'Area problem' presentation slideshows

Integrals

Integrals. Start with dx -- this means "a little bit of x" or " a little change in x " If we add up a whole bunch of little changes in x, we get the " total change of x " -- A tautology question: If you add up all the changes in x as x changes from 2 to 7, what do you get? A. 0

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Section 14.5 The Area Problem; The Integral

Section 14.5 The Area Problem; The Integral. How is it calculated - 2. Just like the area under a continuous curve can be approximated by a series of narrow rectangles, the volume of a solid of revolution can be approximated by a series of thin circular discs:.

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1.2 Finding Limits Graphically & Numerically

1.2 Finding Limits Graphically & Numerically. After this lesson, you should be able to:. Estimate a limit using a numerical or graphical approach Learn different ways of determining the existence of a limit. Calculus centers around 2 fundamental problems:.

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C.1.3b - Area & Definite Integrals: An Algebraic Perspective

C.1.3b - Area & Definite Integrals: An Algebraic Perspective. Calculus - Santowski. Fast Five. (1) 0.25[f(1) + f(1.25) + f(1.5) + f(1.75)] if f(x) = x 2 + x - 1 (2) Illustrate Q1 with a diagram, showing all relevant details. (A) Review.

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11.5 Formulas and Further Applications

11.5 Formulas and Further Applications. Objective 1 . Solve formulas for variables involving squares and square roots. Slide 11.5- 2. Solve for r . CLASSROOM EXAMPLE 1. Solving for Variables Involving Squares or Square Roots.

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TIPM3 Grades 2 and 3

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A Preview of Calculus

A Preview of Calculus. Lesson 2.1. What Do You Think?. What things could be considered the greatest achievements of the human mind?. It's the Greatest!. Consider that all these things emerged because of technological advances Those advances relied on CALCULUS !

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Chapter 6 INTEGRATION

Chapter 6 INTEGRATION. An overview of the area problem The indefinite integral Integration by substitution The definition of area as a limit; sigma notation The definite integral The fundamental theorem of calculus Evaluating definite integrals by substitution.

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The Area Problem

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warm up

warm up. 1.Find the derivative using the quotient rule. 2. Find the derivative using the chain rule. Lesson 15-3 The Area Under the Curve . Objective: To find areas under graphs of polynomial functions To find values of integrals of polynomial functions.

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11.2 Triangles and Parallelograms

11.2 Triangles and Parallelograms. M. 13cm. 6cm. 9cm. H. T. T100: The area of a parallelogram is equal to the product of the base and the height. A = bh. h. b. A. Find the area of MATH. Why is the Area = bh?. M. 13cm. 6cm. 9cm. H. T. A.

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11.1 Understanding Area

11.1 Understanding Area. Units of measure 1.Linear units: perimeter, circumference 2.Square units: area 3.Cubic units: volume. Definition: The area of a closed region is the number of square units of space within the boundary of the region. Area of a rectangle: A rect = bh

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1.1 Preview to calculus

1.1 Preview to calculus. Tangent line problem. Goal: find slope of tangent line at P Can approximate using secant line First, let Second, find slope of secant line between P and Q

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