he volume V (in cubic centimeters) of a given sample of water varies with changing temperature T (in degrees Celsius). For T between 0°C and 30°C, the relation is given almost exactly by the formula V(t) = V0[1− (6.427 × 10-5)T + (8.505 × 10-6)T2 - (6.790 × 10-8)T 3] Where V0 is the volume of water (not ice) sample at 0°C. a. Suppose that V0 = 105cm3. Substitute this value into the formula above and simplify. b. Find the volume T = 20°C. c. Use the first derivative to find the instantaneous rate of change of volume with respect to temperature when T = 20°C. Identify the units of this quantity

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.