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求下列参数方程所确定函数的二阶导数:x=a(t-sint),y=a(1-cost)
人气:421 ℃ 时间:2020-03-28 21:37:11
解答
dx/dt=a(1-cost)dy/dt=asinty'=sint/(1-cost)dy'/dt=[cost(1-cost)-sint*sint]/(1-cost)^2=(cost-1)/(1-cost)^2=-1/(1-cost)y"=(dy'/dt)/(dx/dt)=-1/[a(1-cost)^2]
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