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Description
Trigonometric substitution problems are often long and tedious, with lots of important details that you have to pay attention to. It's easier to work through trig sub problems if you have everything you're going to need ahead of time, which is why I like to go through this setup process before I start the main part of the problem.
Description
When you use substitution in definite integrals, you have two options for dealing with the limits of integration. When you make the substitution, change the limits of integration so that they're associated with the substitution variable, instead of with the original variable. If you do this, you'll be able to plug the new limits of integration directly into the integrated function. When you make the substitution, leave the limits of integration in...
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In 2014, after a brief orientation course and a few fingerprinting sessions, Nicholson Baker became an on-call substitute teacher in a Maine public school district. Nearly every morning, he awoke to the dispatcher's five-forty a.m. phone call and headed to a nearby school. When he got there, he did his best to follow lesson plans and help his students get something done. In Baker's hands, the inner life of the classroom is examined anew -- mundane...
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Cerne and Polenghi have made it possible for people suffering from coeliac disease to enjoy fulfilling, flavorsome - and most importantly, gluten-free - diets without having to avoid foods such as pastas, breads or other baked goods. Gluten can be found in all sorts of food and beauty products, even some that may not be so obvious, such as soaps. For those with coeliac disease, consumption of even a tiny amount of gluten can trigger an immune reaction...
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"General Douglas MacArthur's extraordinary life of leadership spanned more than six decades in the military, education, public administration, and business. He defined principles of leadership that were decades ahead of their time: principles reflecting extraordinary wisdom about strategy, motivation, organization, execution, and personal growth. Now, Theodore and Donna Kinni distill 50 powerful leadership lessons from MacArthur's life: lessons you...
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The author reopens the politically incorrect question of just how much children need their parents, especially their mothers. She contends that absent parents--and children who feel like just another chore to be outsourced--are the common denominator of recent epidemics among young people, including obesity, STDs, behavioral problems such as attention deficit disorder, and the use of psychiatric medication in even very young children; and asks whether...
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Description
Most women know the benefits of estrogen replacement after menopause: It reduces the risk of osteoporosis, heart disease, even Alzheimer's disease. Many are still reluctant to take it, because it increases the incidence of breast and uterine cancer. But there is a revolution occurring in hormone replacement therapy. Synthetic hormones, Selective Estrogen Receptor Modulators (SERMs) can give women the benefits of estrogen without the risks. And The...
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