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Please I need quick help these two questions. Thanks
Tho edge of a cube was found to be 15 cm with a possible error in measurement of 0.4 om. Use differentials to estimate the maximum in computing the volume of the cube and the surface area of the cube. (Hound your answers to four decimal placens) errot, and (a) the volume of the cube maximum possible error 270 relative erTOr 01 percentage error (b) the surface area of the cube 1/900 667 relative error Please try again. Keep in mind that for a cube with edge length x, its volume is given by V-x3 and its surface area (of the 6 faces) is given by S ะà¹à¸¥. You can take the differentials on both sides of these formulas to obtain expressions for dV and dS. These differentials are good estimates of the largest possible error AV and AS. Finally, use the given values of x 100% for the volume of the cube. In . 0 % and percentage error, and dr measurement enor to approximate the ero. Anv relative error, similar manner, you can perform the estimation for,the surface area V Need Help? The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer) cm2 What is the relative error? (Round your answer to three decimal places.) (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer) cm3 What is the relative error? (Round your answer to three decimal places.) Show transcribed image text
Please I need quick help these two questions. Thanks
Tho edge of a cube was found to be 15 cm with a possible error in measurement of 0.4 om. Use differentials to estimate the maximum in computing the volume of the cube and the surface area of the cube. (Hound your answers to four decimal placens) errot, and (a) the volume of the cube maximum possible error 270 relative erTOr 01 percentage error (b) the surface area of the cube 1/900 667 relative error Please try again. Keep in mind that for a cube with edge length x, its volume is given by V-x3 and its surface area (of the 6 faces) is given by S ะà¹à¸¥. You can take the differentials on both sides of these formulas to obtain expressions for dV and dS. These differentials are good estimates of the largest possible error AV and AS. Finally, use the given values of x 100% for the volume of the cube. In . 0 % and percentage error, and dr measurement enor to approximate the ero. Anv relative error, similar manner, you can perform the estimation for,the surface area V Need Help?
The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer) cm2 What is the relative error? (Round your answer to three decimal places.) (b) Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer) cm3 What is the relative error? (Round your answer to three decimal places.)
Show transcribed image text Casey DurganLv2
18 Sep 2019