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04/21/23 2011 CP Calc Parents
Welcome to Mrs. Liu’s
Calculus
04/21/23 2011 CP Calc Parents
• 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
04/21/23 2011 CP Calc Parents
The best way to reach mliu@mtsd.us I check my emails several times a day
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
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
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
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
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# #
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# #
04/21/23 Mrs. Liu's AP Calculus AB Block 9 16
11
sin cos
sincos 1
04/21/23 Mrs. Liu's AP Calculus AB Block 9 17
0limcos 1
0
sinlim 1
sincos 1
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
04/21/23 Mrs. Liu's AP Calculus AB Block 9 19
Example 33 Prove by “Squeeze Theorem”
x
xlim 1
x
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
When students review for a test/quiz, don’t forget to study the formulas
04/21/23 2011 CP Calc Parents
The Graphs of Eight Basic Functions
04/21/23 2011 CP Calc Parents
Transformations of Functions
04/21/23 2011 CP Calc Parents
Basic Types of Transformations
04/21/23 2011 CP Calc Parents
Graphs of Inverse Trigonometric Functions
04/21/23 2011 CP Calc Parents
Properties of Inverse Trigonometric Functions
04/21/23 2011 CP Calc Parents
Definition of the Natural
Logarithmic Function
04/21/23 2011 CP Calc Parents
Whenever there is a need to go over Pre-Calculus, don’t just sit and worry.
04/21/23 2011 CP Calc Parents
04/21/23 2011 CP Calc Parents
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
04/21/23 2011 CP Calc Parents
Midterm exam review packet with solutions
Posted two weeks before the exam
04/21/23 2011 CP Calc Parents
• 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 “mliu@mtsd.us”
• Thank you very much
Your Input is very important to me……