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ankoles [38]
3 years ago
13

1) 19x + 6 21x - 6 A) 6 B) 8 C) 7

Mathematics
1 answer:
crimeas [40]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

they are parallel so they are equal so

19x + 6 = 21x - 6

19x +12 = 21x

12 = 2x

x = 6

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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,

v =  2\pi \int\limits^1_3 {x(4x-x^{2}-3)} \, dx

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8 0
3 years ago
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