HELP PLEASE!! a swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, wher

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HELP PLEASE!!
a swimmer takes a running jump off a pier. The path of the swimmer can be modeled by the equation h=-0.1d^2+0.1d+3, where H is the height in feet and d is the horizontal distance in feet. How far from the pier does the swimmer enters the water?

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Ngọc Diệp 5 years 2021-07-19T08:02:22+00:00 1 Answers 51 views 1

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  1. trungdung22
    0
    2021-07-19T08:04:14+00:00
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    Answer: 5 ft

    Step-by-step explanation:

    Given

    The path of the swimmer is given by

    h=-0.1d^2+0.1d+3

    The swimmer can go horizontally depends upon the depth

    So, find the maximum depth by taking derivative w.r.t height

    h'=-0.2d+0.1

    Put derivative equal to 0

    \Rightarrow -0.2d+1=0\\\\\Rightarrow d=\dfrac{1}{0.2}\\\\\Rightarrow d=5\ ft

    thus, the swimmer can go up to a distance of 5 ft.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )