Search over 10,000 free study notes

1. Set y=a^x2. Take the natural log of both sides: ln(y)=ln(a^x)3. Using the log rules, simplify: ln(y)=xln(a)4. Differentiate both sides with respect to x: 1/y dy/dx=lna+05. Rearrange: dy/dx=yln(a)6. ...

Resonance occurs when a driving frequency is similar to the natural frequency of the system. The system is forced to vibrate at its natural frequency and therefore absorbs maximum energy, which means that...

1. Collect like terms on one side: 4x+4x=7-132. Simplify: 8x=-63. Divide to find the solution for x: x=-6/84. Simplify again for the answer: x=-3/4

You begin with the "P" which is "Point" and here you make a statement. For example, "Cats are the best household pets for young families". 

Then, the first &...

Essay writing is never easy to get right, so here are several points (in my mind indispensible) to help you sail over those grade boundaries!

1) READ THE QUESTION CAREFULLY

...