Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like. y = 2/3(x^2 + 1)^3/2 from x = 3 to x = 6 The length of the curve is. (Type an exact answer, using radicals as needed.)
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Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like. y = 2/3(x^2 + 1)^3/2 from x = 3 to x = 6 The length of the curve is. (Type an exact answer, using radicals as needed.)
![Find the volume of the following solids. The base of a solid is the region between the curve y = 16√ sin x and the interval [0, π] on the x-axis. The cross-sections perpendicular to the x-axis are a. equilateral triangles with bases running from the x-axis to the curve as shown in the figure. b. squares with bases running from the x-axis to the curve. a. V = (Type an exact answer, using radicals as needed.) b. V = (Type an exact answer, using radicals as needed.)](https://www.doubtrix.com/uploads/editor/3268589943ZcemjHPeEL.png)