What is the surface area produced by rotating $f (x) = \frac{sin x}{cos x}, x \in [0, \frac{π}{4}]$ $f(x)=sinx/cosx, x in [0,pi/4]$ around the x-axis?

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What is the surface area produced by rotating $f (x) = \frac{sin x}{cos x}, x \in [0, \frac{π}{4}]$ $f(x)=sinx/cosx, x in [0,pi/4]$ around the x-axis?

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Answer 1 · 2016-03-05T03:50:53

Curved-surface cone , with vertex at the origin and base unit circle generated by the rotation of the terminal point of the curve $(\frac{π}{4}, 1)$ $(pi/4, 1)$ about the axis y = 0.

Explanation:

In nature, similar vertical pyramids are created by lava, from volcanic eruptions.

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What is the surface area produced by rotating $f (x) = \frac{sin x}{cos x}, x \in [0, \frac{π}{4}]$ $f(x)=sinx/cosx, x in [0,pi/4]$ around the x-axis?

1 Answer

Explanation:

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What is the surface area produced by rotating f(x)=sinxcosx,x∈[0,π4]f(x)=sinx/cosx, x in [0,pi/4] around the x-axis?

1 Answer

Explanation:

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Impact of this question

What is the surface area produced by rotating $f (x) = \frac{sin x}{cos x}, x \in [0, \frac{π}{4}]$ $f(x)=sinx/cosx, x in [0,pi/4]$ around the x-axis?