8-1 Polar Coordinates
p. 590: 9-19 odd, 29-55 odd
I. Polar Coordinates
A.
B.
B. The Polar Plane
II. Converting Polar to Rectangular
Given
, then
( r , )
x r cos and y r sin
III. Converting Rectangular to Polar
Given P
, then
(x, y)
and
2
r x y
2
tan 1
y
AP CALCULUS BC
2015/2016 CHAPTER 1 TEST - FORM A
Name: _
Period: _
SHOW ALL NEEDED WORK IN ORDER TO GET CREDIT - NO CALCULATORS
1.
Graph the piecewise function
_
40
[11 points]
x2
f ( x) x 2 4
0
x 2
x 2
a. Identify all points of discontinuity.
b. Classi
NAME: _
FORM A AP CALC BC
PERIOD: _
CHAPTER 3 TEST GCs PERMITTED
Free Response Section ROUND OFF USING THREE DECIMAL PLACES!
1.
Does everyone know that Mrs. Berkovich and Mrs. Cisnero were in Paris last week? They got an
excellent idea for an optimization
AP CALCULUS BC - CHAPTER 5 TEST 2015/2016
Period: _
FORM A
Name: _
Name: _
Name: _
Name: _
This is my Holiday Present to you all.
Do your very best, divide the work and
double check each other.
(WRITE ALL FOUR NAMES IN EACH
TEST)
1.
2.
4.
6.
y 2arc tan x
AP CALCULUS BC - CHAPTER 3 TEST - OPEN ENDED SECTION
PERIOD 3
Name: _
1.
Let f(x) be a differentiable function such that f(2)=4 and f'(2)=-1/2. What is the approximation for f(2.1) found
by using the linearization at x=2?
A.
2.95
B.
3.95
C.
4.05
D.
4.1
2.
AP CALCULUS BC - CHAPTER 3 TEST - OPEN ENDED SECTION
Name: _
1.
PERIOD 3
CALCULATORS OK - IF ROUNDING 3 decimal places
2.
The figure to the right shows the graph of the
derivative of a continuous function f(x) on [-4, 4].
a.
State in interval notation for
AP CALCULUS BC - CHAPTER 3 TEST - OPEN ENDED SECTION
PERIOD 3
Name: _
1.
Let f(x) be a differentiable function such that f(2)=4 and f'(2)=-1/2. What is the approximation for f(2.1) found
by using the linearization at x=2?
A.
2.95
B.
3.95
C.
4.05
D.
4.1
2.
AP CALCULUS BC - CHAPTER 3 TEST - OPEN ENDED SECTION
Name: _
1.
PERIOD 3
CALCULATORS OK - IF ROUNDING 3 decimal places
2.
The figure to the right shows the graph of the
derivative of a continuous function f(x) on [-4, 4].
a.
State in interval notation for
NAME: _
FORM A AP CALC BC
PERIOD: _
CHAPTER 3 TEST GCs PERMITTED
Free Response Section ROUND OFF USING THREE DECIMAL PLACES!
1.
Does everyone know that Mrs. Berkovich and Mrs. Cisnero were in Paris last week? They got an
excellent idea for an optimization
NAME: _
PERIOD: _
FORM A
AP CALC BC
CHAPTER 3 TEST
Multiple Choice Section NO GCS ALLOWED!
1.
2.
Which of the following statements is/are true?
I.
II.
III.
A function on a closed bounded interval must achieve an absolute min and max.
Every absolute extrem
AP CALC BC
CHAPTER 3 TEST - FORM A
1.
NAME:_
PERIOD: _
TRUE OR FALSE:
_
40
[2]
If f '(c) = 0, then (c, f(c) is a point of inflection. Justify your answer.
TRUE OR FALSE: _
JUSTIFICATION: _
_
2.
TRUE OR FALSE:
[2]
If f '(c) = 0 and f '(c) < 0, then f(c) is
NAME: _
PERIOD: _
FORM A
AP CALC BC
CHAPTER 3 TEST
Multiple Choice Section NO GCS ALLOWED!
1.
2.
Which of the following statements is/are true?
I.
II.
III.
A function on a closed bounded interval must achieve an absolute min and max.
Every absolute extrem
AP CALC BC
CHAPTER 3 TEST - FORM A
1.
NAME:_
PERIOD: _
TRUE OR FALSE:
_
40
[2]
If f '(c) = 0, then (c, f(c) is a point of inflection. Justify your answer.
TRUE OR FALSE: _
JUSTIFICATION: _
_
2.
TRUE OR FALSE:
[2]
If f '(c) = 0 and f '(c) < 0, then f(c) is
NAME: _
FORM A AP CALC BC
PERIOD: _
CHAPTER 3 TEST GCs PERMITTED
Free Response Section ROUND OFF USING THREE DECIMAL PLACES!
1.
Does everyone know that Mrs. Berkovich and Mrs. Cisnero were in Paris last week? They got an
excellent idea for an optimization