I'm confused about rates of change? Why don't I put this into the limit formula? (Grade 12 Adv Functions)
Question: As you get father from the earth's surface, gravity has less effect on you. For this reason, you actually weigh less at higher altitudes. A person who weighs 55kg can use this function to find out their weight: [6400(55)]/(h+6400), at a specific height (h) above sea evel.
Find the instantaneous rate of change at 12000 ft above sea level.
How my teacher told me to do it:
[w(12000.001-w(1199.999)]/0.002 = 0.00609
Whatever happened to using LIMITS ?
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This Newton's law of universal gravitation i think.
Well i guess when taking a limit all you need to do is directly plug in the value into h. This would be the limit as h approached 12000 feet?
Isnt this like a "cheat" way to do limits? What happened to properly using the formula?
He's not giving you the instantaneous rate of change then, hes giving you the average rate of change over a small interval.
If you wanna do a limit you can.