3 years ago

Find 2 and 2/3 x 1 and 1/4

Mathematics

1 answer:

Alisiya [41]3 years ago

4 0

Your answer should be 3.33333333333 i think??

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1.64 as a fraction in simplest form

mrs_skeptik [129]

<span>The correct answer is 1 16/25.

Explanation<span>:
This is read as "one and sixty-four one-hundredths." This means the fraction would be 1 64/100.

Both numerator and denominator are even, so we will divide both by 2 and get 1 32/50.

Again, both are even, so we divide by 2 again and get 1 16/25.</span></span>

4 0

3 years ago

Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 5 + 2x2 + 2y2 and the plane z = 11 in

podryga [215]

Using cylindrical coordinates,

$\displaystyle\int_{x=0}^{x=\sqrt3}\int_{y=0}^{y=\sqrt{3-x^2}}\int_{z=5+2x^2+2y^2}^{z=11}\mathrm dz\,\mathrm dy\,\mathrm dx$
$\displaystyle=\int_{\theta=0}^{\theta=\pi/2}\int_{r=0}^{r=\sqrt3}\int_{z=5+2r^2}^{z=11}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\frac\pi2\int_{r=0}^{r=\sqrt3}r(11-(5+2r^2))\,\mathrm dr$
$=\displaystyle\pi\int_{r=0}^{r=\sqrt3}(3r-r^3)\,\mathrm dr$
$=\dfrac{9\pi}4$