An astronaut using a camera measures the radius of Earth as 4000 mi with an error of ±80 mi. Use differentials to estimate the relative and percentage error of using this radius measurement to calculate the volume of Earth, assuming the planet is a perfect sphere.

Q: A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as…

A: Given, The diameter of the circular plate,d=3.5feet The radius of the circular…

Q: When the radius is 16mm, the area is changing at approximately

A:

Q: The circumference of a sphere was measured to be 88 cm with a possible error of 0.5 cm. Use linear…

A: Solution :-

Q: A body has a mass of 11 kg falls freely from rest. After falling 553 m, what will its velocity be…

A: There are two methods for calculating the velocity.In first method by using the equation of motion…

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: A sphere is round in shape and symmetrical. The sphere is three dimensional solid. The volume of a…

Q: The radius of a sphere is given as 27 cm with a maximum error in measurement of .05 cm. Use…

A: From the given data:Radius of the sphere r=25cmMaximum error in radius of the sphere Δrr=0.05…

Q: A right inverted circular cone has height of 8 meters and base radius of 3 meters. Assuming that the…

A: Given that, a right inverted circular cone has height of 8 meters and base radius of 3 meters.

Q: a hemischperical dome has a diameter of 50 m. use differentials to estimate the amount of paint…

A: the problem concerns an application of differentials

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: