NavonA571116 NavonA571116
  • 25-10-2022
  • Mathematics
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Use the trapezoidal approximation to estimate he distance the turtle traveled from 0 to 10 seconds.

Use the trapezoidal approximation to estimate he distance the turtle traveled from 0 to 10 seconds class=

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DemetriusX205969 DemetriusX205969
  • 25-10-2022

we have that

The trapezoidal approximation is equal to

[tex]A=\frac{1}{2}\cdot\lbrack f(a)+f(b)\lbrack\cdot(b-a)[/tex]

where

a=0

b=10

f(a)=f(0)=0.05

f(b)=f(10)=0.043

substitute given values

[tex]\begin{gathered} A=\frac{1}{2}\cdot\lbrack0.05+0.043\lbrack\cdot(10-0) \\ A=0.465\text{ m} \end{gathered}[/tex]

therefore

the answer is 0.465 meters

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