?Determine whether the statement is true or false. If it is true
Chapter 10, Problem 3(choose chapter or problem)
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.
The length of the curve \(x=f(t), y=g(t), a \leqslant t \leqslant b\), is
\(\int_{a}^{b} \sqrt{\left[f^{\prime}(t)\right]^{2}+\left[g^{\prime}(t)\right]^{2}} d t\)
Equation Transcription:
⩽⩽
Text Transcription:
x=f(t), y=g(t), a leqslant t leqslant b
integral _a ^b sqrt[f prime (t)]^2 +g prime (t)]^2 dt
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