The cost (in dollar ) of producing x units of a certain commodity is given below . C(x) =9000+11x +01x^2 A) Find the average value of the rate change of c with respect to x and when the production is changed from x =100 to the given value . I) x= 102 $___ per unit ii) x= 101 $ ____ per unit B) find the instantaneous rate of change to c with respect to when x = 100 . ( this is called marginal cost ) $____ per unit

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A: This question can be solved by using rate of change of physical quantities.

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A: Given that: Rate of change of side of triangle, dadt=3 cm/min

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A: Let's find rate of water is being pumped into the tank.

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A: Volume of pyramid = 1/3 * base area * height

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A: We have to find the water is being pumped

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A: solution:- we have to find dh/dt?

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A: dadt=3 cmmin. (a) Perimeter of triangle = a+a+a      P=3a   dPdt=  3dadt=3×3 =9 cmmin.

Q: Calculate the average rate of change of the given function over the given interval. Where…

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Q: A spherical balloon is being inflated at a constant rate, such that the volume of the balloon…

A: Solution:

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A: Here I am attaching image so that you understand each and every step.

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Q: (hour) f(x) (visitors) 1 2 3 4 100 300 800 900 700

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