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paraboloid
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[Solved]How fast is the distance between the cars changing at this moment
I'm in need of help with the last part (finding dz/dt).
I'm sorry I don't know how to use latex.
Let D refer to partial derivatives.
This was my attempt best try:
Given dz/dt = Dz/Dt*dx/d+ Dz/Dt*dy/dt and z = (x^2+y^2)^(1/2),
2z*dz/dt = 2x*dx/dt + 2y*dy/dt
2(.36+.49)^(1/2)*dz/dt= 2(.6)(-55)+2(.7)(-60)
dz/dt = (2(.6)(-55)+2(.7)(-60)) / (2(.36+.49)^(1/2))
dz/dt = -81.3489
Any help would be great,
thanks
I'm in need of help with the last part (finding dz/dt).
I'm sorry I don't know how to use latex.
Let D refer to partial derivatives.
This was my attempt best try:
Given dz/dt = Dz/Dt*dx/d+ Dz/Dt*dy/dt and z = (x^2+y^2)^(1/2),
2z*dz/dt = 2x*dx/dt + 2y*dy/dt
2(.36+.49)^(1/2)*dz/dt= 2(.6)(-55)+2(.7)(-60)
dz/dt = (2(.6)(-55)+2(.7)(-60)) / (2(.36+.49)^(1/2))
dz/dt = -81.3489
Any help would be great,
thanks
Last edited: