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Kitty [74]
3 years ago
14

Consider the area shown below. The top curve (in blue) is y=cuberoot(x) and the bottom curve (in red) is y=x^3, and we have used

the notation Dy for delta y.
Mathematics
1 answer:
stira [4]3 years ago
6 0
The top curve is
y = √x
The bottom curve is
y = x³

We are to find the area between the two curves, the limits are 0 and 1
A = ∫(x³ - √x)dy from 0 to 1
A = x⁴/4 - (1/2)/√x |from 0 to 1
A = 0.25 square units
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6 0
2 years ago
−1/2 (x+2) + 112x = 3<br><br> x=?
AysviL [449]

Given equation :−1/2 (x+2) + 112x = 3

We have -1/2 in front of parenthesis on left side .

It's better to remove fraction in an equation, in order make it easier to solve.

In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.

Multiplying each term in the equation by 2, we get

2* −1/2(x+2) +2* 112x = 2*3.

On simplifying this step, we get

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Distributing -1 over (x+2), we get

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Adding 2 on both sides, we get

223x -2+2 = 6+2

223x = 8

Dividing both sides by 223, we get

223x/223 = 8/223.

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