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The total revenue in Rupees received fro...

The total revenue in Rupees received from the sale of x units of a product is given by `R(x)=13 x^2+26 x+15`. Find the marginal revenue when`x = 7`.

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To find the marginal revenue when \( x = 7 \) for the given total revenue function \( R(x) = 13x^2 + 26x + 15 \), we will follow these steps: ### Step 1: Differentiate the Revenue Function The marginal revenue \( MR \) is defined as the derivative of the total revenue function \( R(x) \) with respect to \( x \). Given: \[ R(x) = 13x^2 + 26x + 15 ...
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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6.1
  1. Find the rate of change of the area of a circle with respect to its r...

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  2. The volume of a cube is increasing at the rate of 8 c m^3//s. How fast...

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  3. The radius of a circle is increasing uniformly at the rate of 3 cm/...

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  4. An edge of a variable cube is increasing at the rate of 3 cm per se...

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  5. A stone is dropped into a quiet lake and waves move in circles at t...

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  6. The radius of a circle is increasing at the rate of 0.7 cm/sec. Wha...

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  7. The length x of a rectangle is decreasing at the rate of 5 cm/minut...

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  8. A balloon, which always remains spherical on inflation, is being in...

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  9. A balloon, which always remains spherical, has a variable radius. F...

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  10. A ladder of length 5 m is leaning against a wall. The bottom of ladde...

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  11. A particle is moving along a curve 6y=x^(3)+2. Find the points on the ...

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  12. The radius of an air bubble is increasing at the rate of 0.5 cm/sec...

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  13. A balloon, which always remains spherical, has a variable diameter 3/...

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  14. Sand is pouring from a pipe at the rate of 12 c m^3//s . The falling s...

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  15. The total cost C (x) in Rupees associated with the production of x uni...

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  16. The total revenue in Rupees received from the sale of x units of a pr...

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  17. The rate of change of the area of a circle with respect to its radius ...

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  18. The total revenue in Rupees received from the sale of x units of a pr...

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