Length of Curves and Surface Area

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Presentation transcript:

Length of Curves and Surface Area Section 7.4

Length of Curves Find the length of the curve 𝑦= 𝑥 2 from −1≤𝑥≤2.

Length of Curves Find the length of the curve over the indicated interval: 𝑦= ln ( cos 𝑥) , 0, 𝜋 3

Length of Curves Find the length of the curve over the indicated interval. 𝑥= 1 3 𝑦 𝑦−3 , 1≤𝑦≤4.

Surface Area Find the surface area of the frustum:

Surface Area Find the area of the surface formed by revolving the graph of 𝑓 𝑥 = 𝑥 3 on the interval x = 0, 1 about the x-axis.

Surface Area Find the area of the surface formed by revolving the graph of 𝑓 𝑥 = 𝑥 2 on the interval 0≤𝑥≤ 2 about the y-axis.

Surface Area Find the surface area of the surface generated by revolving the curve about the x-axis: 𝑦=2 𝑥 from 4≤𝑥≤9