Quiz-02-TakeHome-Keys - Name Quiz 2 Keys 1 The shaded...

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Name: _______________________________ Quiz 2 – Keys 1. The shaded region as shown is enclosed by 3 functions: 2 0.5 15 7.5 0.1 y x y x y x = + = + = Find its area. This is a region where the boundary changes. And the change takes place at x = 5 . Taking a vertical element as shown and the area intergral is: 5 10 2 2 5 5 ( 7.5) 0.1 ( 0.5 15) 0.1 x x dx x x dx + + + Carrying out the above integration and the area is 93.75 square units 0.5 15 y x = + 7.5 y x = + 2 0.1 y x =
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