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Setler79 [48]
3 years ago
10

Generate an equivalent expression using prime factorization for each number.

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Is ur answer !!

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Factor out 12t to get 12t(9t-5)
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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

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

= 2\pi (\frac{4x^{3}}{3}-\frac{x^{4}}{4}-\frac{3x^{2}}{2})^{3}_1

= 2\pi (36-\frac{81}{4}-\frac{27}{2}-\frac{4}{3}+\frac{1}{4}+\frac{3}{2})

= 2\pi*\frac{8}{3}

=  \frac{16\pi}{3}.

8 0
3 years ago
What is the length of DE in the right triangle below ?
olganol [36]
B.25
sorry if my writing is not clear 

3 0
3 years ago
Read 2 more answers
The question is in the picture​
Genrish500 [490]

Answer:

5/13 is your answer.....

3 0
3 years ago
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