Construct a line that goes through points and . Label the line g.
1 answer:
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Answer:
Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit of measurement)
Step-by-step explanation:
The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)
So , let's solve the integral of f(x)
Area =+C
C=0
So if we evaluate this function in the given segment:
Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2
Goos luck!
OK.
Let g(x) = ax²
We have the point (3, 1).
Substitute x = 3 and g(x) = 1:
1 = a(3²)
9a = 1 |divide both sides by 9
a = 1/9
Therefore your answer is