Differential and Integral Calculus by Feliciano and Uy, Exercise 1.1, Problem 7

Differential and Integral Calculus by Feliciano and Uy, Exercise 1.1, Problem 7

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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 $latex a=1,\:b=-y,\:and\:c=3&s=1&fg=000000$ $latex x=\frac{-b\pm \sqrt{b^2-4ac}\:}{2a}&s=1&fg=000000$ $latex x=\frac{\cdot -\left(-y\right)\pm \sqrt{\left(-y\right)^2-4\left(1\right)\left(3\right)}}{2\left(1\right)}&s=1&fg=000000$ $latex x=\frac{y\pm \sqrt{y^2-12}}{2}&s=1&fg=000000$

Geometry Basics

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space (wikipedia.com). Below are example questions in geometry basics. Take time to answer each of them. Afterward, you can download the answer at the bottom of … Continue reading Geometry Basics