The area bounded by the curve ay = x² and the lines y = a and y = 4a is
<h3>How do you find the area bounded by a curve:</h3>
The area bounded by the curve can be determined by taking the integral of the curve such that:
From the given information:
Applying power rule
Taking the boundaries, we have:
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Answer with Step-by-step explanation:
We are given that
Compare with the equation of circle
Where center of circle=(h,k)
r=Radius of circle
a.Center of circle=(0,0)
Radius= units
Center of second circle=(3,3)
Radius of second circle= units
b.Distance formula:
Using the formula
The distance between the centers of two circle
=
Hence, the distance between the centers of two circle = units.
c.
Substitute x=-1 and -1
The circle must be tangent because there is just one point (-1,-1) is common in both circles and satisfied the equations of circle.
After Sally had given 1/9 of her stamps to Andy, she had 280 stamps (since they now have equal shares). So 280 was 8/9 of what she started with, making the 1/9 she handed over equal to 280/8, that’s 35. And Andy was “under” by the same amount she was “over” an equal share, that’s 35 under matching her 35 over, which is 70 altogether.
By all means use algebra but you may find you can reason a word problem through in words.
Steps:
subtract 3 from both sides:
2x²-5x+1 - 3 = 3 - 3
Simplify:
2x² - 5x - 2 = 0
Solve with the quadratic formula :
for a = 2 , b = - 5 , c = - 2
x₁ = - ( - 5 ) +√ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2 =
x₁ = 5 + √ 41 / 4
x₂ = - ( - 5 ) - √ ( -5 )² - 4 * 2 ( - 2 ) / 2 * 2
x₂ = 5 - √ 41 / 4