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  • Question 1
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  • Question 2
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    Let f(x) = x –[x], then f ‘(x) = 1 for

  • Question 3
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    The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant

  • Question 4
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    The volume of cube is increasing at the constant rate of  3 cm3 /s. Find the rate of change of edge of the cube when its edge is 5 cm.​

  • Question 5
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    The total cost associated with the production of x units of a product is given by C(x) = 5x2 + 14x + 6. Find marginal cost when 5 units are produced

  • Question 6
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    The function   is monotonically decreasing in

  • Question 7
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    The true set of real values of x for which the function, f(x) = x  l n x – x + 1 is positive is

  • Question 8
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    The value of  is:

  • Question 9
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  • Question 10
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    The numbers 2, 4, 6, 8 and 10 are written separately on five slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Then, the sample space for the experiment is:

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