Difference between revisions of "Assume Command"
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:*<code><nowiki>Assume(a > 0, Integral(exp(-a x), 0, infinity))</nowiki></code> yields <code>1 / a</code>. | :*<code><nowiki>Assume(a > 0, Integral(exp(-a x), 0, infinity))</nowiki></code> yields <code>1 / a</code>. | ||
:*<code><nowiki>Assume(x>0 && n>0, Solve(log(n^2*(x/n)^lg(x))=log(x^2), x))</nowiki></code> yields <code>{x = 100, x = n}</code> | :*<code><nowiki>Assume(x>0 && n>0, Solve(log(n^2*(x/n)^lg(x))=log(x^2), x))</nowiki></code> yields <code>{x = 100, x = n}</code> | ||
| − | :*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt | + | :*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt(x - 1) + 1</code> |
:*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(x - 1) - 1</code> | :*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(x - 1) - 1</code> | ||
:*<code><nowiki>Assume(k>0, Extremum(k*3*x^2/4-2*x/2))</nowiki></code> yields <math> \left\{ \left(\frac{2}{3 k}, -\frac{1}{3 k} \right) \right\} </math> | :*<code><nowiki>Assume(k>0, Extremum(k*3*x^2/4-2*x/2))</nowiki></code> yields <math> \left\{ \left(\frac{2}{3 k}, -\frac{1}{3 k} \right) \right\} </math> | ||
:*<code><nowiki>Assume(k>0, InflectionPoint(0.25 k x^3 - 0.5x^2 + k))</nowiki></code> yields <math> \left\{ \left(\frac{2}{3 k}, \frac{27 k^{3} - 4}{27 k^{2}} \right) \right\} </math> | :*<code><nowiki>Assume(k>0, InflectionPoint(0.25 k x^3 - 0.5x^2 + k))</nowiki></code> yields <math> \left\{ \left(\frac{2}{3 k}, \frac{27 k^{3} - 4}{27 k^{2}} \right) \right\} </math> | ||
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Latest revision as of 16:17, 31 January 2020
CAS Syntax
- Assume( <Condition>, <Expression> )
- Evaluates the expression according to the condition
- Examples:
Assume(a > 0, Integral(exp(-a x), 0, infinity))yields1 / a.Assume(x>0 && n>0, Solve(log(n^2*(x/n)^lg(x))=log(x^2), x))yields{x = 100, x = n}Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))yields-sqrt(x - 1) + 1Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))yieldssqrt(x - 1) - 1Assume(k>0, Extremum(k*3*x^2/4-2*x/2))yields \left\{ \left(\frac{2}{3 k}, -\frac{1}{3 k} \right) \right\}Assume(k>0, InflectionPoint(0.25 k x^3 - 0.5x^2 + k))yields \left\{ \left(\frac{2}{3 k}, \frac{27 k^{3} - 4}{27 k^{2}} \right) \right\}
Note: See also Solve Command.
