In his free time Gary spends 14 hours per week on the Internet and 10 hours per week playing video games. If Gary has five hours
2 answers:
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Answer:
The equation of the tangent line is .
Step-by-step explanation:
Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:
(1)
If we know that , then the slope of the tangent line is:
By definition of tangent line, we determine the intercept of the line ():
(2)
If we know that and
, then the intercept of the tangent line is:
The equation of the tangent line is .