Basic Integration| Integral Calculus|

Basic Integration Example in Calculus

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Differential and Integral Calculus by Feliciano and Uy, Exercise 1.1, Problem 2

If $latex y=\frac{x^2+3}{x}&s=3&fg=000000$, find x as a function of y. SOLUTION: $latex y=\frac{x^2+3}{x}&s=1&fg=000000$ $latex xy=x^2+3&s=1&fg=000000$ $latex x^2-xy+3=0&s=1&fg=000000$ Solve for x using quadratic formula. We have $latex a=1,\:b=-y,\:and\:c=3&s=1&fg=000000$ $latex x=\frac{-b\pm \sqrt{b^2-4ac}\:}{2a}&s=1&fg=000000$ $latex x=\frac{\cdot -\left(-y\right)\pm \sqrt{\left(-y\right)^2-4\left(1\right)\left(3\right)}}{2\left(1\right)}&s=1&fg=000000$ $latex x=\frac{y\pm \sqrt{y^2-12}}{2}&s=1&fg=000000$

Northern Essex Community College, Quantitative Reasoning-MAT122-01A, Spring 2017: Exam #2

Questions: There is a rack of 15 billiard balls. Balls numbered 1 through 8 are solid-colored. Balls numbered 9 through 15 contain stripes. If one ball is selected at random, determine the odds  against it being solid-colored. A certain lottery requires players to select 4 different numbers, in any order, from 1 to 56 inclusive. … Continue reading Northern Essex Community College, Quantitative Reasoning-MAT122-01A, Spring 2017: Exam #2