The demand function for a good is given by the equation P=a−bQ while the total cost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit. (b) Derive an expression for the value of Q for which profit is maximised. (2) For the f(x) = −x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s) of inflection, if they exis

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Q: steel

A: Please refer to the image below

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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.