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GalinKa [24]
1 year ago
5

(5x-6) + (2x-6)add the polynomials

Mathematics
1 answer:
Thepotemich [5.8K]1 year ago
8 0

In this question, let's add those polynomials

(5x-6) + (2x-6)

5x -6 +2x -6 <em>Combine like terms</em>

<em>5x +2x -6-6</em>

7x -12

Since this is not an equation, no further step can be done.

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Find the volume of the solid by rotating the region bounded by y=x^3, y=8, and x=0 about the y axis.
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Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

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Step-by-step explanation:

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