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<Group labelreference="L27" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font bold="true">Example 9.1</Font></Text-field>
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<Group labelreference="L28" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="restart:" display="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">QyRJKHJlc3RhcnRHJSpwcm90ZWN0ZWRHISIi</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with (linalg):</Text-field>
</Input>
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<Group labelreference="L30" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter experimental date for the fraction of reactant remaining for all fifteen data points (yexp,j = 1,15).</Text-field>
</Input>
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<Group labelreference="L5" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">yexp:=matrix(15,1,[0.980,0.983,0.955,0.979,0.993,0.626,0.544,0.455,0.225,0.167,0.566,0.317,0.034,0.016,0.066]):</Text-field>
</Input>
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<Group labelreference="L35" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter values for the independent variables (time in hours and temperature in K) for all 15 data points in pairs (tj,tempj, j=1,15). </Text-field>
</Input>
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<Group labelreference="L6" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">x:=matrix(15,2,[0.1,100,0.2,100,0.3,100,0.4,100,0.5,100,0.05,200,0.1,200,0.15,200,.2,200,0.25,200,0.02,300,0.04,300,0.06,300,0.08,300,0.1,300]):</Text-field>
</Input>
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<Group labelreference="L36" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The first row in the x matrix is:</Text-field>
</Input>
</Group>
<Group labelreference="L7" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">x[1,1],x[1,2];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">NiQkIiIiISIiIiQrIg==</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L37" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the model equation (ymodel) for the fraction of reactant remaining as a function of time, temperature and parameter values theta1(Arrhenius constant, in hr-1) and theta2 (Acti-vation energy divided by R, in K) .</Text-field>
</Input>
</Group>
<Group labelreference="L8" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ymodel:=exp(-theta1*t*exp(-theta2/T));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJCooSSd0aGV0YTFHRiciIiJJInRHRidGLC1GIzYjLCQqJkkndGhldGEyR0YnRixJIlRHRichIiJGNEYsRjQ=</Equation></Text-field>
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<Group labelreference="L38" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Use the ymodel equation to predict the values of the dependent variable in ypred.</Text-field>
</Input>
</Group>
<Group labelreference="L9" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ypred:=matrix(15,1,[seq(eval(ymodel,{t=x[j,1],T=x[j,2]}),j=1..15)]):</Text-field>
</Input>
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<Group labelreference="L41" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Note that ypred is a 15 x 1 matrix or vector, the first element of which is:</Text-field>
</Input>
</Group>
<Group labelreference="L10" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ypred[1,1];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXN1cEc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEvJkV4cG9uZW50aWFsRTtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjQvJSlzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8lKGxhcmdlb3BHRjQvJS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTExMTExMWVtRictSSVtcm93R0YkNigtRiw2LVEqJnVtaW51czA7RidGL0YyRjVGN0Y5RjtGPUY/L0ZCUSwwLjIyMjIyMjJlbUYnL0ZFRk4tRkg2KC1JI21uR0YkNiRRJDAuMUYnRi8tRiw2LVExJkludmlzaWJsZVRpbWVzO0YnRi9GMkY1RjdGOUY7Rj1GP0ZBL0ZFRkMtSSNtaUdGJDYlUSgmIzk1MjsxRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnRlYtRiM2JUYrLUZINihGSi1GSDYpLUkmbWZyYWNHRiQ2KC1GUzYkUSIxRidGLy1GUzYkUSQxMDBGJ0YvLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZhcC8lKWJldmVsbGVkR0Y0RlYtRkg2JC1GZW42JVEoJiM5NTI7MkYnRmhuRltvRi8vJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lKXJlYWRvbmx5R0Y0Ri9GW3FGXnFGYXFGLy8lMXN1cGVyc2NyaXB0c2hpZnRHUSIwRidGL0ZbcUZecUZhcUYvRmNx">LUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJComSSd0aGV0YTFHRiciIiItRiM2IywkSSd0aGV0YTJHRicjISIiIiQrIkYsJEYyRjI=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L42" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Use Maple's Jacobian command in \342\200\230linalg\342\200\231 to find the elements of J (the sensitivity coefficients of the dependent variable to the parameters, theta1 and theta2).  These are the derivates of the dependent variable y with respect to the parameters evaluated at the experimental conditions</Font></Text-field>
</Input>
</Group>
<Group labelreference="L11" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">J:=jacobian([seq(ypred[j,1],j=1..15)],[theta1,theta2]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="[encoded data, 6104 characters]">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</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L43" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Note that J is a 15 x 2 matrix. The rows of J consist of two elements. The first element in the first row is the derivative of the model equation (ymodel) with respect to theta1 evaluated at the experimental conditions associated with the first data point (x[1,1] and x[1,2]). We use ypred  to obtain and evaluate this element. The second element in the first row of J is the derivate of ymodel with respect to theta2 evaluated at the first data point. The elements in the first row of J are shown next.</Text-field>
</Input>
</Group>
<Group labelreference="L12" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">J[15,1];J[15,2];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjLCRJJ3RoZXRhMkdGKSMhIiIiJCskIiIiLUYlNiMsJComSSd0aGV0YTFHRilGMEYkRjAkRi5GLkYwRjY=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqKEkndGhldGExRzYiIiIiLUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiMsJEkndGhldGEyR0YlIyEiIiIkKyRGJi1GKDYjLCQqJkYkRiZGJ0YmJEYwRjBGJiQiK0xMTExMISM4</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L44" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Next, determine the error between the measured value of y (yexp) and the predicted value of y (ypred). This is needed in the iteration process programmed below for determining the parameter values, theta1 and theta2, via the least squares equation.</Text-field>
</Input>
</Group>
<Group labelreference="L13" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">err:=evalm(yexp-ypred):</Text-field>
</Input>
</Group>
<Group labelreference="L45" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">The variable named err is a 15 x 1 matrix the first element of which is:</Text-field>
</Input>
</Group>
<Group labelreference="L14" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">err[1,1];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCYkIiQhKSohIiQiIiItSSRleHBHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkKiZJJ3RoZXRhMUdGLEYmLUYoNiMsJEkndGhldGEyR0YsIyEiIiIkKyJGJiRGNkY2RjY=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L46" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Initialize an iteration counter, n_iters.</Text-field>
</Input>
</Group>
<Group labelreference="L15" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">n_iters:=0;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L47" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Initialize the parameter vector theta. Initial guesses can often be determined by considering only one of the data points. Another method is to try different initial guesses until the method yields the same converged values for theta1 and theta2.</Text-field>
</Input>
</Group>
<Group labelreference="L16" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">theta:=matrix(2,1,[500,1e3]);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PTYiNiQ7IiIiIiIjO0YmRiZFXFtsIzYkRiZGJiIkKyY2JEYnRiYkRiYiIiQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L48" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Initialize the delta theta vector. </Text-field>
</Input>
</Group>
<Group labelreference="L17" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">dtheta:=evalm(theta) ;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PTYiNiQ7IiIiIiIjO0YmRiZFXFtsIzYkRiZGJiIkKyY2JEYnRiYkRiYiIiQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L49" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Write a \342\200\230do\342\200\231 loop that solves for delta theta, updates the parameter values, and uses a while statement to check for convergence or exceeding 100 iterations.</Font></Text-field>
</Input>
</Group>
<Group labelreference="L18" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">while max(abs(dtheta[1,1]/theta[1,1]),abs(dtheta[2,1]/theta[2,1]))&gt; 1.0e-7 and n iters &lt;100 do Jeval:=eval(J,{theta1=theta[1,1],theta2=theta[2,1]}):JevalT:=transpose(Jeval):dtheta:=evalm(in-verse(JevalT&amp;*Jeval)&amp;*JevalT&amp;*eval(err,{theta1=theta[1,1],theta2=theta[2,1]})):theta:=evalm(theta+dtheta); n_iters:=n_iters+1; end do:</Text-field>
</Input>
<Output>
<Text-field style="Error" layout="Error">Error, missing operator or `;`</Text-field>
</Output>
</Group>
<Group labelreference="L50" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Enter the number of iterations needed to obtain convergence.</Text-field>
</Input>
</Group>
<Group labelreference="L19" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">n_iters;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IiIh</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L51" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Use the converged values of theta1 and theta2 to determine predicted values of y for plotting, call this plotypred:</Text-field>
</Input>
</Group>
<Group labelreference="L20" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalm(theta);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">PTYiNiQ7IiIiIiIjO0YmRiZFXFtsIzYkRiZGJiIkKyY2JEYnRiYkRiYiIiQ=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L21" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotypred:=eval(ymodel,{theta1=theta[1,1],theta2=theta[2,1]});</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkkZXhwRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJComSSJ0R0YnIiIiLUYjNiMsJCokSSJUR0YnISIiJEYyIiIkRiwhJCsm</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L52" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Prepare the experimental data points for plotting. </Text-field>
</Input>
</Group>
<Group labelreference="L22" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata:=[seq([x[j,1],x[j,2],yexp[j,1]],j=1..15)];
</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">NzE3JSQiIiIhIiIiJCsiJCIkISkqISIkNyUkIiIjRiZGJyQiJCQpKkYqNyUkIiIkRiZGJyQiJGIqRio3JSQiIiVGJkYnJCIkeipGKjclJCIiJkYmRickIiQkKipGKjclJEY8ISIjIiQrIyQiJEUnRio3JUYkRkIkIiRXJkYqNyUkIiM6RkFGQiQiJGIlRio3JUYsRkIkIiREI0YqNyUkIiNERkFGQiQiJG4iRio3JSRGLUZBIiQrJCQiJG0mRio3JSRGN0ZBRlckIiQ8JEYqNyUkIiInRkFGVyQiI01GKjclJCIiKUZBRlckIiM7Rio3JUYkRlckIiNtRio=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L23" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">plotdata:=[[.1, 100, .980],[.2, 100, .983],[.3, 100,.955],[.4,100,.979],[.5,100,.993],[0.5,200,.626],[.1,200,.544],[.15, 200,.455],[.2,200,.225],[.25,200,.167],[0.2,300,.566],[0.4,300,.317],[0.6,300,0.34],[0.8,300,0.16],[.1,300,0.66]];</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEpcGxvdGRhdGFGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkobWZlbmNlZEdGJDYmLUYjNkMtRlA2Ji1GIzYrLUkjbW5HRiQ2JFEkMC4xRidGOS1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIL0ZLUSYwLjBlbUYnL0ZOUSwwLjMzMzMzMzNlbUYnLUZZNiRRJDEwMEYnRjlGZm4tRlk2JFEmMC45ODBGJ0Y5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJSlyZWFkb25seUdGPUY5RjkvJSVvcGVuR1EiW0YnLyUmY2xvc2VHUSJdRidGZm4tRlA2Ji1GIzYrLUZZNiRRJDAuMkYnRjlGZm5GXm9GZm4tRlk2JFEmMC45ODNGJ0Y5RmRvRmdvRmpvRjlGOUZccEZfcEZmbi1GUDYmLUYjNistRlk2JFEkMC4zRidGOUZmbkZeb0Zmbi1GWTYkUSYwLjk1NUYnRjlGZG9GZ29Gam9GOUY5RlxwRl9wRmZuLUZQNiYtRiM2Ky1GWTYkUSQwLjRGJ0Y5RmZuRl5vRmZuLUZZNiRRJjAuOTc5RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrLUZZNiRRJDAuNUYnRjlGZm5GXm9GZm4tRlk2JFEmMC45OTNGJ0Y5RmRvRmdvRmpvRjlGOUZccEZfcEZmbi1GUDYmLUYjNitGZHJGZm4tRlk2JFEkMjAwRidGOUZmbi1GWTYkUSYwLjYyNkYnRjlGZG9GZ29Gam9GOUY5RlxwRl9wRmZuLUZQNiYtRiM2K0ZYRmZuRl5zRmZuLUZZNiRRJjAuNTQ0RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrLUZZNiRRJTAuMTVGJ0Y5RmZuRl5zRmZuLUZZNiRRJjAuNDU1RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrRmZwRmZuRl5zRmZuLUZZNiRRJjAuMjI1RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrLUZZNiRRJTAuMjVGJ0Y5RmZuRl5zRmZuLUZZNiRRJjAuMTY3RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrRmZwRmZuLUZZNiRRJDMwMEYnRjlGZm4tRlk2JFEmMC41NjZGJ0Y5RmRvRmdvRmpvRjlGOUZccEZfcEZmbi1GUDYmLUYjNitGanFGZm5GanVGZm4tRlk2JFEmMC4zMTdGJ0Y5RmRvRmdvRmpvRjlGOUZccEZfcEZmbi1GUDYmLUYjNistRlk2JFEkMC42RidGOUZmbkZqdUZmbi1GWTYkUSUwLjM0RidGOUZkb0Znb0Zqb0Y5RjlGXHBGX3BGZm4tRlA2Ji1GIzYrLUZZNiRRJDAuOEYnRjlGZm5GanVGZm4tRlk2JFElMC4xNkYnRjlGZG9GZ29Gam9GOUY5RlxwRl9wRmZuLUZQNiYtRiM2K0ZYRmZuRmp1RmZuLUZZNiRRJTAuNjZGJ0Y5RmRvRmdvRmpvRjlGOUZccEZfcEZkb0Znb0Zqb0Y5RjlGXHBGX3BGZG9GZ29Gam9GOQ==">NzE3JSQiIiIhIiIiJCsiJCIkISkqISIkNyUkIiIjRiZGJyQiJCQpKkYqNyUkIiIkRiZGJyQiJGIqRio3JSQiIiVGJkYnJCIkeipGKjclJCIiJkYmRickIiQkKipGKjclRjsiJCsjJCIkRSdGKjclRiRGQCQiJFcmRio3JSQiIzohIiNGQCQiJGIlRio3JUYsRkAkIiREI0YqNyUkIiNERklGQCQiJG4iRio3JUYsIiQrJCQiJG0mRio3JUY2RlUkIiQ8JEYqNyUkIiInRiZGVSQiI01GSTclJCIiKUYmRlUkIiM7Rkk3JUYkRlUkIiNtRkk=</Equation></Text-field>
</Output>
</Group>
<Group labelreference="L53" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal">Specify the data (yexp) plot, P1, and the predicted values (ypred), P2.</Text-field>
</Input>
</Group>
<Group labelreference="L29" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="`:=`(P1, plot3d(plotdata, t = 0 .. .5, T = 100 .. 300, axes = boxed, style = point, symbol = box, symbolsize = 14, color = black)):" display="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">QyQ+SSNQMUc2Ii1JJ3Bsb3QzZEdGJTYqSSlwbG90ZGF0YUdGJS9JInRHRiU7IiIhJCIiJiEiIi9JIlRHRiU7IiQrIiIkKyQvSSVheGVzR0YlSSZib3hlZEdGJS9JJnN0eWxlR0YlSSZwb2ludEdGJS9JJ3N5bWJvbEclKnByb3RlY3RlZEdJJGJveEdGJS9JK3N5bWJvbHNpemVHRiUiIzkvSSZjb2xvckdGJUkmYmxhY2tHRiVGMA==</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">P2:=plot3d(plotypred,t=0..0.5,T=100..300,axes=boxed,style=wireframe):</Text-field>
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<Text-field style="Text" layout="Normal">Display the plots for the data and the predicted values of y on the same plot as functions of time, t, and temperature, T.</Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="with(plots):" display="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">QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJJnBsb3RzR0YlISIi</Equation></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">display({P1,P2},title=&quot;Example 9.1&quot;,labels=[&quot;t(hr)&quot;,&quot;T(K)&quot;,&quot;y&quot;],labeldirections=[horizontal,horizontal,vertical]);</Text-field>
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<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="three-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0">[encoded data, 620220 characters]</Plot></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
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