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GalinKa [24]
3 years ago
14

5. Determine the 2d shape that would be created if the 3d shape were sliced as shown.

Mathematics
1 answer:
geniusboy [140]3 years ago
3 0
Sorry love i’m so sure but harry might know....?
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Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
Irina18 [472]

For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has

• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5

• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

4 0
2 years ago
Product of (y^3 - 125) ÷ (y - 5)
Ludmilka [50]

Answer:

y^{2}+5y+25

Step-by-step explanation:

8 0
3 years ago
If the measure of is 232°, what is the measure of ∡DEF?.
riadik2000 [5.3K]

To answer this specific problem, the measure of ∡DEF is 64. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

3 0
3 years ago
The experimental probability that Pedro will hit a hole in one at the golf course is 2/5. If Pedro goes golfing 40 times in a ye
Sati [7]
I'm pretty sure you would need to multiply 2/5 by 40.

So, if you multiply 2/5 by 40, you need to turn 40 into a fraction with 1 being the denominator.

2/5 x 40/1 = 80/5

Since the product is an improper fraction, you would simplify it to a whole number.

80/5 = 16. 

He can expect to hit it 16 times to get a hole in one.

I hope I am right and have a great day.

6 0
3 years ago
Read 2 more answers
Can you help me out with this question 5 pls
Maslowich
Gives an output of 1 I think
3 0
3 years ago
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