Questions: On the graph of f(x) = sin x and the interval [2 pi, 4 pi), for what value of x does f(x) achieve a maximum? Choose your answer using the draggable point on the graph below.

On the graph of f(x) = sin x and the interval [2 pi, 4 pi), for what value of x does f(x) achieve a maximum? Choose your answer using the draggable point on the graph below.

Transcript text: On the graph of $f(x)=\sin x$ and the interval $[2 \pi, 4 \pi)$, for what value of $x$ does $f(x)$ achieve a maximum? Choose your answer using the draggable point on the graph below.

Solution

Solution Steps

Step 1: Find the maximum value of f(x) within the given interval

The graph shows that the sine function reaches a maximum value of 1 at x = 5π/2 within the interval [2π, 4π).

Step 2: Convert the interval endpoints to numerical values

2π ≈ 6.28 4π ≈ 12.57

Step 3: Convert 5π/2 to a numerical value

5π/2 ≈ 7.85

Final Answer: The value of x where f(x) achieves its maximum is 5π/2.

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Questions: On the graph of f(x) = sin x and the interval [2 pi, 4 pi), for what value of x does f(x) achieve a maximum? Choose your answer using the draggable point on the graph below.

Solution

Solution Steps

Final Answer: The value of x where f(x) achieves its maximum is 5π/2.

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