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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.Tutorial ExerciseTwo cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?Part 1 of 4Using the diagram of a right triangle given below, the relation between x, y, and z isz2 = $$x2+y2 .Part 2 of 4We must find dz/dt. Differentiating both sides and simplifying gives us the following.2z · $$dzdt​  =  2x · dxdt + $$2y · dydt  dzdt =  $$1 x · dxdt + $$y · dydtPart 3 of 4After 2 hours, we have the following.z  =  x 120 2 + 502  =  70.71 130Part 4 of 4Therefore, we have the following.dzdt =  1130120 · + 50 ·   =  mi/h

Question

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.Tutorial ExerciseTwo cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate is the distance between the cars increasing two hours later?Part 1 of 4Using the diagram of a right triangle given below, the relation between x, y, and z isz2 = x2+y2 .Part 2 of 4We must find dz/dt. Differentiating both sides and simplifying gives us the following.2z · dzdt​  =  2x · dxdt + 2y · dydt  dzdt =  1 x · dxdt + y · dydtPart 3 of 4After 2 hours, we have the following.z  =  x 120 2 + 502  =  70.71 130Part 4 of 4Therefore, we have the following.dzdt =  1130120 · + 50 ·   =  mi/h

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I'm sorry, but your previous message seems to be incomplete or not properly formatted. It appears to be a math problem involving rates of change and the Pythagorean theorem, but some parts are missing or unclear. Could you please provide a complete and clear version of the problem?

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