Question
Find the area between the curve and its asymptote parallel to y-axis. If the revenue function is given by
, x being the input, find the maximum revenue. Also find the revenue function R, if the initial revenue is 0.
Answer :
Word Count : 301
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Skip in 10
The given curve is y²(4 − x) = x³. As x → 4⁻, the denominator (4 − x) → 0⁺ and hence y² → ∞, so the curve has the vertical asymptote x = 4. The curve is symmetric about the x-axis. The horizontal distance between the curve and the asymptote x = 4 at a given x is (4 − x). The ordinate of the curve is y = √(x³/(4 − x)). Hence the required area between
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