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LO 6. Area [CORE]. I can use the divide and conquer' ' strategy to nd areas. Criteria for Success: I can 0 use the divide
LO 6. Area [CORE]. I can use the \"divide and conquer' ' strategy to nd areas. Criteria for Success: I can 0 use the divide and conquer method to slice a region vertically or horizontally, nd the area of a general slice, and setup the corresponding Riemann sum and denite integral I solve questions related to computing areas or average values of functions Questions: What is the area of the not shaded portion of the following square of sidelength 1 unit, given that one of the curved shapes has equation y = rs, and the other is its reection about the diagonal of the square? LO 9. Volume and Mass/Weight [CORE]. I can use the divide and conquer strategy to nd the volume, mass or weight of an object. Criteria for Success: I can 0 use the divide and conquer method to slice a shape, nd the volume or mass/weight of a general slice, and setup the corresponding Riemann sum and denite integral 0 solve questions related to computing volumes or mass/weight by slicing, including questions that require the use of similar gures, or the Pythagorean Theorem. 0 use the divide and conquer method to slice a shape of revolution, nd the volume of a general slice, and setup the corresponding Riemann sum and denite integral I: solve questions related to computing volumes by discs/washers or tubes/shells, including questions that require the use of similar gures, or the Pythagorean Theorem. Question: Suppose a pyramid of height 0.8 m and rectangular base of dimensions 0.4 m by 0.2 III has a density of material varying height-wise given by p@) = 3% kg/m3, where y is the height in meters. See https ://www.desmos. com/calculator/voomactqjg for a visual. What is the mass of the pyramid? Show work by lling out the information below. Setup but do not solve the answer involving a denite integral. Mass of slice: Riemann Sum: Sketch of slice: Denite Integral
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