The Complete Idiot's Guide to Calculus (2nd Edition) by W. Michael Kelley

By W. Michael Kelley

Cast off the curse of calculus!

scholars now not have whatever to worry: The whole Idiot’s advisor to Calculus, moment Edition, is right here. Like its predecessor, it was once created with an viewers of scholars operating towards a non-science comparable measure in brain. A non-intimidating, easy-to-understand textbook spouse, this new version has extra explanatory graphs and illustrations and double the variety of perform problems.

• First version of this ebook has offered extra copies than any of the opposite 70+ books at the subject
• two times as many perform difficulties during this moment edition
• extra students at the moment are required to take calculus in collage than ever before
• writer is an award-winning calculus instructor praised for his skill to make this subject enjoyable and approachable
• His site, calculus-help.com, reaches millions of scholars each month

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Extra info for The Complete Idiot's Guide to Calculus (2nd Edition)

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Notice that both terms can be divided by 4, making 4 a common factor. Therefore, you can write the expression in the factored form of 4(x + 2). In effect, I have “pulled out” the common factor of 4, and what’s left behind are the terms once 4 has been divided out of each. ” and then pull that greatest common factor out of each to write your answer in factored form. You’ve Got Problems Problem 5: Factor the expression 7x2y – 21xy3. Special Factoring Patterns You should feel comfortable factoring trinomials such as x2 + 5x + 4 using whatever method suits you.

5 y = cot x. Secant (Written as y = sec x) The secant function is simply the reciprocal of cosine, so . 6). Hence, the two functions also have the same domain. Notice that the secant has no x-intercepts. In fact, it doesn’t even come close to the x-axis, only venturing as The reciprocal of a fraction is the far in as 1 and –1. That’s a fascinating comparison: the fraction flipped upside down (for cosine has a range of –1 ≤ y ≤ 1 , but the secant has a example, the reciprocal of is range of y ≤ –1 or y ≥ 1—almost the exact opposite.

The range of s is {4,5,6}. Enough math for a second—let’s relate this to real life. A person’s height is a function of time. ” you could give only one answer. You couldn’t respond “5 feet 6 inches” and “6 feet 1 inch,” unless, of course, you lied on your driver’s license. Sometimes you’ll plug more than a number into a function—you can also plug a function into another function. This is called composition of functions, and is not difficult to do. Simply start by evaluating the inner function and work your way out.

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