<span>x-intercept: 1/4
y-intercept:8</span>
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
Use the concept of Lagrange multipliers.
Correct option is E, like legends about other naval heroes, is
It does this by contrasting "this legend" with "legends about other naval heroes," so avoiding the mistake of the original. There is an unreasonable comparison in option (A). "This legend" is contrasted with "other naval heroes."
There is an agreement mistake in option (B). For the single subject "this legend," the plural verb "are" is used. There is an unreasonable comparison in option (C). "This legend" is contrasted with "other naval heroes." Choice (D) has an agreement mistake.
For the single subject "this legend," the plural verb "are" is used. Option E can be used to rewrite the sentence's highlighted portion. By contrasting "this legend" with "legends about other naval heroes," the inaccuracy is fixed. As a result, choice E is the right answer.
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