The radius of a spherical ballon is measured to be 10 inches, with a possible error of 0.04 inch.Use differentials to approximate the maximum possible error in calculating the surface area of the sphere. Round your answer to two decimal places.

Q: After 30 minutes from start of filling water inside the cylindrical tank, it was filled by 33…

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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: The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.05 inch. Use…

A: We use differentiation to find the error.

Q: A spherical snowball melts at a rate of 16 in / sec. when the radius is 2 in, then the radius of the…

A: The formula for  volume of sphere is: V=43πr3 Given that dVdt=16 in3/secr=2

Q: a car braked with a constant deceleration of 20ft/s^2, producing skid marks measuring 350 ft before…

A: Measuring distances in feet and time (starting with the brakes being applied ) in seconds we have…

Q: You measure the angle from the ground to the top of the building from a point 74 feet away from the…

A: Given that the building is 74 feet away from the point where the angle is measured.  Let x=75. The…

Q: a particle moves along a straight line with an acceleration of a= 4sin pye t divided by 2 m/s…

A: Given,      a = 4 sinπet2   dvdt = acceleration

Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: 1. Water is flowing into a vertical cylindrical tank at the rate of 24 ft3/min. If the radius of the…

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: Find the approximate increase by the use of differentials, in the volume of the sphere if the radius…

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Q: A heavy-duty shock absorber is compressed 2 cm from its equilibrium position by a mass of 500 kg.…

A: Let K be spring constantThen ,Kx2x10-2=500x9.8⇒K=245000 N/m

Q: You are given the task of building a spherical water tower with an inner diameter of 27.6 m and…

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Q: 3.) The radius of a sphere is claimed to be 6in., with a possible error of 0.02in. Use differentials…

A: Given that  radius of sphere (r) =6 in error (dr) = 0.02 in

Q: A 0.25-slug mass is attached to a spring and spring is stretched 1.28 ft from its natural length.…

A: Given : A 0.25 mass slug

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

A: Given : θ = 26.75°

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: You measure the angle from the ground to the top of the building from a point 70 feet away from the…

A: Given: Base, x=70 ft Let height of the building = h A rough sketch of the given problem is as…

Q: A circle has a radius of 5 cm jf the radius is increased by 0.l mm., what is the estimated increase…

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Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length…

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Q: The measurements of an edge of a cube is found to be 15cm with a possible error of 0.01 cm. Use the…

A: We have a cube whose edge is 15 cm. The error in calculating the edge is 0.01 cm Now, this error can…

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

A: The solution are next step

Q: One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°,…

A: Part (a):To estimate the error in the length of hypotenuse.

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A:

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: (b) (i) The measurement of the edge of a cube is found to be 15 inches, with a possible error 0.03…

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Q: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When…

A: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. The diameter…

Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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

A: topic - derivatives

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: One side of a right triangle is known to be 45 cm long and the opposite angle is measured as 30°,…

A: a) Given that one side is 45 cm long and the opposite angle is measured as 30° with a possible error…

Q: Use differentials to estimate the amount of metal in a closed cylindrical can that is 30 cm high and…

A: Given a closed cylindrical can has height 30 cm and 6 cm is diameter. the metal in the top  and…

Q: 2. A plane travels 560 km from Los Angeles to San Francisco in 1 hour (h). If the plane's velocity…

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Q: The base of the Great Pyramid at Giza is a square that is 20 m on each side. (a) As illustrated in…

A: Answer is mentioned below

Q: The thickness of the shell is a = 0.9 centimeter. Use differentials to approximate the volume of the…

A: To approximate the volume of the shell using differentials. Given, thickness=0.9cm radius=100cm

Q: A circle has a radius of 9 cm. If the radius is increased by 0.2 mm, using differentials, what is…

A: We have to find the increase in area

Q: The base of the Great Pyramid at Giza is a square that is 230 m on each side. (a) As illustrated in…

A:

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

A:

Q: The radius of a spherical balloon is measured as 4 inches, with a possible error of 0.01 inch. Use…

A: The volume of the spherical balloon is measured as V=43πr3 a)Differentiate V=43πr3 with respect to r…

Q: A vertical circular cylinder has radius r ft and height h ft. If the height and radius both increase…

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Q: An inverted conical tank is being filled with water at the rate of 2ft3 per minute. If the tank has…

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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: A child and sled a combined mass of 45.0 kg side down a frictionless slope. the starts rest and has…

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Q: Water is flowing into a vertical cylindrical tank at the rate of 5 cu ft/min. If the- radius of the…

A: The volume of a cylinder is given by the formula V=πr2h. Where, V-volume, r-radius and h is the…

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

A:

Q: One side of a right triangle is known to be 9 cm long and the opposite angle is measured as 30°,…

A: Part (a) Side of the triangle is 15 cm, and opposite angle 30 degree with possible error of ± 1…

Q: The skid marks made by an automobile indicate that its brakes were fully applied for a distance of…

A: Given - The skid marks made by an automobile indicated that its break were fully applied for…

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

A: Given, a One side of right triangle = 20c.m longand the opposite angle=30°=xpossible error=±1°Let…

Q: The edge of a cube is measured at 3 cm, with a possible measurment error of 0.2 cm. Use…

A:

Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per…

A: Given: The radius of the spherical snowball is shrinking 3 inches in a hour.To find the numerical…

Q: f the measurement of the side of a cube is increased from 5 cm to 5.2 cm, the approximate increase…

A: Side of cube is increased from 5 to 5.2