Suppose a wall clock has a second hand that is 12 cm long. An equation relating d, the distance of the tip of the second hand from the 'horizontal' (a level line through the middle of the clock) with t , time in seconds, beginning when the second hand is pointing up at 12 o'clock would be: d(t) = -12sin (t – 15)]. [30 10 the horizontal Suppose the clock is running faster than usual. Which part of the equation above would be affected? Explain why. Provide an equation showing the clock's second hand moving at a faster speed.

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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.