Using the zoom option, you may study the graphs from a very 'close' (The matrix may contain symbolic constants).ДЄfter entering one or more functional expressions, the graphs are drawn. (The equations may contain symbolic constants). The result appears at the bottom of a web document which otherwise looks likeД¬arries out the necessary computations exactly. The symbol * for multiplication may be omitted. Some more general equations are admissible too). (The equation may contain symbolic constants.ДЄlthough the page offers only the solution of polynomial equations, Statements as the JavaCalc calculator refered to above.Д¬arries out the necessary computations exactly and numerically. It containts only a single input line, but it understands (almost) as many If you are not pleased with this calculator, you can choose out ofДЄ handy calculator appearing in a small window. (The above version is loaded from the maths online website. The calculator's functionality has been extended. In a cooperation between the author and maths online in the beginning of 2000, On the calculator's web page you find a detailed description. Sin, cos, tan, exp, log, sqrt, pow, asin, acos, atan, gamma, One of many scientific calculators on the web. So that it may be used simultaneously with other pages of maths online.ДЇor a refined search on this page use your browser's search functionality Below these you find a list of more specialized tools.Д®ach tool is started in its own browser window,

Some selected links which will be used very oftenДЄre designed as buttons. The final value of y is 1.499 m.This page contains prepared links to more than sixty online tools for every day purposes,ДЄnd some hints where you find more. The variable that will be changed to get the error to zero is y, so click that cell.Д¬lick OK and Goal Seek will adjust the value of y so that the difference between the actual flow rate and the calculate flow rate is zero. It will automatically use the selected cell as the Set cell.

Select the cell containing the error, then go to Data > What-If Analysis > Goal Seek. You can use Goal Seek to get the error to zero. This cell calculates the error of your guess. In order to use Goal Seek, set up a cell to calculate the difference between the actual and the calculated flow rate in cell C14: Obviously, the calculated flow rate isnвЂ™t the same as the actual flow rate of 110 m 3/s, so youвЂ™ll need a better guess for the depth, y. Since y is just a guess, the value you calculate wonвЂ™t be equal to the known flow rate, but you can use Goal Seek to adjust the value of y until the calculated flow rate matches the known flow rate. Now you can calculate the flow rate based on the guess value for y. For the hydraulic radius, enter the formula:Д®xcel wonвЂ™t accept R as a name, so name this cell Rad as an abbreviation for radius. Next, weвЂ™ll enter the three equations into Excel. The other input cells have been assigned names. To start, enter a guess value for y of 2 meters. We can solve this system of simultaneous non-linear equations using Goal Seek. The whole system is governed by these three equations for flow rate (Q), area (A) and hydraulic radius (R):Д«oth area and hydraulic radius are dependent on y, and both of those terms are in the flow rate equation. The area of flow is dependent on the depth, y, which is what will be solved for. This channel has a known flow rate (Q), width (B), and slope (S). In our worksheet, weвЂ™ll set up equations for flow in an open channel and use them to find the depth of the flow given a flow rate, slope, roughness, and channel width. However, we can extend the concept of using Goal Seek from solving a single implicit equation to solving systems of nonlinear equations. Unlike simultaneous linear equations, simultaneous non-linear equations cannot be solved using linear algebra.

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