Please find out the answer and I will mark your answer as the brain test with a five-star rating and a thank you. But only if th
e answer will be proper and neat...
2 answers:
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To solve this problem, the first thing we have to do is regroup the terms so that we can then subtract, simplify, subtract, and finally simplify again.
But first we must know.
<h3>¿What are the equations?</h3>Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.
<h3>We solve the problem:</h3>- 8n - 7 = -12 + 3n
- 8n - 7 = 3n - 12
- 8n - 7 - 3n = -12
- 5n - 7 = -12
- 5n = -12 + 7
- 5n = -5
- N = -1
Now we must check our results.
8n -7 = -12 + 3n
8 × - 1 - 7 = -12 + 3 × - 1
- 8 - 7 = - 12 - 3
- 15 = - 12 - 3
- 15 = - 15
So, our results are correct, the answer is n = - 1
¡Hope this helped!
Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
