Integral Calculus – II One Mark Questions

12th Standard EM

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 15
    10 x 1 = 10
  1. Area bounded by the curve y = x (4 − x) between the limits 0 and 4 with x − axis is

    (a)

    \(\frac{30}{3}\) sq.units

    (b)

    \(\frac{31}{3}\)sq.units

    (c)

    \(\frac{32}{3}\) sq.units

    (d)

    \(\frac{15}{2}\) sq.units

  2. Area bounded by the curve y = e−2x between the limits 0 ≤ x ≤ ∞ is

    (a)

    1 sq.units

    (b)

    \(\frac{1}{2}\) sq.unit

    (c)

    5 sq.units

    (d)

    2 sq.units

  3. The given demand and supply function are given byD(x) = 20 − 5x and S(x) = 4x + 8 if they are under perfect competition then the equilibrium demand is

    (a)

    40

    (b)

    \(\frac{41}{2}\)

    (c)

    \(\frac{40}{3}\)

    (d)

    \(\frac{41}{5}\)

  4. If the marginal revenue MR = 35 + 7x − 3x2, then the average revenue AR is

    (a)

    35x + \(\frac { 7{ x }^{ 2 } }{ 2 } -{ x }^{ 3 }\)

    (b)

    35x - \(\frac { 7{ x }^{ 2 } }{ 2 } -{ x }^{ 2 }\)

    (c)

    35 +\(\frac { 7{ x }^{ 2 } }{ 2 } +{ x }^{ 2 }\)

    (d)

    35 + 7x + x2

  5. The profit of a function p(x) is maximum when

    (a)

    MC − MR = 0

    (b)

    MC = 0

    (c)

    MR = 0

    (d)

    MC + MR = 0

  6. The area bounded by y = 2x - x2 and X-axis is _________ sq. units

    (a)

    \(\frac{2}{3}\)

    (b)

    \(\frac{4}{3}\)

    (c)

    2

    (d)

    4

  7. The area of the region bounded by the ellipse

    (a)

    \(\pi\)ab sq.units

    (b)

    \(\frac{\pi a}{b}\) sq.units

    (c)

    2\(\pi\)ab sq.unit

    (d)

    \(\frac{\pi}{2}\) ab sq.units

  8. The area unded by the curves y = 2x, x = 0 anx=2 is________sq.units.

    (a)

    loge2

    (b)

    3loge2

    (c)

    \(\frac{3}{log_e2}\)

    (d)

    2loge3

  9. The area of the region bounded by the line 2y = -x + 8, X - axis and the lines x = 2 and x = 4 is ________ sq.units.

    (a)

    \(\frac{1}{5}\)

    (b)

    \(\frac{2}{5}\)

    (c)

    5

    (d)

    \(\frac{5}{2}\)

  10. The area enclosed by the curve y = cos2x in [0,\(\pi\)] the lines x=0, x=\(\pi\) and the X-axis is ________sq.units.

    (a)

    2\(\pi\)

    (b)

    2\(\pi\)

    (c)

    \(\frac{2}{\pi}\)

    (d)

    \(\frac{\pi}{2}\)

  11. 5 x 1 = 5
  12. Cost function

  13. (1)

    \(\frac{c}{x}\), x≠0

  14. Average cost function

  15. (2)

    ഽmc dx+k

  16. MC

  17. (3)

    x

  18. Output

  19. (4)

    \(\frac{dc}{dx}\)

  20. R

  21. (5)

    Total revenue

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