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# Find the general solution? (answer)

This is just one of those polynomial cases. You start by assuming that y is of the form (x+1)^r, calculate y' and y'', plug them back in, factor what you get, and solve the r equation that you get so that the whole thing can be zero. You get more than one value of r, so the general solution...

# Torque applied to the end of an axle will result in the same torque being felt at the other end of the axle. (answer)

You should think of torque as the rotational equivalent of a force. When you apply a force to one end of an object (i.e., you push it), the other end also moves. If this didn't happen, you would be compressing the object, squeezing it, as it were. The same happens with torque. If the object is...

# What is a black hole? (answer)

In order for a star to remain a star, it needs to be in this constant state of equilibrium, where there are some forces (mostly fusion reactions) that make it expand, and some other forces (gravity) that make it contract. When all forces are balanced, the star maintains its size. But the problem...

# the shorter diagonal of a regular hexagon is 6. What is the length of the longer diagonal? (answer)

Hi Marsha, In order to answer this clearly, I'm going to need you to look at this image http://i.imgur.com/nJh8x.png Now, you know that the interior angles of a regular polygon must add up to 180(n-2), which in this case, with n=6, gives you 720. That means that each of the interior...