"It's like a brain gym"

"Addictive"

"Best app to study!!!"

Level 3 Calculus

If \(a, b, c>0\) and \(a+b+c=1\), the minimum value of \((a+\frac{1}{a})^{10}+(b+\frac{1}{b})^{10}+(c+\frac{1}{c})^{10}\) can be expressed as \(\frac{10^{d}}{3^{e}}\) where \(d\) and \(e\) are positive integers. Find \(d+e\)

AnswerIf a person is riding a bicycle, their kinetic energy \(E\) is equal to the amount of heat that would be dissipated from the moment they pull the brake, until they come to rest. If they don't skid, most of this heat will go into heating the brake pad and the metal rim of the wheel. If they do skid, most of the heat will go to the rubber in the tire and to the road.

The kinetic energy is then a measure of the potential of a moving object to do shed energy to its surroundings. There are ...

**Test Prep**- SAT® Math
- ACT® Math
- AP® Calculus AB
- JEE Math

SAT® and AP® are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, this product. ACT® is a registered trademark of ACT, Inc.