MCQ Mughal Empire SET 18

1. The radius of air bubble is increasing at the rate of 0. 25 cm/s. At what rate the volume of the bubble is increasing when the radius is 1 cm.

4π cm³/s

22π cm³/s

2π cm³/s

π cm³/s

Your comments:

Question 1 of 10

2. The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x^{2 + 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.}

Rs 127

Rs 92

Rs 48

Your comments:

Question 2 of 10

3. Find the approximate change in total surface area of a cube of side x metre caused by increase in side by 1%.

12 m²

0.12x² m²

1.2x m²

12x m²

Your comments:

Question 3 of 10

4. The volume of cube is increasing at the constant rate of Find the rate of change of edge of the cube when its edge is 5 cm.

25 cm³/sec

25 cm/s

1/25 cm/s

1/25 cm³/s

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Question 4 of 10

5. The total cost associated with the production of x units of a product is given by Find marginal cost when 5 units are produced

Rs.64

Rs.70

Rs.50

Rs.(10x + 14)

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Question 5 of 10

6. Use differentials to approximate the value of cube root of 66

4.042

4.3

2.021

8.084

Your comments:

Question 6 of 10

7. A stone is dropped into a quiet lake and waves move in circles at a speed of 2cm per second. At the instant, when the radius of the circular wave is 12 cm, how fast is the enclosed area changing ?

Decreasing at the rate of 48π cm² / sec

Increasing at the rate of 24π cm² / sec

Increasing at the rate of 48π cm² / sec

Decreasing at the rate of 24π cm² / sec

Your comments:

Question 7 of 10

8. Using approximation find the value of

2.025

2.001

2.01

2.0025

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Question 8 of 10

9. Find the approximate value of where

564.06

564.01

563.00

563.01

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Question 9 of 10

10. Given a function y = f(x) . Let Δx be the very small change in the value of x , then the corresponding change in the value of y that is Δy is approximately given by

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Question 10 of 10

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