First question: Use differentials to estimate the amount of paint needed to appl
ID: 2866538 • Letter: F
Question
First question: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a hemispherical dome with diameter 56m(round to two decimal places)Second question Using a graphing calculator to verify the given linear approximation at a=0. Then determine the values of x which the linear approximation is accurate to within 0.1 ( round to three decimal places ) a-root3(1-x)~=1-1/3x
b-1/(1+2x)^3~=1-6x
First question: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a hemispherical dome with diameter 56m(round to two decimal places)
Second question Using a graphing calculator to verify the given linear approximation at a=0. Then determine the values of x which the linear approximation is accurate to within 0.1 ( round to three decimal places ) a-root3(1-x)~=1-1/3x
b-1/(1+2x)^3~=1-6x
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.04 cm thick to a hemispherical dome with diameter 56m(round to two decimal places)
Second question Using a graphing calculator to verify the given linear approximation at a=0. Then determine the values of x which the linear approximation is accurate to within 0.1 ( round to three decimal places ) a-root3(1-x)~=1-1/3x
b-1/(1+2x)^3~=1-6x
Explanation / Answer
r=56m/2=28m
volume of sphere is V=(4/3)pi*r^3
dome is one half of that or (2/3)*pi*r^3
if we apply paint, radius will increase by 0.07cm=0.0007m
that makes new radius of 28.0007m
V2-V1=(4/3)*pi*((r+0.0007)^3-r^3)
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