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A student initially stands on a circular platform that is free to rotate without friction about its center. The student jumps off tangentially, setting the platform spinning. Quantities that are conserved for the student-platform system as the student jumps include which of the following?

Angular momentum

Linear momentum

Kinetic energy

I initially thought it would be only kinetic energy as I believe, correct me if I am wrong, that linear momentum wont be conserved in this case because as the student jumps off, it is no longer a closed system as there is now added linear momentum. Please explain your answer. Thanks!

So apparently to find the first four terms of a Maclauren series, I have to divide the numerator, which is e^x, by the denominator, which is 1+x. How do you divide them? When I divided them with the way I think im supposed to divide them, I get e^x+xe^x+x^2e^x+x^3e^x...

Im talking about the formulas like Fg=GMMe/R^2, v=sqrt GMe/r and such. Most of theses formulas have r in the denominator and when we hit the center of the earth, these formulas don't exist anymore. So how are we supposed to do problems regarding gravity and the center of the earth.

Which of the following statements are true?

I. The limit of the nth term of a divergent sequence is always infinity.

II. Every bounded sequence is convergent.

III. If the limit of a series is equal to 0 then the series is convergent.

I only

II only

III only

None of these

All of these

Determine which one of the following tests can be used to show that the harmonic series diverges.

Geometric Series Test

nth term test

Telescopic Series Test

Integral Test

None of these

Im pretty sure the first answer is II only and the last answer is integral test. Please just help me out!

A table is built of two legs, A and B, and a rod of mass-10 kg and length 5m. A small block of 2 kg is placed on the bridge 0,75 m from leg B. Both the rod and the blocks have constant densities(are uniform). You may assume that the legs are very narrow compared to the length of the rod. Find the force with which each leg supports the rod and the block

Ok I understand we have presidents day where we get together to celebrate all the good things the presidents have done in the past but my point is, if it weren't for Abraham Lincoln, we wouldn't have a Martin Luther King Jr. which even though is true, many people don't realize that.

Ok so I have friends who are part of the army, navy and air force and the air force guy is always being picked on about how their training is softer and such. I just want to know if they actually have easier training then navy and army. I am not talking about the special units such as pjs, seals and rangers but Im talking about basic units. If you could compare pjs, seals and ranger though too that would be great.

An object of mass m=1.0 kg experiences a force of the following mathematical form-

F(t)=ke^(-ct) where k=6.0 N, and c=0.101/s. At time t=0, the object has a velocity of v=2.0m/s and is at the origin. Where is this object after 20 seconds?

Full question-

If h-1 is the inverse function of h, with the values of h and h '(x) given in the table below, find the slope of the line tangent to the graph of y = h-1(x) at x = 3.

Table-

x h(x) h'(x)

6 3 7

8 4 6

Ok so I have a 2.5 kg stone thrown upward with a velocity of 12 m/s. The stone takes 8 seconds to reach the ground. This is not on earth so g is unknown. Also it is not thrown from ground level but from a certain height above ground level so we cannot assume that the peak will take four seconds to reach. How would you solve for final velocity in this example?

It is y=ln|secx+tanx| with the absolute values signs.

A grasshopper leaps into the air from the edge of a vertical cliff. Its maximum height is 6.74cm and its angle of launch is 50 degrees. It lands 1.06 meters away. What is the initial speed of the grasshopper and what is the height of the cliff?

So... yeah... why? I thought the U.S was all about separation of religion from government and equality and stuff so why don't churches pay taxes and why do I do -__-. Oh and another thing is why do we say in god we trust? Also if you are in court and you swear upon the book or something and your an atheist does that work?

I have this sharp pain on the left side of my right chest (or it feels around there). I only feel it when I breathe in all the way and exhale all the way. I can lay down but some random movements make it hurt more and I cant lie on my right side at all. I am 16, an athlete (I play about four hours of tennis per day) and I have fitness almost everyday as well. I don't know if I should see a doctor or just wait it out. It has happened to me before but like a two months ago. This was the first time it has happened to me during my workout and lasted this long ( about five hours already).

Also if you can these two are really tough for me as well-

if x,3x+3,5x+5 are three consecutive terms of a geometric sequence, then the sum of these three terms is?

The graph of the curve is represented by {3sin(theta) and y=3sin(theta)} is?

I am looking into the iphone 5 or galaxy S4 as I am getting a new phone and I want to know, what does everyone mean when they say you can do more with the galaxy than the iphone?

Ive take AP Environmental science but these two terms are the only things I still dont truly understand. Could you explain them to me.

These questions always get me. Please show me how to do them.