/ Ejemplo de farmacia Experimentalmente, al administrar una dosis de #d de un fármaco, hemos obtenido estos datos de concentración [y] en el tiempo [x]:

[x]	#x1	#x2	#x3	#x4	#x5
[y]	#y1	#y2	#y3	#y4	#y5

#t1

Ajuste un modelo exponencial a estos datos:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»o«/mi»«mi»s«/mi»«mi»i«/mi»«mi»s«/mi»«/mrow»«mi»a«/mi»«/mfrac»«msup»«mi»e«/mi»«mrow»«mo»-«/mo»«mi»b«/mi»«mi»x«/mi»«/mrow»«/msup»«/math»

Y estime la concentración [y₁₀₀], en el momento x=100.

]]> 1.0000000 0.3333333 0 0 dosis=#da=#ab=#by100=#y100]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>.</mo><mo>.</mo><mn>1000</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo> </mo><mo>=</mo><mo> </mo><mi>aleatorio</mi><mfenced><mrow><mn>100</mn><mo>.</mo><mo>.</mo><mn>1000</mn></mrow></mfenced><mo>/</mo><mn>10000</mn><mo>.</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mi>aleatorio</mi><mfenced><mrow><mn>1</mn><mo>.</mo><mo>.</mo><mn>10000</mn></mrow></mfenced><mo>/</mo><mn>100</mn><mo>.</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mfenced><mi>x</mi></mfenced><mo>:</mo><mo>=</mo><mi>d</mi><mo>/</mo><mi>a</mi><mo>*</mo><msup><mi>e_</mi><mrow><mo>-</mo><mi>b</mi><mo>*</mo><mi>x</mi></mrow></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y100</mi><mo> </mo><mo>=</mo><mo> </mo><mi>f</mi><mfenced><mn>100</mn></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>s</mi><mo>=</mo><mi>aleatorio</mi><mfenced><mrow><mn>2</mn><mo>.</mo><mo>.</mo><mn>20</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>i</mi><mo>*</mo><mi>s</mi><mo> </mo><mi>con</mi><mo> </mo><mi>i</mi><mo> </mo><mi>en</mi><mo> </mo><mn>0</mn><mo>.</mo><mo>.</mo><mn>4</mn></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>f</mi><mfenced><mi>i</mi></mfenced><mo> </mo><mi>con</mi><mo> </mo><mi>i</mi><mo> </mo><mi>en</mi><mo> </mo><mi>x</mi></mtd></mtr></mtable></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>x1</mi><mo>,</mo><mi>x2</mi><mo>,</mo><mi>x3</mi><mo>,</mo><mi>x4</mi><mo>,</mo><mi>x5</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>y1</mi><mo>,</mo><mi>y2</mi><mo>,</mo><mi>y3</mi><mo>,</mo><mi>y4</mi><mo>,</mo><mi>y5</mi></mtd></mtr></mtable></mfenced><mo>=</mo><mi>y</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>tablero</mi><mfenced><mrow/></mfenced></math></input></command><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>=</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>punto</mi><mfenced><mrow><msub><mi>x</mi><mi>i</mi></msub><mo>,</mo><msub><mi>y</mi><mi>i</mi></msub></mrow></mfenced><mo> </mo><mi>con</mi><mo> </mo><mi>i</mi><mo> </mo><mi>en</mi><mo> </mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>5</mn></mtd></mtr></mtable></mfenced></math></comment></maction><maction actiontype="comment"><comment><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dibujar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>P</mi></mrow></mfenced></math></comment></maction><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">for</csymbol><mrow><mi>i</mi><mo> </mo><mi>en</mi><mo> </mo><mn>1</mn><mo>.</mo><mo>.</mo><mn>5</mn></mrow><mrow><mi>dibujar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mi>punto</mi><mfenced><mrow><msub><mi>x</mi><mi>i</mi></msub><mo>,</mo><msub><mi>y</mi><mi>i</mi></msub></mrow></mfenced></mrow></mfenced></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ajustar</mi><mfenced><mrow><mi>t1</mi><mo>,</mo><mn>1</mn><mo>.</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi>o</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">d</mi><mspace linebreak="newline"/><mi>a</mi><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi mathvariant="normal">b</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">b</mi><mspace linebreak="newline"/><msub><mi>y</mi><mn>100</mn></msub><mo>=</mo><mo>#</mo><mi>y</mi><mn>100</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="relative_tolerance">true</option><option name="tolerance">10^(-1)</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution">30 30 30 10</data><data name="inputField">textField</data><data name="casSession"/></localData></question>