AP Calculus Quiz Review 4.4-4.6
Name_
1. What is the largest possible area for a right triangle whose hypotenuse is 5 cm
long, and what are its dimensions.
2.
You are designing a rectangular poster to contain 50 in2 of printing with a 4-in
margin at the t
AP Calculus Exam Project Due by the end of the day on Thursday May 16
All late will receive a 10% deduction for each day past due date.
4
Explanation
Use of Visuals
Mechanics
Demonstrated
Knowledge
Requirements
Creativity
3
2
Complete lesson,
script, or p
DERIVATIVES - TRIG FUNCTIONS
1. f (x) = 4(cos x)
2. f (x) = 3x(sin x)
3. f (x) = x 3 (sin x)
4. f (x) = x ! x 2 (cos x)
5. f (x) =
sin x
x
7. f (x) = 2x(cos x) + x 2 (sin x)
9. f (x) = 3x 2 (sin x) ! x 3 (cos x)
6. f (x) =
x2
cos x
8. f (x) = sin x cot x
Implicit Differentiation
a) With respect to x
x 2 y + xy 2 = 6
dy
dy
dy 2
x + 2xy = 2xy y 2
1. 2x y + 1 x 2 + 1 y 2 + 2 y x = 0
dx
dx
dx
2
2xy y
dy
y(2x + y)
=
=
2
dx
x(x + 2 y)
x + 2xy
(
(
(
)
)
)
x 3 xy + y 3 = 1
dy
dy
dy
dy
= 0 3x 2 y x + 3y 2
=0
2.
DERIVATIVES - TRIG FUNCTIONS
1. f (x) = 4(cos x)
2. f (x) = 3x(sin x)
f '(x) = 3sin x + ( cos x ) 3x
f '(x) = 4 sin x
f '(x) = 3( sin x + x cos x )
3. f (x) = x 3 (sin x)
4. f (x) = x x 2 (cos x)
f '(x) = 3x 2 ( sin x ) + ( cos x ) x 3
f '(x) = 1 2x cos x
10-1 Introduction to Conic Sections
Algebra 2
Day 1
conic section
EX1: Solve each equation for y.
A
C.
=1
4x2 + 25y2 = 100
B
x2 = 1
D.
1
10-1 Introduction to Conic Sections
Algebra 2
Day 2
While some conic sections are functions, not all of them are. Som
Alg 2
10-3 Ellipses center (h,k) WS 1
name_
Graph the following ellipses, give the center, the x and y distances and circle the direction.
1.
( x 3) 2 ( y 1) 2
1
16
25
center_ x =_ y = _
horiz
3.
center_ x =_ y = _
horiz
center_ x =_ y = _
vert
( x 5) 2 y
Algebra 2 H Syllabus
I. Course Information
Instructor: Mrs. Chalmers
Prerequisite: Algebra 1 H or teacher placement
Credits: 2
Textbook: Holt Algebra 2 book
Tools: pencil, pen, planner/calendar, 3 ring binder,
TI-83 or TI-84 calculator, iPad
II. Major Cou
Algebra! Algebra! Algebra!
What do you remember?
1. Solve the following equation x2 + 2x -15=0
1
2. Graph the following equation y =
2
x
3. Factor the following expression. 2x3 -7x2 + 3x
4c 3 x 5
4. Simplify.
2c 4 x 6
5. Solve the linear system
x + 2y =4
THE PLAN
We are going to flip our classroom for the next chapter. That means you
will watch lectures at home off of youtube and then work on hw problems and
a collaborative project during class time. This is a work in progress suggestions are welcome as w
Algebra 2H
After each quiz, you will be writing a journal entry. They need to be written in complete
sentences and you need to use proper grammar. Make sure you are using your own
words! Please make sure you proof read it and turn in your best product pos
Section 3-6 Practice B
Algebra 2 H
Solve each system of equations. Classify each as consistent or inconsistent,
dependent, independent or neither. You may use any method but you must
show your work!
6-1 Polynomials
Algebra 2H
monomial
polynomial
degree of a monomial
degree of a polynomial
leading coefficient
binomial
trinomial
polynomial function
Ex 1: Identify the degree of each monomial.
z6
a2bc3
5.6
Ex 2: Rewrite each polynomial in standard form.
stated as
a c
, ad bc, or ad +
b
d
LESSON 3-2
Practice A
bc 0.
1. a. x = 4
Problem Solving
b. y = 1
4 x + 8 y = 26
1. a.
x + 1= y
c. (4, 1)
2. (3, 2)
b.
3. (1, 5)
4. (1, 3)
4x + 8y = 26
x+1=y
12 x + 15 y = 21
5. a.
12 x 16 y = 24
x
y
x
y
1
2.75
1
2
1.