Download ap calculus b 2010 assignments

AP CALCULUS B Spring 2010
April 26, 1010
U-Substitution pg 338 53 - 66
April 13, 2010
#17 Calculus Review
2007 A #1
Read article on How To Survive AP Exam
Copy and Answer Review Quesions
April 9, 2010
Optimization Problems
April 8, 2010
2006 A #6 2006 B 3,5,&6
April 6, 2010
2009 B 1,2,3
April 5, 2010
2009 4,5,6
March 24,2010
March 22, 2010
#16 Displacement & Area
I. D&S Exam 1 M. C
II. Section 7.1 1 - 16
March 19
#15 Differential Equations
I. AP 2006 #2
March 9, 2010
#14 Graphs and Derivatives Worksheet
March 8, 2010
#13 Review
I. Practice Test: Find the volume of the solid when the region
bounded by y = x3 , x = 2 and the x-axis is revolved around
1. y = 0
2. y = 12
3. x = 0
4. x = 2
5. x = 4
II. Slope fields Matching
III.AP Exam 2006 # 6
IV. Chapter 7 Review 2-26 Even
March 4, 2010
#12 Integration Patterns
I. AP Exam 2006 # 3
II. Matching Slope fields
III. Integration Patterns Barron’s
IV. Chapter 7 Review 1-25 odd
March 3, 2010
#11 Slope Fields and Fund. Th of Calc Review
I. AP Exam 2006 #4
II. Slope field worksheet 2
III. 5.4 2 – 48 E
March 1, 2010
#10 Slope Fields
I. Warm-Up Slope Fields Introduction Sheet
II. Worksheet 1 on Slope Fields
III. 5.4 Fundamental Th or Calc pg 302: QR 1-10. 1-49 odd
February 26, 2010
#9 Fundamental Theorem of Calculus Part 1!!!!!!!!!
I. WS 4.4: 47,51-57 odd
II. FTOC P1
III. WS 4.3 2 – 48 even
February 24, 2010
#8 The Area So Far
I.Warm-Up Discovery Project
II. AP Exam 2006 Question 1
IV. Larson 4.3 Worksheet 1-47 odd
February 23, 2010
#7 Area & Volume Review
I.Warm-Up AP Exam 2007 Question 1
II. Area: Princeton Review pg 200 2 – 10 Even
III. Volume: Princeton Review pg 218 1,3,5,11
IV. WS 4.4 2-46 E
February 19, 2010
#6 Area & Volume Review
I.
Mean Value Theorem for Integrals WS 4.4: 36, 38,40, 42
II. Volumes of Solids of Revolution WS(6.2) 7,13,15,17
III. AP Exam 2007 B Question 1
IV. 4.4 worksheet 1 – 45 odd
February 18, 2010
#5Volumes of Solids of Revolution: Washer Method
I. Warm-Up: 12 minutes
(
)
1. 4 – x2/2 2 =
2. Graph and find the pts of intersection of
a. y = x + 6 and y = 6 – 2x – x2
b. y = x2 and y = √x
3. Find the volume of a 6 in tire whose outer radius is 15 in
and inner radius is 10 in.
II. Volume by Washer Method. The washer method is
used when the axis of rotation is not a boundary of the
revolved region.
V = П ∫(R2 – r2) dx or V = П ∫(R2 – r2) dy
Where R is the outer radius and r is the inner radius.
Larson 6.2 Worksheet 7, 8, 14, 16
III. Larson 4.2 WS 2-48 Even
February 12010
#4 Properties of Definite Integrals
I. AP Exam 2007 Form B Question 4
II. Volume by Disk Method 1-6,8,9-12
III. Larsen 4.2 WS 1 – 47 odd
February 12, 2010
#3 Volumes of Solids of Revolution: Disk Method
I. Volume by Disk Method:
Used when the Axis or Rotation is a Boundary of the region.
Graph the regions in 1 and 2 below
Bh = Πr2dx or Πr2dy
1.y = x2 , y = 0, x = 4 Vol of region revolved around x -axis
2. y = x2 , x = 0, y = 9 Vol of region revolved around y-axis
3. y = 2x + 4, y = 0, x = 2 Reg revolved around x – axis
4. y = 2x + 4, x = 0, y = 8 Reg revolved around y-axis
5. y= -x2 + 8, y = 4 revolved around y = 4
III. Definite Integral Practice 2 – 30 Even, 31-38
February 10, 2010
#2 Definite Integrals
I.
AP Exam 2007 From B Question 2
II. Warm-Up: Find the volume of a solid whose base is
bounded by y = x2, y = -1, x = 0, and x = 3 with the
indicated cross sections │ to the x-axis
a. squares b. equilateral triangles c. semicircles
III. Finding Definite Integrals Signed Areas pg. 279 Exp 1
IV. Definite Integral Practice WS Q1-Q10 & 1 – 29 odd
February 9, 2010
#1 Volume of Solids: Known Cross-sections
I. AP EXAM 2007 #6
II. Warm-Up:
1. On the same coordinate plane, graph
f(x) = 1 – x , g(x) = - 1 + x
2
2
2. Find the points of intersection of f(x) and g(x) analytically.
3.Find the volume of the solid bounded by f, g and the y-axis with the
indicated cross-sections perpendicular to the x-axis.
a. squares, b. rectangles with h = 2b c. equilateral triangles
d. semi-circles, e. iso rt. Δ. hyp on base, f. iso. rt. Δ. leg on base
III. Indefinite Integral Review Wk Sh 1(Foerster) 1-25
IV.Find the volume of the solid bounded by y = x2 , x = 4, y = 0.
a. squares, b. rectangles with h = 2b c. equilateral triangles
d. semi-circles, e. iso rt. Δ. hyp on base, f. iso. rt. Δ. leg on base
February 5, 2010
I. Warm-Up
1. Describe a Riemann Sum and what it is used for.
2. Write the formulas for:
Area: Circle, Right Triangle, Equilateral Triangle, Square,
Rectangle
Volume: Rectangular Solid, Cylinder, Cone, Pyramid