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- Area and Perimeter of Complex Shapes
- Area of Shapes (Honors)
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- Surface Area and Volume (Advanced)
- Circles Introduction
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- Circles Practice Test
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- Polynomials: Factors, Roots & Theorems I
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- Polynomials: Factors, Roots, & Theorems III (Honors)
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- Algebra II/Trig Practice Exam
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- Intro to Derivatives
- Derivative Rules: Product/Quotient, Chain & Power
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- Chain Rule
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- Applications of derivatives
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- Sketching Graphs 1: 1st and 2nd derivatives
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- Position Velocity Speed Acceleration
- Implicit Differentiation
- Related Rates of Change
- Using Derivatives in Economics
- Intro to Integrals
- Antiderivatives and Integrals
- Fundamental Theorem of Calculus (Part 1)
- Trapezoid Rule
- Definite Integrals & Fundamental Theorem of Calculus (Part 2)
- Definite Integrals Concepts and Applications
- Definite Integrals and Area Between Curves
- Natural log and e
- Improper Integrals
- Volumes of Solids 1
- Volumes of Solids 2
- Arc Length
- Trig Substitutions
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- Using Integrals in Economics
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- TI nspire cx cas calculator tutorial 0
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- Gate C/Math Places around the Virtual World
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- Math Comics Archive (Fall 2011)
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Volumes of Solids from Revolution
Here are examples of finding volumes of solids from revolution (or rotation). Notes and practice test (with solutions) include determining and evaluating definite integrals.
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Download Free Complete Integrals, Area, Volume .pdf file
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Connections
Volume of solids and method of rings lesson from Paul's Online Math Notes
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Webcomic #165 - "Math Gallery" (11-21-14)
Works of Art (at Art's Institute)
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Information
- Definite Integrals
- Rotated Areas
- Rotation around the x-axis
- Revolved around the y-axis
- "Disc Method"
- Volume of cone from rotated line segment
- area cross sections
- square and semicircle cross sections
