MathematicsMediumHigh School (11–12)Functions and Calculus › Application of IntegralsA-LevelAEEE (Amrita)AMUEEEAPAP EAPCETBCECECOMEDK UGETCUET UGGUJCETIBJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETOJEESRMJEEETS EAPCETUPESEATVITEEE
Created by StemPy LabA flat metal plate in a workshop in Chennai is cut to the shape of the curve , where and are in centimetres. The workshop needs the area of the plate to cost the metal. What is the area of the plate, in square centimetres?
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← A circular pond in a park in Delhi has the equation x² + y² = 100, where lengths are in metres. A straight bridge along the x-axis divides the pond into two equal halves. What is the area of the upper half of the pond, in square metres?The figure shows the profile of a trench dug across a road. It follows the curve y = x² - 1 for -2 ≤ x ≤ 2, with x and y in metres. The road crew wants the total area between the profile and the line y = 0, counting the parts above and below the line as positive. What is this total area, in square metres? →
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