Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A = 
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹ ( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹ ( x² + x⁴ - 2x³ ) dx
= 
+ 
- 
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= [ 
+ 
- 
]
= [ 
]
V =
Therefore, the volume of the solid is
Answer:
In zone A and zone E.
Step-by-step explanation:
See the attached graph to this question.
The graph clearly shows that the function is increasing in the portion which is denoted by A and E.
In the A zone, the graph moves from minima towards local maxima and in the E zone, the graph moves from a local minima towards maxima.
In both the zones, the value of f(x) increases as the value of x increases. Therefore, the function is increasing in A and E zone. (Answer)
Answer:
This is a linear function because the power of x is 1. Because of the +40 it's not a proportional relationship (they are in the form y = kx but the given equation is not) so the answer is the second option.
Answer:
-396, -430, -452, -502
Step-by-step explanation:
In negatives, the lowest number is the highest number. -502 has the number "502" in it, which means it's the lowest. -396 has the number "396" in it, which means it's the greatest. Therefore, the answer is -396, -430, -452, -502.
Garden eel, Great white shark, Sea urchin, Sea turtle.
