Suppose that x²}+y²}=z²} , with all of \barx}, y , and z measured in miles. Find d z}d t} when x=5 miles, y=10 miles, d x}d t}=-20 mph, and d y}d t}=30 mph. Assume z>0 .
What is the rate of change of z with respect to time when x is 5 miles, y is 10 miles, d x}d t} is -20 mph, and d y}d t} is 30 mph?
A) -40 mph
B) 40 mph
C) -60 mph
D) 60 mph
