What is laplacetransform 80t^2 ?

The answer to laplacetransform 80t^2 is (160)/(s^3)

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laplacetransform 80t^2

laplace transform

80 t^{2}

\frac{160}{s ^{3}}

Solution steps

L {80 t^{2}}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 80 L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= 80 \cdot \frac{2}{s ^{3}}

Refine

80 \frac{2}{s ^{3}} : \frac{160}{s ^{3}}

= \frac{160}{s ^{3}}

f (x) = x^{2} (1 - x)^{2}, at x = 2

x \to 0 lim (\frac{( x - 1 ) ^{2} + 1}{x})

\frac{( s + 1 ) ^{2}}{( s - 1 ) ^{3}}

\frac{\partial}{\partial x} (2 x^{2} y - 3)

\int x^{2} lo g_{10} (x) d x

What is laplacetransform 80t^2 ?
The answer to laplacetransform 80t^2 is (160)/(s^3)