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Find the maximum profit that a company c...

Find the maximum profit that a company can make, if the profit function isgiven by `p(x)=41-24 x-18 x^2`

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To find the maximum profit that a company can make given the profit function \( p(x) = 41 - 24x - 18x^2 \), we will follow these steps: ### Step 1: Differentiate the Profit Function We need to find the derivative of the profit function \( p(x) \) with respect to \( x \). \[ p'(x) = \frac{d}{dx}(41 - 24x - 18x^2) \] ...
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NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6.5
  1. Prove that the following functions do not have maxima or minima:(i) f...

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  2. Find the absolute maximum value and the absolute minimum value of the...

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  3. Find the maximum profit that a company can make, if the profit functi...

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  4. Find the maximum value and the minimum value and the minimum value of ...

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  5. At what points in the interval [0,""""2pi] , does the function s in" "...

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  6. What is the maximum value of the function s in" "x" "+" "cos" "x ?

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  7. Find the maximum value of 2x^3-24 x+107in the interval [1, 3]. Find t...

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  8. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  9. Find the maximum and minimum values of f(x)=x+sin2x in the interval...

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  10. Find two numbers whose sum is 24 and whose product is as large as p...

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  11. Find two positive numbers x and y such that x+y=60 and x y^3 is max...

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  12. Find two positive numbers x and y such that their sum is 35 and ...

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  13. Find two positive numbers whose sum is 16 and the sum of whose cube...

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  14. A square piece of tin of side 18 cm is to be made into a box w...

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  15. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box wit...

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  16. Show that of all the rectangles inscribed in a given circle, the sq...

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  17. Show that the height of a closed right circular cylinder of given s...

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  18. Of all the closed cylindrical cans (right circular), of a given volume...

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  19. A wire of length 28 m is to be cut into two pieces. One of the piec...

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  20. Prove that the volume of the largest cone, that can be inscribed in...

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