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{:(,"Borax bead test",,),(1.,"Copper","a...

`{:(,"Borax bead test",,),(1.,"Copper","a.","Blue"),(2.,"Iron","b.","Grey"),(3.,"Manganese","c.","Red"),(4.,"Cobalt","d.","Bottlegreen"),(5.,"Chromium","e.","Colorless"),(,,"f.","Green"):}`

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{:(1.,"Borax","a.","Allotrope of carbon"),(2.,"Graphite","b.",Na_(2)B_(4)O_(7)),(3.,"ZnO","c.","Ozone"),(4.,"CFCs","d.","Neutral oxide"),(5.,NH_(3),"e.","Fertilizer"),(,,"f.","Fixation of nitrogen"):}

Find x such that the four points A(3,2,1),B(4,x,5),C(4,2,-2) and D(6,5,-1) are coplaner.

Let's plot the points A (4,0), B(0,6), C (2,5), D(7,1) E (?, 5) and F(?,5) on a graph sheet.

Find x such that the four points A(3,2,1), B(4,x,5), C(4,2,-2) and D (6,5,-1) are coplanar .

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices A + 4B - 3C

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices 2B - 3C

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .

A=[(3,a,-1),(2,5,c),(b,8,2)] is symmetric and B=[(d,3,a),(b-a,e,-2b-c),(-2,6,-f)] is skew-symmetric, then find AB.

A single which can can be green or red with probability 4/5 and 1/5 respectively, is received by station A and then transmitted to station B. The probability of each station reciving the signal correctly is 3/4. If the singal received at station B is green, then the probability that original singal was green is

Find the values of 1/x for the following values fo x: (a) (2,5) " (b) "[-5,-1) " (c ) "(3,oo) (d) (-oo,-2] " (e ) "[-3,4]