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Winter afternoon, unbeknownst to his mom, a child bring a snowball into the hous

ID: 3030462 • Letter: W

Question

Winter afternoon, unbeknownst to his mom, a child bring a snowball into the house, lays it on the floor, and then goes to watch TV. Let W = W(t) be the volume of dirty water has soaked into the carpet t minutes after the snowball was deposited on the floor. Explain in practical terms what the value of W represents. The limiting value is the total it takes for the snowball to melt completely. There is no limiting value for W(t). The limiting value is the total volume of water frozen in the snowball. The value is the rate at which the snowball melts. What this happened physically when this limiting value is reached? The limiting value is reached when the snowball has

Explanation / Answer

since snowball is water frozen into ice

So, W(t) which gives snow melting into water ( which is

absornbed by the carpet) with time depends upon the water that froze into snowball

So, the limiting value is the total volume of water frozen into snowball

When the limiting value is reached the entire snowball is completely melted or finished

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