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A REA B ETWEEN THE C URVES 4-D
If an area is bounded above by f(x) and below by g(x) at all points on the interval [a,b] then the area is given by
If an area is bounded on the right by f(y) and on the left by g(y) at all points on the interval [c,d] then the area is given by f(y) g(y)
1) Find the area of the region between the parabola Step one: set them equal To find bounds Step two: determine which is upper curve and which is lower curve Step three: set up integral
2) Find area of the region between
3) Find area bounded by
4) Find area of the region between
H OME W ORK Area between curves worksheet worksheet
Volumes – The Disk Method Lesson 7.2. Revolving a Function Consider a function f(x) on the interval [a, b] Now consider revolving that segment of curve.
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Integral calculus XII STANDARD MATHEMATICS. Evaluate: Adding (1) and (2) 2I = 3 I = 3/2.
5/16/2015 Perkins AP Calculus AB Day 5 Section 4.2.
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6.1 Area Between 2 Curves Wed March 18 Do Now Find the area under each curve in the interval [0,1] 1) 2)
APPLICATIONS OF INTEGRATION
MTH 252 Integral Calculus Chapter 7 – Applications of the Definite Integral Section 7.1 – Area Between Two Curves Copyright © 2006 by Ron Wallace, all.
Applications Of The Definite Integral The Area under the curve of a function The area between two curves.
7.1 Area of a Region Between Two Curves.
Drill Find the area between the x-axis and the graph of the function over the given interval: y = sinx over [0, π] y = 4x-x 3 over [0,3]
Area Between Two Curves
In this section, we will investigate the process for finding the area between two curves and also the length of a given curve.
Area Between Two Curves 7.1. Area Formula If f and g are continuous functions on the interval [a, b], and if f(x) > g(x) for all x in [a, b], then the.
Do Now: #10 on p.391 Cross section width: Cross section area: Volume:
APPLICATIONS OF INTEGRATION 6. A= Area between f and g Summary In general If.
David Loomis. is defined informally to be the signed area of the region in the xy-plane bounded by the graph of ƒ, the x- axis, and the vertical lines.
A REA A PPROXIMATION 4-B. Exact Area Use geometric shapes such as rectangles, circles, trapezoids, triangles etc… rectangle triangle parallelogram.
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