Over the many years I have been tutoring, I have time and again found myself hating the teachers that assign the homework and tests my students have to work on. Of course, this doesn't happen every time, or even most times, but it happens often enough that it prompted me to write this.
The reason I dislike these teachers so much is not related to how much work they create for me...
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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...

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 solid...

My latest thoughts have again been inspired by one of those little surveys WyzAnt like to ask their tutors. This time the question was about what we, as tutors, think parents should ask of us before hiring us to help their children. A seemingly innocent, simple question which, nevertheless, left me thinking.
To be honest, I hadn't really considered this before. I do a lot of the asking in...
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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...

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...

A recent survey question from the WyzAnt people got me thinking. The question asked how many hours of tutoring in took, on average, to help a student go up a letter grade. I found myself hesitating before answering, because I have done two different types of tutoring, with two very different results. In the end, I decided to answer based on my favorite type of tutoring: 7 to 10 hours.
Let's...
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The video teaches how to say some basic words in Spanish: the parts of the face.

Purple, blue, light blue, green, red, yellow and black in Spanish.

Ever wonder what comic books sound like in Spanish? Well, watch this to find out!

A very useful phrase to know how to say in Spanish. You know, for all those times when you're at an ESP convention and everyone around you speaks only Spanish.