Let the inverse demand function be , where is quantity and is price. Then, at , the consumer surplus is equal to ________ (rounded off to two decimal places).
IIT JAM 2024 Question 46: Integration and its applications
Answer and worked solution
Checking your account…
Plain-text version
Let the inverse demand function be p = e^(-x/2), where x is quantity and p is price. Then, at p = 0.5, the consumer surplus is equal to (rounded off to two decimal places).
Integration and its applications has come up 43 times in 6 exams since 2007.
What this question tests
This question is on Applications of integration, part of Integration and its applications in Mathematics.
Using integrals for areas, surplus and recovering totals from marginal quantities.
TestStop has 10 past-paper questions on this subtopic.
Similar questions from other papers
- The area under the curve f(x)=x⁵ e^(x³) between x=1 and x=2 is
- Assume that the rate of investment is described by the function I(t) = 12 t^(1/3) and capital stock k(0) = 25. Find the time path of capital stock k.
- ∫ ((e^(8ln x) - e^(4ln x))/(e^(4ln x) - e^(2ln x))) dx 1. (e^(8x) - e^(4x))/(e^(4x) - e^(2x)) + C 2. x⁵/5 + x³/3 + C 3. x⁵/5 - x³/3 + C 4.
- Let E be the area of the region bounded by y=x² and y=8√x, x≥0. Then 30E is equal to (round off to 1 decimal place).
- Integrate the integral of x*sqrt(x^2 + 1) dx, for x > 0.
Question from the IIT JAM 2024 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.