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Apple Zone / Answering math problems in short-story form
« on: December 05, 2012, 03:29:26 am »
3. In the following situations, give a practical interpretation in words of the function described.
a. f(h(t)), where A = f(r) is the area of a circle of radius r and r = h(t) is the radius of the circle at time t .
I am walking along minding my own business, when suddenly, strange beings appear from nowhere. “We’re from Cerberus,” they say, “And we need to store this transdimensional portal here for a while. Bye!” and then they shout something nonsensical and disappear. But they’ve left behind a medium-sized glowing circle on the ground. It’s pretty much the creepiest thing I’ve ever seen in my life, and even as the hair rises on the back of my neck, I can’t take my eyes off it. I don’t know how long I stared at it before I notice that it’s growing. Apparently the radius of the circle increases as a function of the passage of time. Suddenly I remember what they’d shouted… “f(h(t)), where A = f(r) is the area of a circle of radius r and r = h(t) is the radius of the circle at time t”, and I realized what it meant… the open circular area of the portal is a function of the radius which is a function of the passage of time… and I knew that unless those guys came back real soon, the Earth was doomed.
a. f(h(t)), where A = f(r) is the area of a circle of radius r and r = h(t) is the radius of the circle at time t .
I am walking along minding my own business, when suddenly, strange beings appear from nowhere. “We’re from Cerberus,” they say, “And we need to store this transdimensional portal here for a while. Bye!” and then they shout something nonsensical and disappear. But they’ve left behind a medium-sized glowing circle on the ground. It’s pretty much the creepiest thing I’ve ever seen in my life, and even as the hair rises on the back of my neck, I can’t take my eyes off it. I don’t know how long I stared at it before I notice that it’s growing. Apparently the radius of the circle increases as a function of the passage of time. Suddenly I remember what they’d shouted… “f(h(t)), where A = f(r) is the area of a circle of radius r and r = h(t) is the radius of the circle at time t”, and I realized what it meant… the open circular area of the portal is a function of the radius which is a function of the passage of time… and I knew that unless those guys came back real soon, the Earth was doomed.