3 years ago

Generate an equivalent expression using prime factorization for each number.

Mathematics

1 answer:

Mice21 [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Is ur answer !!

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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the s

Furkat [3]

Answer:

$\frac{16\pi}{3}$ .

Step-by-step explanation:

I graphed the region in the image below. The blue line is y=3, the purple line is x=1 and the green curve is y = $4x-x^{2}$ . The shaded region in blue is the region we are going to rotate.

Now, to find the volume v= $2\pi \int\limits^a_b {p(x)h(x)} \, dx$ where a=1, b=3 (left and right points of the region), p(x) is the distance from the rotation axis to the diferential Δx, we say p(x)=x and h(x) is the height of the region, in this case is h(x)= $4x-x^{2}-3$ . Then,