For the demand function q = D(x) = 400 find the following. a) The elasticity b) The elasticity at x = 7, stating whether the demand is elastic, inelastic, or has unit elasticity c) The value(s) of x for which total revenue is a maximum (assume that x is in dollars) a) Find the equation for elasticity. E(x) =| b) Find the elasticity at the given price, stating whether the demand elastic, inelastic, or has unit elasticity. E(7) = (Simplify your answer. Type an integer or a fraction.) Is the demand at x =7 elastic, inelastic, or does it have unit elasticity? O A. elastic O B. unit elasticity O C. inelastic c) Find the value(s) of x for which total revenue is a maximum (assume that x is in dollars). O A. $ (Round to the nearest cent as needed. Use a comma to separate answers as needed.) O B. The total revenue is independent of x.

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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.