The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch. (a) Use differentials to approximate the possible propagated error in computing the volume of the cube. (b) Use differentials to approximate the possible propagated error in computing the surface area of the cube. (c) Approximate the percent errors in parts (a) and (b)

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A: Let base= B  Altitude= H Given that B= 36 , H=50 , dB=0.25 , dH=0.25

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Q: A cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

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Q: The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use…

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Q: The dimensions of a closed rectangular box are measured as 93 cm, 66 cm, and 50 cm, respectively,…

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Q: The side of a square floor tile is measured to be 20 inches, with a possible error of 1/32 inch. Use…

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Q: The radius of a spherical balloon is measured to be 9 inches, with a possible error of 0.03 inch.…

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Q: A person measures the side of a cube as being 10 inches and thus calculates the volume of the cube…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: (a) Use differentials to approximate the possible propagated error in computing the area of the…

A:

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.l cm. Use…

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Q: For a given triangle, side y is measured as 10 cm, the horizontal side x as 20 cm and the included…

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

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A:

Q: A manufacturer produces a triangular lamina with a standard base and height of 30 cm and 12 cm,…

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Q: The measurement of the side of a square floor tile is 16 inches, with a possible error of 86 nch Use…

A: we know the area of square is x^2.

Q: The dimensions of a closed rectangular box are measured as 97 cm, 60 cm, and 30 cm, respectively,…

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Q: A square is measured and each side is found to be 8 inches with a possible error of at most 0.01…

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm. By the…

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Q: A certain cube with side equal to 5 inches is said to have an incremental error of 0.1 inch in its…

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Q: The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter. (a)…

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Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

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Q: The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively,…

A: Given: The dimensions of closed rectangular box is : =88cm×53cm×32cm

Q: 4. The measurement of the side of a square floor tile is 10 inches, with a possible error of 1/32…

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Q: The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement…

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Q: The dimensions of a closed rectangular box are measured as 74 cm, 51 cm, and 50 cm, respectively,…

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Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

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Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

A:

Q: the radius of a circular manhole cover is estimated to be 16 inch with a maximum error in…

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Q: The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of…

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Q: The radius of a circular disk is measured as 24 cm with a maximum error of 0.2 cm of the disk.

A:

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. Use…

A: Topic = Derivative

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A:

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

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Q: The radius of a spherical ballon is measured to be 10 inches, with a possible error of 0.04 inch.Use…

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Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

A:

Q: 13. The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03…

A:

Q: The radius of a circular disk is given as 28 cm with a maximum error in measurement of 0.2 cm. Use…

A: Write the expression for the area of the circle and take the derivative.