The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm. Use differentials to measure the maximum error in the calculated area of the disk. What is the relative error? What is the percentage error?

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Q: The base radius and height of a right circular cone are measured as 10 cm and 25 cm, respectively,…

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Q: Gordon is making a chocolate dome by coating a plastic dome with a layer of chocolate 2 mm thick. If…

A: Answer: 40π cm³ or 125.66 cm³

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

Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: Let y=f(x) be a differential function.  differential dx  is an independent variable.  the…

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: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. (a) 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…

A: Concept: Estimating error using differentials: ∂A=∂A∂a∂a+∂A∂b∂b+∂A∂θ∂θ Here A is the area of the…

Q: The base radius r and height h of a right circular cone is measured as 5 inches and 10 inches,…

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Q: The radius of a circular disk is given as 20 cm with a maximum error of 0.3 cm. a) Use differentials…

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

A: Relative error

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

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

Q: The radius of a circular disk is given as  28cm with a maximum error in measurement of 0.3 cm. Use…

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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…

A: Topic :- Application of Derivative  Volume of cube = (side)3

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

A: To find out the relative error in the lateral surface area of the cylinder.

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

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: The measurement of the radius of the end of a log is found to be 13 inches, with a possible error of…

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

A: topic - differentials

Q: The measurement of the radius of the end of a log is found to be 17 inches, with a possible error of…

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Q: the outside diameter of a thin spherical shell is 12 ft. If the shell is 0.3 inch thick, use…

A: Volume of a sphere with radius r is V=43πr3

Q: The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a)…

A: Solution:

Q: The measurement of the radius of the end of a log is found to be 5 inches, with a possible error of…

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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 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 amount of paint needed toapply a coat of paint 0.05 cm thick to a…

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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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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 Spicee Pepa’Roni Pizza Company serves large circular pizzas with a diameter of 18 inches. Use…

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Q: The edge of a cube was found to be 15 cm with a possible error in measurement of 0.2 cm. Use…

A: The given data is: Edge of the cube x=15 cmPossible error dx=0.2 cm

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: (a).            Volume of cube :                       V  =  x3                      dV  =  3 x2…

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: 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.