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. (3/2)y = 27(9x^2 + 6) from x = 3 to x = 6 The length of the curve is (Type an exact answer, using radicals as needed:)
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The given function is: $$\frac{3}{2}y = 27(9x^2 + 6)$$ To find y as a function of x, we can divide both sides by $\frac{3}{2}$: $$y = 18(9x^2 + 6)$$ Now, we can find the derivative of y with respect to x: $$\frac{dy}{dx} = 18(18x)$$ Show more…
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