A circular plate is measured to have a diameter of 3.5 feet if the measurement could be off by as much as 0.1 feet use differentials to estimate the possible area when calculating the area of the plate

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

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Q: find by use of differentials the approximate total area of a right circular cone whose base radius…

A: Given : Right circular cone whose base radius and height are 5.03 inches and 11.89 inches. We know…

Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.06 cm…

A: Given information: The diameter of the hemisphere is 52 m that means the radius is 26 m. Formula…

Q: Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using…

A: This question is taken from the differentiation in which we have to find the relative error in the…

Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

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Q: A closed rectangular box is to have an inside length of 8 meters, an inside width of 5 meters, an…

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Q: the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the…

A: The circumference of a sphere with radius r is  given as C = 2 π r  and the surface area is given by…

Q: the radius of a circle is increasing at a constant rate of 100 meters per second. at what rate is…

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Q: .A ball 6 inches in diameter is to be covered by a rubber material which is in-thick. Using…

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

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Q: The side of an equilateral triangle was measured to be 233 cm with at most possible error of 0.5 cm.…

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Q: 3. The edge of a cube is measured to be 6 inches with a possible error of ±0.1 inch. Estimate the…

A: The error in measuring the edge of the cube is 0.1 inches. to find the error in the surface area and…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cmand height 12…

A: Given : Diameter of tin = 8 cm. Height of tin = 12 cm. Thickness of tin = 0.04 cm.   To estimate…

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 14 cm high and…

A: *given:- radius of the cylindrical can, R = 6/2 = 3 cm height of the cylindrical can, h = 14 cm

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

Q: You are blowing air into a spherical balloon at a rate of cubic inches per second. (The reason for…

A: You are given V'(t), which is    V'(t) = 4pi/3   From there you know   V(t) = (4pi/3) * t   You also…

Q: A water heater that has the shape of a right cylindrical tank with a radius of 1 ft and a height of…

A: The right cylindrical tank has radius 1ft and height 4 ft. The water in it is draining at the rate…

Q: The edges of a cube are found to be 10cm with an error ± 0.03cm The volume of the cube is then…

A: Let the side of the cube = s = 10 cmError in the side = ds = ±0.03 cmNow,Volume of the cube = V =…

Q: A boundary stripe 3 in. wide is painted around a rectangle whose dimensions are 140 ft by 200 ft.…

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Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

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

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

Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

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Q: The volume of a sphere is changing at a constant rate. Show that the surface area changes at a rate…

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Q: Use differentials to estimate the amount of paint needed to apply a cost of paint 0.06 cm thick to a…

A: It is given that a paint cost 0.06 cm is applied to a hemispherical dome whose diameter is 54 m.…

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 circle has a radius of 5 cm, if the radius is increased by 0.1 mm., what is the estimated increase…

A: Let's find.

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

A: We are given that each side of a square is 8±0.1. Let x be the side of square and then the side of…

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: Suppose the measurement of the side of a square is to be 30 cm with an error of 0.03 cm. Use…

A: Definition used -      Error in area of the square -                 ∆A=2x∆x          Here x is…

Q: An astronaut using a camera measures the radius of Earth as 4000 mi with an error of ±80 mi. Use…

A: Please see the explanation below

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 11…

A: Let r and h be radius and height of tin can Then r varies from 4 cm to 4.04 cm and height changes…

Q: A painting contractor charges Php 120 per sq.m. for painting the four walls and ceiling of a room.…

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Q: The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to…

A: The volume of cube, V = x3, where x is the edge of the cube.

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

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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…

A: Solution:- It is given that the radius of the end of a log=28 inches. ⇒r=28 inches possible…

Q: an oil spill is spreading in a circle at a rate of 316.7in/sec2. at what rate is the radius changing…

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Q: One side of a right triangle is measured as 9.5 inches and opposite angle equal to 26.75° with 0.25°…

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Q: 3. A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: Solved below.

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

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Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.03 cm thick to a…

A: The diameter of the hemispherical dome is 42m.The volume of the hemisphere is,

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…

A: Diameter of circular pizza is 18 inches and the diameter has a measurement error of +- 0.050…

Q: An ice cube melts in the sun, causing it to shrink. Use a linear approximation to estimate the…

A: The length of the side of the ice cube changes from 1 inch to 0.9 inch The decrease in the side of…

Q: A small hole on the sack of rice cause some rice to be wasted while the sack is being lifted…

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Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

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Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 12 cm and height…

A: The volume of a cylinder is given by the expression . Thus the volume of a thin cylinder is obtained…

Q: Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 20…

A: Since volume is a function of both radius and height, therefore we will use method of partial…

Q: a machinist is required to manufacture a square metal plate with the side length of 5cm.  if the…

A: The length of the metal plate is x=5cm. The machinist is allowed an error of 0.3 cm. The area of the…