Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › UoH › UoH 2013 › Q93
1 mark, −0.33Mathematics › Integration and its applications › Applications of integrationModerateabout 2 min

UoH 2013 Question 93: Integration and its applications

If MC = 2−0.4q+3q22 - 0.4q + 3q^22−0.4q+3q2 is the marginal cost (MC) function of a firm where q is the level of output, the total variable cost (TVC) at q = 10 units will be (Hint: Apply integration method):

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

If MC = 2 - 0.4q + 3q² is the marginal cost (MC) function of a firm where q is the level of output, the total variable cost (TVC) at q = 10 units will be (Hint: Apply integration method): (A) 1000 units (B) zero (C) 100 (D) Difficult to calculate from the given data

Also written as: If MC = 2 - 0.4q + 3q^2 is the marginal cost (MC) function of a firm where q is the level of output, the total variable cost (TVC) at q = 10 units will be (Hint: Apply integration method):

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.

Practise Integration and its applicationsMore on Applications of integration

Similar questions from other papers

  • IIT JAM 2026 · Q10The area under the curve f(x)=x⁵ e^(x³) between x=1 and x=2 is
  • UGC-NET 2025 · Q5Assume 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.
  • IIT JAM 2024 · Q46Let 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…
  • CUET-PG 2023 Shift 1 · Q92∫ ((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.
  • IIT JAM 2023 · Q47Let 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).

Question from the UoH 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.