Question
A surgical laser is cutting an incision in the eye according to the equation x^2-4y^2=9, y>0.
The incision rates vary to allow for curvature of the eye. When x=5, dx/dt=300 manometers per second. What is dy/dt at that moment?
A. 18.75 manometers per second
B. 93.75 manometers per second
C. 187.5 manometers per second
D. 960 manometers per second
The incision rates vary to allow for curvature of the eye. When x=5, dx/dt=300 manometers per second. What is dy/dt at that moment?
A. 18.75 manometers per second
B. 93.75 manometers per second
C. 187.5 manometers per second
D. 960 manometers per second
Answers
x^2-4y^2=9,
2x dx/dt-8y dy/dt=0
when x=5, solve for y in the original equation, then put y in
2x dx/dt-8y dy/dt=0 and solve for dy/dt
2x dx/dt-8y dy/dt=0
when x=5, solve for y in the original equation, then put y in
2x dx/dt-8y dy/dt=0 and solve for dy/dt
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