<span>From the pythagorean theorem, we know that x^2 and y^2 = 15^2, where x and y, where x is the base moving from the wall and y is the distance of the ladder sliding down. This means that y = sqrt(225 - x^2). Plugging in x = 13 gives us y = 2sqrt(14). Differentiating both sides of the original equations gives us dy/dt = 13 x 4 / 2sqrt(14) = 52/2sqrt(14) = 26/sqrt(14) ft/s.</span>
There is a Math website that has a lot of Calculus story problems. He shows you how to solve problems.
patrickjmt.com
also on Youtube;
Patrickjmt channel. The Yourmathgal channel is also good,
both have over 800
videos. Have gone to
both since 2011.
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values
345973 rounded to the nearest hundred is 346000
