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Popular Calculus >

area x=y^2,x=4y-y^2

Solution

area

x = y^{2}, x = 4 y - y^{2}

Solution

No Solution

Solution steps

Isolate

y

for

x = y^{2} : y = x, y = - x

Isolate

y

for

x = 4 y - y^{2} : y = 2 - - x + 4, y = - x + 4 + 2

f_{1} (x) = x

f_{2} (x) = - x

To find the intersection points solve

f_{i} (x) = f_{j} (x)

x = - x : x = 0

x = 2 - - x + 4 : x = 4, x = 0

x = - x + 4 + 2 : x = 4

- x = 2 - - x + 4 : x = 0

- x = - x + 4 + 2 :

No Solution for

x \in R

2 - - x + 4 = - x + 4 + 2 : x = 4

Curves not bounded

= No Solution

Graph

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Frequently Asked Questions (FAQ)

What is area x=y^2,x=4y-y^2 ?
The answer to area x=y^2,x=4y-y^2 is No Solution