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liubo4ka [24]
3 years ago
6

Find the coordinates of k

Mathematics
1 answer:
marin [14]3 years ago
4 0
If you plot the coordinates on a piece of graph paper your answer would come out too (1,-8)
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find the volume of a solid that is generated by rotating around the indicated axis the plane region bounded by the giveb curves:
Fofino [41]
Assuming the area below the line y=0 (i.e. x>1) does NOT count, the area to be rotated is shown in the graph attached.

A. Again, using Pappus's theorem,
Area, A = (2/3)*1*(1-(-1))=4/3  (2/3 of the enclosing rectangle, or you can integrate)
Distance of centroid from axis of rotation, R = (2-0) = 2
Volume = 2 π RA = 2 π 2 * 4/3 = 16 π / 3 (approximately = 16.76 units)

B. By integration, using the washer method
Volume = 2\pi\int_{-1}^1(1-x^2)(2-x)dx
=2\pi\int_{-1}^1(x^3-2x^2-x+2)dx
=2\pi[x^4/4-2x^3/3-x^2/2+2x]_{-1}^{1}
=2\pi([1/4-2/3-1/2+2]-[1/4+2/3-1/2-2])
=2\pi(8/3)
= 16 π /3   as before



3 0
3 years ago
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
Marat540 [252]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
You want to rent movies online. The new service charges a sign up fee of
Nezavi [6.7K]

y = 12x + 10

Assuming that your question is multiple choice, the variables might be different.

The reason that it's represented as 12x + 10 is because there is a flat fee of $10 when you sign up. From then on afterward, every month you pay $12.

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4. The 3d figure described in step 3 is a pyramid. 

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4 years ago
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What's the distance between the points (–9,2) and (–4,2)?
algol [13]

If you are asking for the slope it is a zero slope because...

2-2 equals 0 and you don't need to solve the bottom because the top is a zero

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btw- I guarantee I am right because i am a Indian. My wisdom comes from God. Jesus Christ!!!!:):):)


7 0
4 years ago
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