Question:

If the petrol burnt in driving a motor boat varies as the cube of the velocity, then the speed (in km hom ) of the boat going against a water flow of C kms hour so that the quantity of petrol burnt is minimum is

Updated On: Apr 4, 2024
  • $\frac{2C}{3}$
  • $\frac{3C}{2}$
  • $\frac{4C}{3}$
  • $\frac{3C}{4}$
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The Correct Option is B

Solution and Explanation

Answer (b) $\frac{3C}{2}$
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Concepts Used:

Maxima and Minima

What are Maxima and Minima of a Function?

The extrema of a function are very well known as Maxima and minima. Maxima is the maximum and minima is the minimum value of a function within the given set of ranges.

There are two types of maxima and minima that exist in a function, such as:

  • Local Maxima and Minima
  • Absolute or Global Maxima and Minima