Find the area between the curve and its asy

Question

Find the area between the curve $y^2(4 - x) = x^3$ and its asymptote parallel to y-axis. If the revenue function is given by $\frac{dR}{dx} = 15 + 2x - x^2$ , x being the input, find the maximum revenue. Also find the revenue function R, if the initial revenue is 0.

09 Jan 2026

Answer :

Word Count : 301

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 _______ _______ ______ _____ ___ ____ ________ _______ __________ ____.
________ _______ _____ ______ ____ ______ ________.
____ ______ ________ ___ ______ ____ __________ ___.
___ ______ ____ ___ _______ ________ ________ ______.
__________ __________ ________ _____ ________ _______ _____.
___ _______ ______ _______ _____ _______ __________ ________.
____ __________ __________ ______ ________ ____ _____ ____.
_____ __________ _____ ___ ________ __________ __________ ________ _______.
___ _________ ____ ____ ___ ________ ________ _________ ___ ____.
_____ _____ _________ ___ ____ _____ __________ _______ _____ ____.
____ __________ ________ ____ ___.
____ _________ ______ ___ _______ _______ _________.
____ _________ ___ ____ ____ ______ __________ _______.
__________ __________ __________ __________ _________.
_______ ________ ___ ________ __________ ___ ___ ______ ______ _______ _________.
_______ __________ ______ ____ _____ ________ _____.
____ ________ _____ __________ _______ ________ _____ ____.
_______ ______ ___ ________ _______ _________ _______ ___ _________.
__________ __________ ______ ______ _______ ____ _____ ___ ____ _________ _______.
______ ____ __________ _____ ____ ________.
_____ ______ ________ _____ ____ _____ _______ ______ ________.
_______ __________ __________ _________ _____ _____.
___ ______ _____ _____ ________ _________ ________ ______ ___ ______.
________ __________ ______ ___ ______ __________ _______ ____ ________ ___ _____ _____.
_______ ___ ___ ___ __________ _____.
_______ ________ _____ ______ __________ _____ __________ _________ ________.
__________ ________ _________ __________ _____ ____ _____.
_____ ___ ______ __________ _________ _____ ___.
________ ______ ______ __________ _______.
________ ______ ___ ______ _________ __________ ___.
_________ ____ _______ ___ ___ ____ ____ ______ ______.
_____ ________.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★