第五,第六题求详细解题过程,谢谢老师!!!
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(5)
x=(1/2)t^2
dx/dt=t
y=t+1
dy/dt =1
dy/dx=(dy/dt)/(dx/dt) = 1/t
(6)
x=sint -tcost
dx/dt = cost - (cost - tsint) = tsint
y=cost+tsint
dy/dt = -sint +sint + tcost = tcost
dy/dx=(dy/dt)/(dx/dt) = (tcost)/(tsint) = cot(t)
x=(1/2)t^2
dx/dt=t
y=t+1
dy/dt =1
dy/dx=(dy/dt)/(dx/dt) = 1/t
(6)
x=sint -tcost
dx/dt = cost - (cost - tsint) = tsint
y=cost+tsint
dy/dt = -sint +sint + tcost = tcost
dy/dx=(dy/dt)/(dx/dt) = (tcost)/(tsint) = cot(t)
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