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x^(10)+y^(3)+t^(50)...

x^(10)+y^(3)+t^(50)

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If x+y=t+(1)/(t) and x^(3)+y^(3)=t^(3)+(1)/(t^(3)) then prove that (dy)/(dx)=-(1)/(x^(2))

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A tavelling harmonic wave is represented by the equation y(x,t)=10^(-3) sin (50t+2x), where x and Y are in meter and t is in seconds . Which of the following is a correct statement about the wave?

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