The demand function for a product is modeled by p = 400 − 4x,0 ≤ x ≤ 100, where p is the price per unit (in dollars) and x is the number of units.   (a)Determine when the demand is elastic and inelastic. (Enter your answer using interval notation. If an answer does not exist, enter DNE.)   elastic demand? inelastic demand?    (b)Determine when the demand is of unit elasticity. (Enter your answers as a comma-separated list.) x =     (c) Use the result of part (a) to describe the behavior of the revenue function. (Enter your answers as a comma-separated list, increase or decrease) The revenue function_____   , then is flat at x = _______ ,and then_____ .

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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.