12th Class Mathematics Applications of Derivatives

  • question_answer 1)
    The volume of cube is increasing at the rate of 8 cm3/s. How fast is the surface area increasing when the length of an edge is 12 cm ? 

    Answer:

    Letside of cube = a        Volume of cube (V) = a3       Diff. w.r.t. t                        Given that (1)   becomes 8             Now surface area of cube = A = 6a2                                                                         [Using (2)]             Hence rate of increase of surface area of cube is                    


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