such that
![y=\dfrac1{x^3}\implies x=\dfrac1{\sqrt[3]y}](/tpl/images/0495/9809/20b1b.png)
such that![\displaystyle\int_0^{1/8}\mathrm dy+\int_{1/8}^b\frac{\mathrm dy}{\sqrt[3]y}=\int_b^1\frac{\mathrm dy}{\sqrt[3]y}](/tpl/images/0495/9809/f65cc.png)
Sketch the region r defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x^3 .
a. find (exactly) the number a su...
Mathematics, 03.02.2020 09:44 mildredelizam
Sketch the region r defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x^3 .
a. find (exactly) the number a such that the line x = a divides r into two parts of equal area.
b. then find (to 3 decimal places) the number b such that the line y = b divides r into two parts of equal area.
Answers: 2
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