Chapter 7
L'Hopital, Parametrics and Polars
Embedded Files
Chapter 7 Video # 2(Watch and Learn) Calculus 6.08g-An Intuitive Proof of l'Hospital Rule
Chapter 7 Video # 3: L'Hopital's Rule Part 1(8:25)
Chapter 7 Video # 4: L'Hopital's Rule Part 2(8:24)
Chapter 7 Homework # 1: Page 537-539; # 7(use two methods: L'H and algebra), 15, 19, 21, 31, 33, 45(ignore directions, just find limit)
BC ONLY BC ONLY BC ONLY BC ONLY BC ONLY BC ONLY
"Math class is tough" said Barbie
Chapter 7 Video # 5: Partial fraction expansion to evaluate integral(8:51)
Chapter 7 Video # 6: Indefinite Integral:(sin (x))^2-Power Reducing Substitution(4:09)
Chapter 7 Homework # 2 Worksheet
Chapter 7 Video # 7: Introduction to Improper Integrals(3:51)
Chapter 7 Video # 8: Improper integral infinity both bounds(3:59)
Chapter 7 Video # 9: Ex 1: Improper Integral - Infinite Interval(-inf, inf) (4:36)
Chapter 7 Video # 10: Divergent improper integral(2:41)
Chapter 7 Video # 11: (Watch and Learn) Why infinity minus infinity is indeterminate(2:00)
Chapter 7 Video # 12: (Watch and Learn) The Paradox of Gabriel's Horn(4:02)
Chapter 7 Homework # 3 Worksheet
Chapter 7 Video # 13: Ex: Integration by Parts-Basic Example(3:14)
Chapter 7 Video # 14: Ex 3: Integration by Parts(ln(mx))(3:13)
Chapter 7 Video # 15: Ex 6: Integration by Parts Twice(x^2e^x)(4:00)
Chapter 7 Video # 16: Integration by Parts Twice and Solving(e^(nx)*sin(mx))(6:24)
Chapter 7 Video # 17: Integration by Parts Tabular Method Example 1(4:39)
Chapter 7 Video # 18; (Stop at 1:30) Video 1935 - Integrate ln(sinx) - Practice(7:41)
Chapter 7 Homework # 4 Worksheet
Chapter 7 Homework # 5 Quiz Review # 1 Worksheet
Quiz # 1 No Calculator
Chapter 7 Video # 19: (Watch and Learn) Non rigorous justification for arc length formula(6:20)
Chapter 7 Video # 20: Arc Length-Part 1 of 2 (7:07)
Geogebra: Arc Length Exploration
Chapter 7 Homework # 6: Page 447; # 3, 9
Chapter 7 Video # 21: (Watch and Learn)Introduction to Polar Axis(4:59)
Chapter 7 Video # 22: Matching Polar Coordinates(3:53)
Chapter 7 Video # 23: Graphing Polar Coordinates(7:13)
Chapter 7 Video # 24: Coterminal Polar Coordinates(3:00)
Chapter 7 Homework # 7 Worksheet
Chapter 7 Video # 25: (Watch and Learn)Basics of Polar to Rectangular Points(3:05)
Chapter 7 Video # 26: Polar to Rectangular Points(6:27)
Chapter 7 Video # 27: Rectangular Points to Polar(7:49)
Chapter 7 Homework # 8 Worksheet
Chapter 7 Video # 28: Rectangular Equations to Polar(5:24)
Chapter 7 Homework # 9 Worksheet
Chapter 7 Video # 30: Polar Equations to Rectangular Part I(8:17)
Chapter 7 Video # 31: Polar Equations to Rectangular Part II(5:03)
Chapter 7 Homework # 10 Worksheet
Chapter 7 Video # 33: (Watch and Learn)Basic Polar Graphing(13:42)
Chapter 7 Video # 34: (Watch and Learn) Polar Symmetry(7:48)
Geogebra: Polar Grapher(Tracer)
Geogebra: Rectangular Polar Graphs
Chapter 7 Video # 35: Cardioid(8:38)
Chapter 7 Video # 36: (Watch and Learn) Graphing Polars on TI-84(3:13)
Chapter 7 Homework # 11 Worksheet
Chapter 7 Video # 37: Limacon with Inner Loop(9:27)
Chapter 7 Video #38: Polar Curves: Limacons, Dimple or no Dimple(4:33)
Chapter 7 Video # 39: How to Graph Limacons(6:39)
Chapter 7 Homework # 12 Worksheet
Chapter 7 Video # 40: Leminscate (8:13)
Chapter 7 Video # 41: Polar Graphs-The Spiral: Exam Solutions Maths Revision(6:10)
Chapter 7 Homework # 13 Worksheet
Chapter 7 Video # 42: Graphing Polar Roses(9:23)
Chapter 7 Video # 43: Polar Graphing 2-Rose Curve(Cosine)
Chapter 7 Homework # 14 Worksheet
Chapter 7 Video # 44: Intersection of Polar Curves Example 1(1:53)
Chapter 7 Video # 45: Intersection of Polar Curves Example 2(2:56)
Chapter 7 Video # 46: Intersection of Polar Curves Example 3(1:40)
Chapter 7 Video # 47: Intersection of Polar Curves Example 4(2:43)
Chapter 7 Homework # 15 Worksheet
Chapter 7 Homework # 16 Worksheet
Chapter 7 Homework # 17 Quiz Review # 2
Chapter 7 Quiz # 2
Integration Practice Video # 1
Integration Practice Video # 2
Integration Practice Quiz
Chapter 7 Video # 48: The Slope of Tangent Lines to Polar Curves(8:51)
Chapter 7 Video # 49: Horizontal and Vertical Tangent Lines to Polar Curves(10:59)
Chapter 7 Video # 50: polar functions tangents at the pole(6:07)
Chapter 7 Homework # 18 Page 692-693; # 59, 73, 95-98
Chapter 7 Video # 51:(Watch and Learn) Area enclosed by polar graph formula intuition(6:30)
Chapter 7 Video # 52: Area Using Polar Coordinates-Part 2(7:03)
Chapter 7 Video # 53: Area Using Polar Coordinates-Part 3(8:37)
Chapter 7 Homework # 19 Page 700; # 1, 3, 7
Chapter 7 Video # 54: Area Bounded by Two Polar Curves-Part 1(8:09)
Chapter 7 Video # 55: Area Bounded by Two Polar Curves-Part 2(7:52)
Chapter 7 Video # 56: Graphing and Finding the area between a rose petal and a circle(10:17)
Chapter 7 Homework # 20 Page 700-701; # 27, 29, 31
Chapter 7 Video # 57: (Watch and Learn) Justification for polar arc length formula(11:44)
Chapter 7 Video # 58: Arc Length of a Polar Curve(7:37)
Chapter 7 Homework # 21 Page 701; # 43(no calculator, use pi/2 to 3pi/2 for the bounds... ask me in class), 46*(no calculator), 48*(no calculator)
43: answer: 8
46: answer: rad(3)
48: answer: rad(2)(e^pi -1)
Chapter 7 Video # 59: The Derivative of Parametric Equations(10:03)
Chapter 7 Video # 60: The Second Derivative of Parametric Equations Part 1 of 2(9:58)
Chapter 7 Video # 62: Arc Length Using Parametric Equations(8:27)
Chapter 7 Homework # 22 Page 681; 12(rad(2) and -1), 19(no need to verify with calculator), 26(-.5, -2.25), 36(use [0,1] ans:(1/54)[37rad(37) - 1]
Chapter 7 Video # 63: z.1-Vector Calculus(particle in motion)(12:44)
Chapter 7 Homework # 23 Worksheet
Chapter 7 Video # 64: velocity, acceleration, and speed, given position(KristaKingMath(4:54)
Chapter 7 Homework #24 Worksheet
Chapter 7 Homework # 25 Quiz # 3 Review Worksheet
Chapter 7 Quiz # 3
AP Calculus Chapter 7 Notes Answers 2018.pdfAP Calculus Chapter 7 Notes Answers 2018 part 2.pdfAP Calculus Chapter 7 Notes.pdfAP Calculus Chapter 7 Homework.pdfAP Calculus Chapter 7 Quiz Review Solutions Part 1.pdfAP Calculus Chapter 7 Quiz Review Solutions Part 2.pdfGoogle Sites
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