Fallout, V (in kilograms per square kilometer) from a volcanic explosion depends on the distance, d...

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Fallout, V (in kilograms per square kilometer) from a volcanic explosion depends on the distance, d (in km), from the volcano and the hours, t, since the explosion and is given by √t V = f(d, t) = d (a) The partial derivative of fallout with respect to time is ft (10, 4) = 0.025. Determine the units of this result and, then, interpret the result. (b) Now, find fa(10, 4) and determine a linear approximation for V = f(d, t) at the point (10,4). (c) Use the linear approximation that you found to estimate f(9.8, 4.1). Fallout, V (in kilograms per square kilometer) from a volcanic explosion depends on the distance, d (in km), from the volcano and the hours, t, since the explosion and is given by √t V = f(d, t) = d (a) The partial derivative of fallout with respect to time is ft (10, 4) = 0.025. Determine the units of this result and, then, interpret the result. (b) Now, find fa(10, 4) and determine a linear approximation for V = f(d, t) at the point (10,4). (c) Use the linear approximation that you found to estimate f(9.8, 4.1).