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How do you estimate values via Binomial Expansion??
For example...
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
Greeze Geez
For example...
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
comparing the two expressions let 1+2x=1.02 ,find the value of x..
and simply sub that into your expansion
Safe! So weve got: 1 + 12x + 60x^2 + 160x^3
1+2x=1.02 => x=0.01
1+12(0.01)+60(0.01)^2+160(0.01)^3= 1.1262 (4 d.p)
Yea Boiiiii! Thanx for the help mate!
1+2x=1.02 => x=0.01
1+12(0.01)+60(0.01)^2+160(0.01)^3= 1.1262 (4 d.p)
Yea Boiiiii! Thanx for the help mate!
Original post by Greeze Geez
For example...
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
Expand (1 + 2x)^6 in ascending powers of x up to the term in x^3... Fair enough...
THEN IT SAYS: Using your expansion, approximate the value of (1.02)^6... How the hell do you do that! And obviously you have show your working! I cant find how 2 do this anywhere! HELP!!
https://www.examsolutions.net/tutorials/exam-questions-binomial-expansion-estimating-a-value/
This should explain it
thanks also
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