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Popular >

area 6x+y^2=16,x=y

Solution

area

6 x + y^{2} = 16, x = y

Solution

\frac{250}{9}

+1

Decimal Notation

27.77777 \dots

Solution steps

Isolate

y

for

6 x + y^{2} = 16 : y = 16 - 6 x, y = - 16 - 6 x

Isolate

y

for

x = y : y = x

f_{1} (x) = 16 - 6 x

f_{2} (x) = - 16 - 6 x

To find the intersection points solve

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

16 - 6 x = - 16 - 6 x : x = \frac{8}{3}

16 - 6 x = x : x = 2

- 16 - 6 x = x : x = - 8

= \int_{- 8}^{2} ∣ f_{2} (x) - f_{3} (x) ∣ d x + \int_{2}^{\frac{8}{3}} ∣ f_{1} (x) - f_{2} (x) ∣ d x

= \int_{- 8}^{2} - 16 - 6 x - x d x + \int_{2}^{\frac{8}{3}} 16 - 6 x - (- 16 - 6 x) d x

\int_{- 8}^{2} - 16 - 6 x - x d x = 26

\int_{2}^{\frac{8}{3}} 16 - 6 x - (- 16 - 6 x) d x = \frac{16}{9}

= 26 + \frac{16}{9}

Simplify

= \frac{250}{9}

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y^{^{'}} + 6 y = e^{- t} - 6

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Frequently Asked Questions (FAQ)

What is area 6x+y^2=16,x=y ?
The answer to area 6x+y^2=16,x=y is 250/9