An airplane takes off from an airport and lands an hour laterat another airport, 400 miles away. If represents the time in minutes since the plane has left the terminal, let x(t) bethe horizontal distance traveled and  y(t)be the altitude ofthe plane.(a) Sketch a possible graph of  x(t) .(b) Sketch a possible graph of  y(t).(c) Sketch a possible graph of the ground speed.(d) Sketch a possible graph of the vertical velocity.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.