'Approximate area' presentation slideshows

NWS / SPoRT Coordination Call

NWS / SPoRT Coordination Call. August 19, 2010 Topics : LIS, SST Composite, Technical Issues. Summertime Convective Initiation Diagnosis using Data from the Land Information System. 19 Aug 2010 Jonathan Case and Robby James.

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APPLICATIONS OF INTEGRATION

6. APPLICATIONS OF INTEGRATION. APPLICATIONS OF INTEGRATION. In this chapter, we explore some of the applications of the definite integral by using it to compute areas between curves, volumes of solids, and the work done by a varying force.

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200

Data Analysis and Probability. Geometry and Spatial Sense. Measurement. Number Sense. Patterns, Functions and Algebra. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500.

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APPLICATIONS OF INTEGRATION

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Applications of Arc Length and Area of a Sector

Applications of Arc Length and Area of a Sector. Real world Examples.

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Finding the Area of a Circle

Finding the Area of a Circle . Take a circle . . . Divide it up into sectors. Colour the top semicircle green & the lower semicircle yellow. Pull the sectors apart. Arrange the green sectors in one line & the yellow sectors in another line. The sectors fit together like teeth . . .

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5.5 Numerical Integration

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6.4 Integration with tables and computer algebra systems 6.5 Approximate Integration

6.4 Integration with tables and computer algebra systems 6.5 Approximate Integration. Tables of Integrals. A table of 120 integrals, categorized by form, is provided on the References Pages at the back of the book. References to more extensive tables are given in the textbook.

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Be seated before the bell rings

Be seated before the bell rings. Be prepare : Have these things out. DESK. Warm-up (in your notes). Glue in learning targets. homework. HW: pg 47;4-6,9. All bags, purse, etc off desk. Class Room Rule and Procedures. Enter the classroom Enter quietly, go to your seat. Take off hat.

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Warm Up

Warm Up. Using your calculator, find the integral of. 6 .5 Trapezoid Rule. Goal: Estimate the integral using the trapezoidal rule. . Why is this useful?. Using integrals to find area works extremely well as long as we can find the antiderivative of the function.

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AP Calculus

AP Calculus. Area. Area of a Plane Region. Calculus was built around two problems Tangent line Area. Area. To approximate area, we use rectangles More rectangles means more accuracy. Area. Can over approximate with an upper sum Or under approximate with a lower sum. Area.

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We sometimes need an efficient method to estimate area when we can not find the antiderivative.

We sometimes need an efficient method to estimate area when we can not find the antiderivative. Actual area under curve:. Approximate area:. Left-hand rectangular approximation:. (too low). Approximate area:. Right-hand rectangular approximation:. (too high). Averaging the two:.

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Orchard Hideout

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Warmup:

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Trapezoidal Rule Revisited

Trapezoidal Rule Revisited. Using integrals to find area works extremely well as long as we can find the antiderivative of the function. Sometimes, the function is too complicated to find the antiderivative.

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Do Now

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Area

Area. Learning Goals. LG: Develop and apply a formula for determining the area of rectangles Kid Friendly: Be able to find the area of a rectangle What I think I know:. Definition. Area is the size of a surface. Example. Formula for area of Rectangle.

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Homework

Homework. A standard dartboard has a diameter of 18 in. What is its area to the nearest square inch? A culinary decorates an 8 in. diameter round cake. What is the approximate area of the top of the cake?. Homework.

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South East England GP pathfinder consortia December 2010

NHS South Central Calleva (Basingstoke) Number of practices: 19 Population size: 179,444 Bracknell Forest Number of practices: 13 Population size: 107,320 Buckinghamshire Number of practices: 60 Population size: 530,294. Oxfordshire Number of practices: 83 Population size: 672,000

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