Its a Ring Theory class.Question 14

iclemnaz98 2022-05-17

Its a Ring Theory class.Question 14

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asked 2020-12-30

A majorette in a parade is performing some acrobatic twirlingsof her baton. Assume that the baton is a uniform rod of mass 0.120 kg and length 80.0 cm.
With a skillful move, the majorette changes the rotation ofher baton so that now it is spinning about an axis passing throughits end at the same angular velocity 3.00 rad/s as before. What is the new angularmomentum of the rod?

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asked 2021-02-14

If $A = [1, 2, 4, 3]$ , find B such that $A + B = 0$

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asked 2021-12-30

In a tank of l00 liters of brine containing dissolved salt. Pure water is alloved to run into the tank at the rate of 3 li/min . Brine runs out of the tank at rate of 2 liters minute. The instantaneous concentration in the tank is kept uniform by stirting. How much salt is in the tank at the end of 1 Hr?

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asked 2022-06-25

If limit is zero:

lim_{x \to 0} (\frac{\sin 2 x}{x^{3}} + \frac{a}{x^{2}} + b) = 0

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asked 2022-02-13

If P is linear, then
1) None of the given options is correct
2) The null space of P is empty
3)

P (x - y) = P (x + y)

for all inputs x,y
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P (a x + b y) = a P (x) + b P (y)

for all inputs x, y and constants a, b.

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asked 2021-11-13

A filling station is supplied with gasoline once a week. If its weekly volume of sales in thousands of gallons is a random variable with probability density function
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New questions

Convert the polar equation to a rectangular equation.
r = 2

Graphing functions with calculus
I am stuck on graphing

y = (x - 3) \sqrt{x}

I am pretty sure that the domain is all positive numbers including zero. The y intercept is 0, x is 0 and 3.
There are no asymptotes or symmetry.
Finding the interval of increase or decrease I take the derivative which will give me

\sqrt{x} + \frac{x - 3}{2 \sqrt{x}}

.
Finding zeroes for this I subtract

\sqrt{x}

and then multiply by the denominator

2 x = x - 3

.
This gives me 3 as a zero, but this isn't correct according to the book so I am stuck. I am not sure what is wrong.

Why should the gradient be 0 at a critical point?

Finding new stable superheavy elements is big interests in nuclear physics.
Nuclides with

Z > 92

are not found in nature, but can be made artificially.
Usually these nuclides become more unstable as their atomic number increases.
But, the island of stability predicts there are some stable isotopes of superheavy elements.
My question is why finding stable superheavy element is important?
Is it just for academic curiosity? Or is there some important application?

Given f(x) = absoulte value of X and g(x)= x-2. Find

(f + g) (x), (f - g) (x), (f g) (x), (f / g) (x)

(f \circ g) (x)

How do you prove that the function

g (x) = \frac{x^{3}}{x}

is continuous everywhere but x=0?

Marble Samples, if the bag contain 3 yellow, 4 white, and 8 blue marbles, how many sample of 2 can be drawn in which both marbles are blue?

The gas mileage for a certain vehicle can be approximated by m = -0.04x^2 + 3.6x - 49, where x is the speed of the vehicle in mph. Determine the speed(s) at which the car gets 30 mpg. Round to the nearest mph.

The gas mileage for a certain vehicle can be approximated by m = -0.04x^2 + 3.6x - 49, where x is the speed of the vehicle in mph. Determine the speed(s) at which the car gets 30 mpg. Round to the nearest mph.

A carousel has a radius of 17 ft and takes 28 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge?

Physics