Question

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

Answer 1

we have that

The trapezoidal approximation is equal to

`A=(1)/(2)\cdot\lbrack f(a)+f(b)\lbrack\cdot(b-a)`

where

a=0

b=10

f(a)=f(0)=0.05

f(b)=f(10)=0.043

substitute given values

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

therefore

the answer is 0.465 meters