Considere z uma grandeza que depende das grandezas a e b. a) para a = 25 +- 1 calcular: b) para a = 100

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!

1 Resposta

  • Aryanemendes

    Bom dia Renata!

    Solução!

    a) ~~A=25pm1$\ A ~~varia~~ entre\ $A=25-1=24$\ $A=25+1=25$\ A~~ varia~~ entre~~ 24~~ a~~ 26\ oxed{resposta:z=2}\\
b) $A=100pm3$ e $B=45pm2$\
A=100pm3$ pode ~~variar ~~97~~a~~103$\
$B=45pm2$ pode~~ variar ~~43~~a~~47$\
Menor~~ valor~~ da~~ soma$97+43=140$\
Maior~~ valor~~ da~~ soma$47+103=150$\
$a+b=(100+45)pm5=145pm5$\
Que~~ pode~~ variar ~~entre\
$135+145$\
oxed{resposta:z=10} \\

    c) ~~A=0,100pm0,003$ ~~~~~ $B=1.00pm0,05$\
$A=0,100pm0,003$~~ Pode~~ variar ~~$0,097 ~~a~~0,103$\
$B=1.00pm0,05$~~Pode~~ variar~~$0,95~~a~~1,05$\
Soma~~ do~~ menor~~ valor~~ $0,95+0,103=1,053$\
Soma~~ do~~ maior~~ valor~~$0,097+1,05=1,47$\
$(a+b)=(0,100+1,00)pm0,053$\
$1,1pm0,053$\
Pode~~ variar~~ entre\
$1,047~~a~~1,153$\
oxed{resposta:z=0,106}

    Boa tarde!
    Bons estudos!

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