Draw the Hasse diagram for the partial ordering { (a, b) / a divides b } on

{1,2,3,4,6,8,12}

Shi Pra
2022-06-04

Draw the Hasse diagram for the partial ordering { (a, b) / a divides b } on

{1,2,3,4,6,8,12}

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A lunch tray is being held in one hand, as the drawing illustrates. The mass of the tray itself is 0.200 kg, and its center of gravity is located tits geometrical center. On the tray is a 1.00 kg plate of food and a 0.190 kg cup of coffee. Obtain the force T exerted by the thumb and the force F exerted by the four fingers. Both forces act perpendicular to the tray, which is being held parallel to the ground.

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The figure shows the surface created when the cylinder ${y}^{2}+{Z}^{2}=1$ intersects the cylinder ${x}^{2}+{Z}^{2}=1$. Find the area of this surface.

The figure is something like:

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A straight vertical wire carries a current of 1.20 A downward in a region b/t the poles of a large superconducting electromagnet,where the magnetic filed has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00 cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is a) east? b)south? c) 30 degrees south of west?

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asked 2022-04-28

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asked 2022-07-20

Number raised to log expression

I am struggling with what I think should be some a basic log problem:

Show that ${3}^{lo{g}_{2}n}={n}^{lo{g}_{2}3}$

I know that ${3}^{lo{g}_{3}n}=n$ and $lo{g}_{2}n=lo{g}_{3}n/lo{g}_{3}2$

I was attempting something similar to:

${3}^{lo{g}_{3}n/lo{g}_{3}2}={3}^{lo{g}_{3}n-lo{g}_{3}2}$ but then I got stuck. Am I on the right track by using the change of base and then subtracting?

EDIT: I'm not trying to exactly 'show that' the two expressions are equal. I am looking to figure out how to simplify the expression on the left to the one on the right

I am struggling with what I think should be some a basic log problem:

Show that ${3}^{lo{g}_{2}n}={n}^{lo{g}_{2}3}$

I know that ${3}^{lo{g}_{3}n}=n$ and $lo{g}_{2}n=lo{g}_{3}n/lo{g}_{3}2$

I was attempting something similar to:

${3}^{lo{g}_{3}n/lo{g}_{3}2}={3}^{lo{g}_{3}n-lo{g}_{3}2}$ but then I got stuck. Am I on the right track by using the change of base and then subtracting?

EDIT: I'm not trying to exactly 'show that' the two expressions are equal. I am looking to figure out how to simplify the expression on the left to the one on the right

asked 2022-01-23

How do you find $\mathrm{sin}\left({\mathrm{sin}}^{-1}\left(\frac{1}{4}\right)\right)$ ?