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3 years ago

5

12/18 In simplest form

2 answers:

FromTheMoon [43]3 years ago

7 0

2/3 is the simplest form

AleksandrR [38]3 years ago

4 0

Answer:

Find the gcf, greatest common factor, of 12 and 18 and solve

Step-by-step explanation:

12: 1, 2, 3, 4, 6, 12

18: 1, 2, 3, 6, 9, 18

The gcf is 6, so divide the numerator and denominator by 6.

12 / 6 = 2

18 / 6 = 3

Therefore, 12/18, when relatively prime, is 2/3

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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

6 0

3 years ago

luda_lava [24]

Answer:

EXPLAIN

Step-by-step explanation:

6 0

3 years ago

a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F

slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

M= (c^2)/8 which is intern equal to 2 $\sqrt{2}$

Step-by-step explanation:

Find the area, by setting the limits as

= $4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}4d\theta$

$=8\pi$

Therefore;

Mxy= $\int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta$

z-bar = 8/3

M= 8 $\pi$ dividing it into two volume gives us = 4 $\pi$

means $4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta$

$4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)$

c=2 $\sqrt{2}$

5 0

3 years ago

A rectangle has an area of 198 square meters and a width of 9 meters.

madreJ [45]

Answer:

The length of the triangle is 22.

Step-by-step explanation:

Area = width*length

length = area/width = 198/9 = 22

3 0

3 years ago

djverab [1.8K]

Answer:part A including SD cards, Theresa and Ruben have 2.624 x 10^11 bits of storage.

Part b :32 bits

Step-by-step explanation:sorry that's all I know

Hope I helped

5 0

3 years ago