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Text File | 2000-03-31 | 3.7 KB | 362 lines

>9.Transformation with data. /Øa±≤a-2±-/Ø-2a+4±≤a^2≤-4a+4± MYSZEK 2xy EXAMPLE e t101 p10 t0 zp t1 p6 t0 v500 zpm k/ t2 p2 t0 k/m sgm cam sdm cam k-m c2m spm2 k-m k/m sgm k-m c2m cam k+m c4m sdm cam p1 k^ p1 k^m p1 c2m spm k-m c4m cam k+m c4m t4 p5 t0 Pd ca t5 p3 t0 cam k=m k-m c2m co t10 p5 t0 com crm ca t12 p3 to cam k=m c6m t14 p4 t0 Po p1 ke t16 p6 t0 kem p10 oxm slm2 k? t19 p7 t0 k?m p10 oxm t20 p4 t0 shm n(m spm k-m c2m n)m spm ssm sem ssm kxm sgm2 sl t22 p4 t0 slm3 n(m spm kxm k-m kxm c2m n)m ke t23 p4 t0 kem p10 oxm sg t24 p4 t0 sgm kbm5 sdm slm kbm sem ssm slm2 ssm kxm sg t28 p4 t0 sgm slm kbm slm kbm k+m ke t26 p4 t0 kem p10 oxm sl t29 p4 t0 slm sgm k+m c2m spm ssm sem ssm kxm kw t30 p4 t0 kwm p10 oxm kP kPm kY t35 p6 t0 kYm sg t36 p6 t0 sgm2 ssm slm4 ssm kxm t37 p6 t0 Pp sg t38 p4 t0 sgm2 shm ssm spm5 ssm kxm ke t39 p4 t0 kem p10 oxm t40 p4 t0 sdm shm kxm c6m sdm kbm c6m slm2 kxm c2m ke t44 p4 t0 kem p10 oxm ke t41 p4 t0 kem p10 oxm t42 p4 t0 Pn sdm shm kxm k-m c2m sdm slm kbm k-m c2m slm4 kxm c0m ke t44 p4 t0 kem p10 oxm ke t41 p4 t0 kem p10 oxm t43 p2 t0 kPm ze t102 p10 t0 zxm zem e q BLURB 1`#We are going to transform the expression: 1`#@/Øa±≤a-2±-/Ø-2a+4±≤a^2≤-4a+4±@ 1`#to the form of a rational expression, 1`#next calculate its value for "$a=-2"$; "$a=6"$. 2`We open the &Transformations& window and write the problem. 3`#We write the data 3`#in the &Data and auxiliary variables& window. 4`#Using the mouse we move to 4`#the &Data and auxiliary variables& window. 4`#It is minimized now. 5`We write the first data condition: 5`#"$a=-2"$. 10`#If we have to calculate the value of 10`#an expression in many points we write 10`#conditions using the connective OR. 12`We write the second data condition: 12`#"$a=6"$. 14`Using the mouse we move to the &Transformations& window. 16`As usual after formulating the problem we press &ENTER&. 19`#We can ask the program for a hint 19`#at the plus sign in the denominator. 20`We transform the denominator. 22`We take out the factor "$-2"$. 23`We press &ENTER& to check our transformation. 24`We cancel the second fraction. 26`We press &ENTER& again. 28`We rearrange signs. 29`We add the fractions. 30`#We substitute the data into the 30`#problem using the button on screen. 30`#The mouse is pointing at the button. 35`#We break down the problem into two cases 35`#(press &Shift&+&Y& or the on-screen button). 35`#Each case should contain a different condition from the data. 36`#The program copies the contains of the previous case. 36`#We remove the data condition: 36`#"$a=6"$ 36`#in the &case 2& window. 37`We move to the &case 1& window ... 38`and remove the data condition: 38`#"$a=-2"$. 39`We press &ENTER& to confirm the breakdown. 40`We transform each case separately. 41`#The transformation is finished. 41`#We press "&ENTER&" 41`#&without making any changes& in the expression. ;41`#We now press the &Answer& button. 42`Using the mouse we move to the &case 2& and transform it. 43`Now the problem is solved. 44`We press &ENTER& again. 101`#We show how to use 2xy. 101``#"The presentation proceeds automatically." 101``#To move yellow panels use the mouse. 101`#Press ENTER on the KEYBOARD to continue. 102`#In a moment the &Examples& window will appear. 102`You can watch the same presentation again, or 102`#load the next example, or 102`#close the window and solve your own problem.