Area Between Curves

AP Calculus AB· difficulty 2/5

A triangular region between y=2xy = 2x (left) and y=2x+8y = -2x + 8 (right) and the xx-axis. The vertices are (0,0),(4,0),(2,4)(0,0), (4,0), (2, 4). Area is

  • A

    1616

  • B

    44

  • C

    66

  • D

    88

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Explanation

Triangle: 12(4)(4)=8\tfrac{1}{2}(4)(4) = 8.

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