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:
Determine the domain and range of a logarithmic function.
Determine the x-intercept and vertical asymptote of a logarithmic function.
Identify whether a logarithmic function is increasing or decreasing and give the interval.
Identify the features of a logarithmic function that make it an inverse of an exponential function.
Graph horizontal and vertical shifts of logarithmic functions.
Graph stretches and compressions of logarithmic functions.
Graph reflections of logarithmic function
Step-by-step explanation:
Slope is 3/4
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