Recent content by ejdarling

I think that you might want to show that the change in f(x) approaches zero as the change in x approaches zero. That way, the function won't do anything wild or crazy around the point at which we are calculating the limit, and will approach its calculated value in a smooth manner. To me that...

My son & I will soon be building water + air-powered rockets for cub-scouts with soda-bottles and compressed air. You put so much water in a bottle, pressurize it, and release it upwards... Now, if nearly full of water, it would not go far, nor if nearly empty, using only air, but if optimally...