I think up
You know a fraction is in its simplest form when neither the numerator (the number on top) nor the denominator (the number on bottom) have any prime factors in common, in other words, when their GCF is 1.
The limit is 2. (Take the deriviative of both the top and bottom [L'Hôpital's rule] and plug zero in.)
Any fraction can be written in many different ways.For example, 1/2 of a cake is the same amount of cake as 4/8ths, or 8/16ths. 3/4 of 100 dollars is the same as 75/100ths of 100 dollars.We say that 1/2, and 4/8 and 8/16 are equivalent fractions. 3/4 and 75/100 are equivalent too.If you take any fraction and multiply both the top number and the bottom number by the same amount, the fraction means the same as before. It doesn't matter what that amount is, as long as it's the same.This also means that you can divide the top and bottom numbers by the same amount too. 12/18 = 6/9. We divided the top and bottom numbers by 2. But we can divide by 3 as well. 6/9 = 2/3. This is the simplest form we can write the fraction in.So to turn a fraction into its simplest form, you go on dividing the top and bottom numbers by whatever whole number you can until you can't divide any more.90/150 = 9/15 (dividing by 10)9/15 = 3/5 (dividing by 3)So 90/150 in its simplest form is 3/5
4
Find dy/dx of y=1/x. It may be simpler for you to examine the equation y=x^-1. This equation is the exact same as y=1/x. Therefore just multiply -1 by x and subtract 1 from the exponent giving you -x^-2 or y=-(1/x^2). You can also do it through quotient rules. Therefore take the derivative of the top 1 which = 0 and multiply that by the bottom X which will give you 0. Then subtract the derivative of the bottom x this equals 1 and multiply it by the top (1). Put this all over the bottom squared. Which leads to -1/x^2. y=1/x = y=x^-1 = -x^-2 = -(1/x^2)=dy/dx or y=1/x = ((0*x)-(1*1)/x^2 = dy/dx=-1/x^2
bottom of ribs and above the legs
Ribs are numbered from top to bottom starting from the first rib near the clavicle (rib 1) down to the twelfth rib near the lower spine (rib 12). The ribs attach to the thoracic vertebrae in the back and connect to the sternum in the front, providing protection to the chest cavity.
some ribs are larger than others if they are on top or bottom but ribs side by side are symetric
bottom-up
Most people have 12 pairs of ribs in their ribcage. The top 7 pairs are true ribs, attached directly to the sternum, while the bottom 5 pairs are false ribs, either attaching indirectly to the sternum or not at all.
You clean walls top to bottom because the germs fall down and you want to catch them
the antonyms of top are bottom and below down :)
bottom-up
Is open-source development a top-down or bottom up methodology
The numerator is on top. The bottom is the denominator. I always remember D for down (denominator)
Yes.
a stool