The wind-chill index (in degrees C) is modeled by the function W = 13.12 + 0.6215T - 11.37v0.16 + 0.3965TV0.16 where Tis the air-temperature (°C) and v is the wind speed (km/h). When T = 13°C and v = 19 km/h, at what rate is windchill changing as air-temperature increases? (Round your answers to two decimal places.) °C of windchill per °C of air-temperature When T = 13°C and v = 19 km/h, , at what rate is windchill changing as wind-speed increases? (Round your answers to two decimal places.) °C of windchill per km/hr of wind-speed

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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.