Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. 1. y=1/x, y=0,x=1,x=4;about the x-axis 2. y=6-x^2, y=2; about the x-axis

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answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm

answer: c. is your answer

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