1) The length of the edge of a cube was measured to be 30 cm with a possible error in mea- surement of 0.1 cm. Use differentials to estimate the maximum possible error percentage error in computing... (a) the volume of the cube (b) the surface area of the cube

Q: how can I solve the following problem using the TI-89 calculator?   the edge of a cube is found to…

A: To use differentials to estimate error

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

A: Given formula for the volume of the cone is V=πr2h3 Now, the total differential of V can be…

Q: The measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch.…

A: Let ‘x’ be the edge of cube. Then

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

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

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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: 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: The radius of a spherical balloon is measured to be 9 inches, with a possible error of 0.03 inch.…

A: we know that  surface area of sphere =4pi r^2 where r is the radius of sphere  Given radius of…

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 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: Hello! Can you help me with this calculus problem? I think I got something very wrong.

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Q: Recall that the volume of a right circular cylinder of radius r and height h is V = r’h. Suppose…

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Q: A spherical ball is measured to have a radius of 6 cm with a possible measurement error of ±0.1rmcm.…

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Q: 3. A certaincubewithsideequalto5 inches issaidtohavean incremental error of 0.1 inch in its side.…

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Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. a. Use…

A: The measurement of the side length is accurate to within 0.1 cm. Therefore,  -0.1≤dx≤0.1  The volume…

Q: A cylindrical tank has a radius of 8ft and a height of 10ft. Both dimensions are measured with a…

A: Given : Cylindrical tank has radius of 8 ft and a height of 10 ft,both dimensions are measured with…

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 dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

Q: The dimensions of a closed rectangular box are measured as 97 cm, 60 cm, and 30 cm, respectively,…

A: Let the dimensions of the box be l, w and h (for length, width and height).Surface area of the box…

Q: 2. Assume Barry Bonds's head is a perfect sphere. If Dr. Beeresgood measures Barry's head's radius…

A: Given: r=5.8 in∆r=±0.021 in

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: 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: The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter. (a)…

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Q: the length and with of the rectangets are measured at 29 am and 12 cm respectively, with a maximum…

A: It is provided that the length and width of a rectangle are l=29 cm, w=17 cm, respectively. The…

Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: Given: The radius of the circle is 4m and with an error ±0.5m To find the relative error ∆AA≈dAA "As…

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

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Q: The dimensions of a closed rectangular box are measured as 88 cm, 53 cm, and 32 cm, respectively,…

A: Given: The dimensions of closed rectangular box is : =88cm×53cm×32cm

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: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

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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 dimensions of a closed rectangular box are measured as 74 cm, 51 cm, and 50 cm, respectively,…

A: For a function y=fx, ∂y,∂x,dy and dx represents partial derivative of y and x and then differential…

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 length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up…

A: proof:

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: 1. The edge of a cube was found to be 32 cm with a possible error in measurement of 0.1 cm. Use…

A: Given : Measurement of edge of cube a = 32 cm Possible error in measurement of edge is da = 0.1 cm…

Q: Suppose the side length of a cube is measured to be 5cm with an accuracy of 0.1cm. a) use…

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Q: Use differentials to estimate the maximum error in the volume of a rectangular box with square base…

A: Here we find the error in volume by using differential.

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: A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…

A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…

Q: The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm. Use…

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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…