Download Bob Miller's Calc for the Clueless: Calc I by Bob Miller PDF

By Bob Miller

The 1st calc examine publications that actually provide scholars a clue.Bob Miller's student-friendly Calc for the Clueless positive aspects quickly-absorbed, fun-to-use info and support. scholars will snap up Calc for the Clueless as they observe: * Bob Miller's painless and confirmed suggestions to studying Calculus * Bob Miller's approach of watching for difficulties * Anxiety-reducing positive factors on each web page * Real-life examples that convey the maths into concentration * Quick-take tools tht healthy brief examine classes (and brief consciousness spans) * the opportunity to have a lifestyles, instead of spend it attempting to decipher calc!

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Example text

Find the average temperature over the 12-hour period. The average temperature value = 68°F (20°C), a delightful average temperature. Chapter 3 Curve Sketching Made Easy The topic I think I can teach better than anyone else in the world is this one. The only question is whether I could write it down. I think I did, and I think you'll really enjoy it! Since we can spend an almost infinite amount of time on the topic, we will restrict our discussion to polynomials and rational functions (polynomials over polynomials), except for a few examples at the end.

This means the slope is decreasing, the curve faces down, and we have a maximum. If f"(c) = 0, then we use the other test. Problem Before we sketch some more curves, let's make sure we all understand each other. There is a kind of problem my fellow lecturer Dan Mosenkis at CCNY likes to give his students. It's not my cup of tea or cup of anything else, but I think it will help you a lot. We have made up a craaaazy function, f(x). Its picture is on the next page. For each listed value of x, A through K, look at f(x) and estimate the sign of f(x), f'(x), and f"(x) at each point.

Substituting y = 108/x, we get The page should be 12 by 9 to have the largest amount of print. Example 7— The strength of a rectangular beam varies jointly as the width and the square of its depth. Which rectangular beam that can be cut from a circular log of radius 10 inches will have maximum strength? If we let x be the width and y be the depth, we can write the equation without a picture. The strength S = kxy 2 ; k is an unknown constant. To find a relationship between x and y, we need a picture of the log.

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