The side of a square floor tile is measured to be 28 inches, with a possible error of 1/32 inch. use differentials to approximate the possible propagated error in computing the area of the square.

The possible error in the area value of the square using differentials is ±1.75 inches

Given the Parameters :

Recall, the Formula for Area of a square :

To obtain the approximate possible error, , take the first derivative of Area :

Substitute the value of and into the equation :

Therefore the possible error in the computed area value is ±1.75

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Step-by-step explanation:

The formula for the area of a square is

We have a measured side to be 28 inches with an error of

To find the propogated error we need solve the differential equation for the change in the area, which is

dA = 2s*ds

dA = 2(28)(±1/32) which gives us

dA = ±1.75 inches squared

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

its an acute right triangle

step-by-step explanation: