## Problem 5: Particle Motion Definition and Calculus

The position of a particle (in inches) moving …

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## Problem 5: Particle Motion Definition and Calculus

## Problem 4: B-B-B-Betty and the Jet (Related Rates)

## Problem 2: Continuity

## Problem 1: Limits

## The Chain Rule

## The Quotient Rule

## The Product Rule

## The Power Rule

## The Difference Quotient

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## The Intermediate Value Theorem

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The position of a particle (in inches) moving …

2011-2012 During a taping for Circus of the Stars, beloved actress Betty White is shot out of a cannon. The firing goes completely awry and sends her on a collision course with a jet. As they converge, Betty and the jet plane at right angles to each other (see diagram below). Betty is 200 miles … Continue reading "Problem 4: B-B-B-Betty and the Jet (Related Rates)"

2011-2012 Let f(x) be the function defined below: Determine whether f(x) is continuous at x = 0 and explain your answer. Note: You may use a graphing calculator to examine the graph of f(x). Solution: If f(x) if continuous at x = 0, its left- and right-hand limits exist at x = 0, and they … Continue reading "Problem 2: Continuity"

2011-2012 Describe or draw a function, f(x), with the following characteristics: f(x) has domain (–∞,8) f(x) has range (–∞,9) f(4) = 0; f(5) = 0; f(7) = 0 The limit, as x approaches –∞, of f(x) equals 9 The limit, as x approaches 8 from the left, of f(x) equals –∞ f(–1) = f(–3); f(–1) … Continue reading "Problem 1: Limits"

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The Power Rule Calculus (Video) The video may take a few seconds to load. Having trouble Viewing Video content? Some browsers do not support this version – Try a different browser.