!!! 25 POINTS HELP PLS
1 answer:
Answer:
Option (3)
Step-by-step explanation:
Given functions are,
f(x) =
g(x) = log(2x)
By using a graphing utility we can draw the graphs of the given system of equations.
Common points of the graph will be the solutions of the equations,
From the graph attached,
Solution of the functions is → (0.937, 0.273)
→ (0.9, 0.3)
Option (3) will be the answer.
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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
=
+
-
= [
+
-
]
= [
]
V =
Therefore, the volume of the solid is