim 1
sincos 1
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 18
OO
O
OO
O
O
OO
·····
··
·· § ¨y = x
y x
y x 1
x x1 x
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04/21/23 Mrs. Liu's AP Calculus AB Block 9 19
Example 33 Prove by “Squeeze Theorem”
x
xlim 1
x
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When students review for a test/quiz, don’t forget to study the formulas
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The Graphs of Eight Basic Functions
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Transformations of Functions
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Basic Types of Transformations
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Graphs of Inverse Trigonometric Functions
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Properties of Inverse Trigonometric Functions
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Definition of the Natural
Logarithmic Function
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Whenever there is a need to go over Pre-Calculus, don’t just sit and worry.
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04/21/23 2011 CP Calc Parents
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How do students study to prepare for Midterm/Final Exam
• Go over returned tests , quizzes • Review packet distributed 2 weeks earlier • Download Solutions on webpage
• In-class 5-day review• Textbook
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Midterm exam review packet with solutions
Posted two weeks before the exam
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• If there is ANY concern or INFORMATION that might help me to better understand your child’s need in learning “Calculus”, please don’t hesitate to email “[email protected]”
• Thank you very much
Your Input is very important to me……