Applications of Differentiation Three Marks Questions

11th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    10 x 3 = 30
  1. Find the elasticity of demand in terms of x for the demand law \(p={(a-bx)^{1\over 2}}.\) Also find the values of x when elasticity of demand is unity.

  2. Find the elasticity of supply for the supply law \(x={p\over p+5}\) when p=20 and interpret your result.

  3. Revenue function ‘R’ and cost function ‘C’ are R=14x - x2 and C = x (x2 - 2). Find the
    (i) average cost, (ii) marginal cost, (iii) average revenue and (iv) marginal revenue.

  4. Find the stationary value and the stationary points f(x)=x2+2x–5.

  5. For the production function P = \(4L^{ \frac { 3 }{ 4 } }K^{ \frac { 1 }{ 4 } }\) verify Euler’s theorem

  6. Find the stationary points and stationary values of the function f(x) = x3 - 3x2 - 9x + 5.

  7. Show that the function x3 + 3x2 + 3x + 7 is an increasing function for all real values of x.

  8. Separate the intervals in which the function x3 + 8x2 + 5x - 2 is increasing or decreasing.

  9. Find the maximum and minimum values of the function x2 + 16/x

  10. For the production function P= 5(L)0.7(K)0.3.Find the marginal productivities of Labour (L) and Capital (K) when L = 10, K = 3 [Use (0.3)0·3 = 0.6968; (3.33)0·7 = 2.2322]

*****************************************

TN 11th Standard Business Maths free Online practice tests

Reviews & Comments about 11th Business Maths - Applications of Differentiation Three Marks Questions

Write your Comment