The area enclosed by the given 2 curves is; 8/3 or 2.67
<h3>How to Solve Integration with Limits?</h3>
We want to find the area enclosed by the curves;
y = x² - 2x
y = -x² + 2x
The point of intersection of the parabola and the line is given by;
x² - 2x = -x² + 2x
2x² - 4x = 0
Solving this gives;
x = 0, 2
Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;
A = ∫₀² (-x² + 2x - x² + 2x)
A = ∫₀² (-2x² + 4x)
Using online integration calculator here gives;
A = 2.67
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Answer:
$284.80
Step-by-step explanation:
You multiply how long she worked, 32 hours, by the amount of money she makes per hour, $8.90, to get a total of $248.80.
Answer:
The circumference is 24.69 in.
The area is 48.52 in.
Step-by-step explanation:
- Circumference rule => Cf=2πr
So, Cf=2π(3.93)=24.69in
So, A=π(3.93)^2=48.52in
Answer:
y = 7x +2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2 ) and (x₂, y₂ ) = (- 1, - 5 )
m =
=
= 7
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = 7x + 2 ← equation of line
Answer:
Step-by-step explanation:
42+(1/3)
42*(3/3)+(1/3)
(126/3) + 1/3
126/3 + 1/3 = 127/3 miles
4/3 hours
(127/3)/4/3)
(127/3)*(3/4)
= 127/4 or 31.75 miles/hour
It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).