AppIntegday5notes

AppIntegday5notes - Applications of Integration Day 5 First...

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Calculus Applications of Integration Page 19 Applications of Integration Day 5 First idea: Draw y = x 2 on the axes below. Pick a point on the curve and label it: P (x, y). a) Draw the line y = –1 and find the distance d from the point P to the line b) Draw the line y = 4 and find the distance d from the point P to the line c) Draw the line x = –1 and find the distance d from the point P to the line d) Draw the line x = 3 and find the distance d from the point P to the line Second idea: Review area formulas Circle Semicircle Square Isosceles Right triangle Equilateral triangle
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Calculus Applications of Integration Page 20 Third idea: Consider the solids we have been working with up to this point. Suppose we sliced the solid and pulled out a cross section – what would it look like? Look at the volume formula – how could this formula be viewed in terms of the cross-sectional area Consider another type of solid. This solid is not formed by rotation of a region about a line. Considering a region as its base, then describing its cross-sectional
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AppIntegday5notes - Applications of Integration Day 5 First...

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