Q9 of 45 Page 1

Write the value of

The value of

Let




As, Range of ,


So,




Hence, The value of y = - π/4


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28

A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machinetime and 3 hours of craftman’s time in its making while a cricket bat takes 3 hours of machinetime and 1 hour of craftman’s time. In a day, the factory has the availability of not more than42 hours of machine time and 24 hours of craftsman’s time. If the profit on a racket and on abat is ` 20 and ` 10 respectively, find the number of tennis rackets and crickets bats that thefactory must manufacture to earn the maximum profit. Make it as an L.P.P. and solve graphically.

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Write the value of

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Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y–axis.