Q2. This question asks to find the arc length of a function (see Lecture 11). (i) Let f(z) = z + 4. Using the formula given in Lecture 11, calculate the arc length of the graph of ƒ(x) over the interval [0, 3). Draw a rough sketch of the graph, as we did in the lecture, showing the arc in question. %3D (ii) Let f(x) = t21. Using the formula given in Lecture 11, calculate the arc length of the graph of f() over the interval [0, 2]. Draw a rough sketch of the graph, as we did in the lecture, showing the arc in question. %3D

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A:

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A:

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A: We know that : x=r·cosθ and y=r·sinθ   Using that we get: r=8sec(θ)r=8cos(θ)r·cos(θ)=8x=8