Considere Z uma grandeza que depende das grandezas A e B.
a) para A = 25 +- 1 Calcular:
b) para A = 100 +- 3 e B = 45 +- 2 Calcular.
c) para A = 0,100 +- 0,003 -B = 1,00 +- 0,05
HELP!
Respostas
respondido por:
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Bom dia Renata!
Solução!
![a) ~~A=25\pm1$\\\\ A ~~varia~~ entre\\\\\ $A=25-1=24$\\\\ $A=25+1=25$\\\\ A~~ varia~~ entre~~ 24~~ a~~ 26\\\\ \boxed{Resposta:z=2}\\\\\\\\
b) $A=100\pm3$ e $B=45\pm2$\\\\\
A=100\pm3$ pode ~~variar ~~97~~a~~103$\\\\\
$B=45\pm2$ pode~~ variar ~~43~~a~~47$\\\\\\
Menor~~ valor~~ da~~ soma$97+43=140$\\\\\
Maior~~ valor~~ da~~ soma$47+103=150$\\\\\\\
$a+b=(100+45)\pm5=145\pm5$\\\\\\
Que~~ pode~~ variar ~~entre\\\\\
$135+145$\\\\\
\boxed{Resposta:z=10} \\\\\\\\\\](https://tex.z-dn.net/?f=a%29+%7E%7EA%3D25%5Cpm1%24%5C%5C%5C%5C+A+%7E%7Evaria%7E%7E+entre%5C%5C%5C%5C%5C+%24A%3D25-1%3D24%24%5C%5C%5C%5C+%24A%3D25%2B1%3D25%24%5C%5C%5C%5C+A%7E%7E+varia%7E%7E+entre%7E%7E+24%7E%7E+a%7E%7E+26%5C%5C%5C%5C+%5Cboxed%7BResposta%3Az%3D2%7D%5C%5C%5C%5C%5C%5C%5C%5C%0Ab%29+%24A%3D100%5Cpm3%24++e+%24B%3D45%5Cpm2%24%5C%5C%5C%5C%5C%0AA%3D100%5Cpm3%24+pode+%7E%7Evariar+%7E%7E97%7E%7Ea%7E%7E103%24%5C%5C%5C%5C%5C%0A%24B%3D45%5Cpm2%24+pode%7E%7E+variar+%7E%7E43%7E%7Ea%7E%7E47%24%5C%5C%5C%5C%5C%5C%0AMenor%7E%7E+valor%7E%7E+da%7E%7E+soma%2497%2B43%3D140%24%5C%5C%5C%5C%5C%0AMaior%7E%7E+valor%7E%7E+da%7E%7E+soma%2447%2B103%3D150%24%5C%5C%5C%5C%5C%5C%5C%0A%24a%2Bb%3D%28100%2B45%29%5Cpm5%3D145%5Cpm5%24%5C%5C%5C%5C%5C%5C%0AQue%7E%7E+pode%7E%7E+variar+%7E%7Eentre%5C%5C%5C%5C%5C%0A%24135%2B145%24%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3Az%3D10%7D+%5C%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%0A++++%0A "a) ~~A=25\pm1$\\\\ A ~~varia~~ entre\\\\\ $A=25-1=24$\\\\ $A=25+1=25$\\\\ A~~ varia~~ entre~~ 24~~ a~~ 26\\\\ \boxed{Resposta:z=2}\\\\\\\\
b) $A=100\pm3$ e $B=45\pm2$\\\\\
A=100\pm3$ pode ~~variar ~~97~~a~~103$\\\\\
$B=45\pm2$ pode~~ variar ~~43~~a~~47$\\\\\\
Menor~~ valor~~ da~~ soma$97+43=140$\\\\\
Maior~~ valor~~ da~~ soma$47+103=150$\\\\\\\
$a+b=(100+45)\pm5=145\pm5$\\\\\\
Que~~ pode~~ variar ~~entre\\\\\
$135+145$\\\\\
\boxed{Resposta:z=10} \\\\\\\\\\")
![c) ~~A=0,100\pm0,003$ ~~~~~ $B=1.00\pm0,05$\\\\\\
$A=0,100\pm0,003$~~ Pode~~ variar ~~$0,097 ~~a~~0,103$\\\\\
$B=1.00\pm0,05$~~Pode~~ variar~~$0,95~~a~~1,05$\\\\\\\
Soma~~ do~~ menor~~ valor~~ $0,95+0,103=1,053$\\\\\
Soma~~ do~~ maior~~ valor~~$0,097+1,05=1,47$\\\\\\\
$(a+b)=(0,100+1,00)\pm0,053$\\\\
$1,1\pm0,053$\\\\
Pode~~ variar~~ entre\\\\
$1,047~~a~~1,153$\\\\\
\boxed{Resposta:z=0,106}](https://tex.z-dn.net/?f=c%29+%7E%7EA%3D0%2C100%5Cpm0%2C003%24+%7E%7E%7E%7E%7E+%24B%3D1.00%5Cpm0%2C05%24%5C%5C%5C%5C%5C%5C%0A%24A%3D0%2C100%5Cpm0%2C003%24%7E%7E+Pode%7E%7E+variar+%7E%7E%240%2C097+%7E%7Ea%7E%7E0%2C103%24%5C%5C%5C%5C%5C%0A%24B%3D1.00%5Cpm0%2C05%24%7E%7EPode%7E%7E+variar%7E%7E%240%2C95%7E%7Ea%7E%7E1%2C05%24%5C%5C%5C%5C%5C%5C%5C%0ASoma%7E%7E+do%7E%7E+menor%7E%7E+valor%7E%7E+%240%2C95%2B0%2C103%3D1%2C053%24%5C%5C%5C%5C%5C%0ASoma%7E%7E+do%7E%7E+maior%7E%7E+valor%7E%7E%240%2C097%2B1%2C05%3D1%2C47%24%5C%5C%5C%5C%5C%5C%5C%0A%24%28a%2Bb%29%3D%280%2C100%2B1%2C00%29%5Cpm0%2C053%24%5C%5C%5C%5C%0A%241%2C1%5Cpm0%2C053%24%5C%5C%5C%5C%0APode%7E%7E+variar%7E%7E+entre%5C%5C%5C%5C%0A%241%2C047%7E%7Ea%7E%7E1%2C153%24%5C%5C%5C%5C%5C%0A%5Cboxed%7BResposta%3Az%3D0%2C106%7D "c) ~~A=0,100\pm0,003$ ~~~~~ $B=1.00\pm0,05$\\\\\\
$A=0,100\pm0,003$~~ Pode~~ variar ~~$0,097 ~~a~~0,103$\\\\\
$B=1.00\pm0,05$~~Pode~~ variar~~$0,95~~a~~1,05$\\\\\\\
Soma~~ do~~ menor~~ valor~~ $0,95+0,103=1,053$\\\\\
Soma~~ do~~ maior~~ valor~~$0,097+1,05=1,47$\\\\\\\
$(a+b)=(0,100+1,00)\pm0,053$\\\\
$1,1\pm0,053$\\\\
Pode~~ variar~~ entre\\\\
$1,047~~a~~1,153$\\\\\
\boxed{Resposta:z=0,106}")
Boa tarde!
Bons estudos!
Solução!
Boa tarde!
Bons estudos!
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