What is area x=y 1/3 ,x=0,y=64 ?

The answer to area x=y 1/3 ,x=0,y=64 is 2048/3

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area x=y 1/3 ,x=0,y=64

area

x = y \frac{1}{3}, x = 0, y = 64

\frac{2048}{3}

Decimal Notation

682.66666 \dots

Solution steps

Isolate

y

for

x = y \frac{1}{3} : y = 3 x

Apply the area formula:

\int_{0}^{\frac{64}{3}} ∣ 3 x - 64 ∣ d x

Solve

\int_{0}^{\frac{64}{3}} ∣ 3 x - 64 ∣ d x : \frac{2048}{3}

The area is:

= \frac{2048}{3}

(y^{2} + y x) d x + x^{2} d y = 0

\frac{4 x ^{5}}{e ^{3 x}}

x \to 0 - lim (\frac{e ^{x}}{1 - e ^{x}})

f (x) = e^{- x} x - 2 e^{- x}

\frac{\partial}{\partial x} (cos (8 x y))