Two boats leave a dock at the same time. One boat travels south at 16 mi / hr and the other travels east at 12 mi /hr. After half an hour, how fast is the distance between the boats increasing? Let x be the distance the eastbound boat has traveled, y be the distance the southbound boat has traveled, and z be the distance between the boats. Write an equation that relates x, y, and z. Differentiate both sides of the equation found in the previous step with respect to t. dz dx dy dt dt dt (Do not simplify.) After half an hour, the distance between the boats is increasing at mi / hr.

Q: Sasha wrote the equation y = 6x Which graph shows a proportional relationship with a greater unit…

A: we know that , in a proportional relationship ,one variable is always a constant value times the…

Q: Write the variation equation for x and y, if y varies directly as x, and y = 12 when x = 18. Then…

A:

Q: Four hours after leaving home, Joe is 200 miles from his destination. One hour later, he is 150…

A: given: Four hours after leaving home, Joe is 200 miles from his destination.  One hour later, he is…

Q: After about 9 hours of a steady 50-knot wind, the height of waves int he ocean was found to be 23…

A: Let y feet be the height of waves after x hours of a steady 50-knot wind. Then according to the…

Q: The intensity of a light source at a distance is directly proportional to the strength of the source…

A: Given that, the intensity of a light source at a distance is directly proportional to the strength…

Q: Jennifer went to a nail salon and she was charged fifty-five dollars for four hours in the salon.…

A: Write an equation

Q: The captain of a fishing boat needs to travel 25 miles on his boat. If the captain goes the same…

A: