(Solved) : 53 Measurement Side Square Found 15 Centimeters Possible Error 004 Centimeter 1 Approximat Q32707553 . . .
53)a)The measurement of a side of a square is found to be 15centimeters, with a possible error of 0.04 centimeter.
(1) Approximate the percent error in computing the area of thesquare.
(2) Estimate the maximum allowable percent error in measuring theside if the error in computing the area cannot exceed 1.7%.
b)The measurement of the circumference of a circle is found tobe 64 centimeters, with a possible error of 0.9 centimeter.
(1) Approximate the percent error in computing the area of thecircle. (Round your answer to two decimal places.)
(2) Estimate the maximum allowable percent error in measuring thecircumference if the error in computing the area cannot exceed 4%.(Round your answer to one decimal place.)
2)The radius of a spherical balloon is measured as 4 inches,with a possible error of 0.01 inch. Use differentials toapproximate the maximum possible error in calculating thefollowing.
(a) Calculate the volume of the sphere.
error ±
(b) Calculate the surface area of the sphere.
error ±
(c) Calculate the relative errors in parts (a) and (b).
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Answer to 53 Measurement Side Square Found 15 Centimeters Possible Error 004 Centimeter 1 Approximat Q32707553 . . .
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