The radius of a circular disk is measured and found to be 20cm, with a max error in measurement of .1cm. Is differentials to approximate the max error (in cm^2) in using this radius to compute the area of the disc (A=pir^2). Round to the one decimal place

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

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

A: The volume of the cylindrical shell is given by V=2πrh∆r, where ∆r is the thickness of the shell.…

Q: A tin can has a circular base of radius 2 inches and height of 6 inches. If the thickness of its…

A: We have to find the volume of tin can using differentials.

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: The radius and height of a right circular cone are measured with errors of at most 1% and 4%,…

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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: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

A: We have to estimate the error in computing the length of the hypotenuse.

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

A: We need to find the material needed to make a container.

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

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

A:

Q: The height and base radius of a circular cylinder are measured as 15 cm and 4 cm, respectively, with…

A: Note the formula and result . Volume of cylinder is . Suppose f and g is a differentiable function…

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

A:

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error…

A:

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

A: Let the length and width of a rectangle are L and W respectively. Now, The length and width of a…

Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

A:

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

A: Given,           The dimensions of a closed rectangular box are measured as 93 cm, 66 cm…

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: Use differentials to estimate the amount of paint needed to apply a coat of paint .05 cm thick to a…

A: Using differential to estimate the amount of paint needed to apply a coat of paint of 0.05cm thick

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: The possible error involved in measuring each dimension of a right circular cone is + inch. The…

A: The propagated error dV = V'(r)dr, here dr = +0.1 or -0.1 inch and r = 4 inches.

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

A: Let the edge of the cube be x= 30cm And given error in measurement of edge dx= 0.1cm a) Volume of…

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,…

A: The volume of a right circular cone is given as, V=13πr2h The volume of the cone is a function of…

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

A:

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

A: Given: The edge of a cube, x=30 cm The error in measurement, ∆x=0.1 cm

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

A:

Q: One side of a right triangle is 150 m long and its adjacent angle is t/3 radians, with t/60 radians…

A: Use derivative

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

A: we have been given the measurements of a triangle a base = 30 cm and a height =12 cm  area of the…

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 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 coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of edge 30…

A: Given that a coat of paint of thickness 0.04 cm is to be applied uniformly to the faces of a cube of…

Q: The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm.…

A: Given that :- Diameter = 30 cm , error = 0.2cm Area of circular disk = πr2 . Where ( r = d/2) So ,…

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

A:

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: The measurements of the base and altitude of a triangle are found to be 26 and 44 centimeters,…

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

A:

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

A:

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

A:

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

A: Due to our guidelines I am solving only first problem  The radius of circular manhole r = 16 in

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

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

A: Given : Radius of end of log is 5 inches. Possible error ½ inches The end of log is in the shape of…

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

A: The radius of the circular cover is given as, r=16 inch The error in the radius is given as, ∆r=0.06…

Q: The two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement…

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Q: The measurements of the base and altitude of a triangle are found to be 38 and 56 centimeters,…

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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: 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…