2. The side of a square is measured to be 10 ft with a possible error of +/- 0.1 ft. A. Use differentials to estimate the error in the calculated area. B. Estimate the percentage errors in the side and the area.

2. The side of a square is measured to be 10 ft with a possible error of +/- 0.1 ft. A. Use differentials to estimate the error in the calculated area. B. Estimate the percentage errors in the side and the area.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 14E: A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral...

See similar textbooks

Related questions

Q: An engineering instrument is able to measure the side of a square to within ±0.05 mm (dr). First,…

A: Assume the area to be A and the side length be a. Use the derivative to determine the error dA for a…

Q: The Wally Packing And Tanning Company uses cubic boxes to ship high tech tanning widgets. The…

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

Q: 4. The distance travelled by a man driving at the rate of 60 kph

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: The radius of a circle is increased from 2.00 to 2.02 m. Express the estimate as a percentage of the…

A: The radius of a circle is increased from 2.00 m to 2.02 m. That is, Now consider the area of the…

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

Q: The measurement of the circumference of a circle is found to be 64 centimeters, with a possible…

A: Given:- The measurement of the circumference of a circle is found to be 64 centimeters, with a…

Q: = Find out (i) P/V ratio, (ii) Fixed Cost (iii) Sales volume to earn a Profit of 745,000. From

Q: The Volume (V) of a cone varies jointly as its height (h) and the square of its radius (r). Find the…

Q: The measurement of the circumference of a circle is found to be 68 centimeters, with a possible…

Q: A piano wire with mass 3.00 g and length 80.0 cm is stretched with a tension of 25.0 N. A wave with…

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 measurement of the diameter of a disk has an uncertainty of 1.5 mm. How many measurements must be…

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

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: The measurement of the circumference of a circle is found to be 62 centimeters, with a possible…

Q: The height and radius of a right circular cylinder are equal, so the cylinder’s volume is V = pai…

A: To find the approximately the greatest error that can be tolerated in the measurement of height h…

Q: The radius of a cell is measured to be 6 microns with an error of plus or minus 0.4 microns. What is…

A: Given that: Radius of cell=6 microns.Error in radius=±0.4 microns

Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

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: The radius of a star(spherical) was r=a and was observed to increase by 0.01%. Use a linear…

A: Given data is : Radius(r) of a star (spherical) is increase by 0.01% To find the percentage of…

Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

A: Given radius of a circle is increasing at the rate of 4 cm/sec.

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec.…

A: Volume of cylinder = πr2h r= radius of cylinder h= height of cylinder

Q: The side of a cube is measured to be 5 inches with an error of 0.2 inches. Find the relative error…

A: Given that, the side of a cube is measured to be 5 inches with an error of 0.2 inches.

Q: Consider a cone with a radius of 5cm and a height of 10 cm. Find the change in the volume of the…

A: Given data: The given radius of the cone is r=5 cm. The given height of the cone is h=10 cm. The…

Q: If the sides of a square increase in length at a rate of 3 in/s, then the rate of change of the…

A: Let the side length of a square be x Now, Side length increases at a rate of 3in/s. That is, dxdt=3…

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: A distance of 100 Kms. is covered by a man as follows : (i) 80 Kms. in a Car at a speed of 40 Kms.…

Q: 42. If water enters a certain type of garden hose with a diameter of 1.5 cm at a speed of 5 m/s,…

A: 42. Given data is : Diameter of garden hose d1=1.5cm Speed v1=5m/s…

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.09…

Q: The surface area of a cube is increased from 216 square centimetres to 227.664 square centimeters.…

A: calculate the cube side and increase by side length.

Q: Suppose that the magnitudes of two earthquakes differ by 1 on the Richter scale. Find the ratio of…

A: Earthquake A be the larger earthquake and earthquake B be the smaller one. The difference in the…

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

Q: The diameter of a cylindrical pipe is found to be 4.8 cm with an error of ± 0.5 mm. What is the…

Q: The altitude of a certain circular cone is the same as the radius of the base, and is measured as 5…

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: A sphere has a radius of 20 mm with a possible error in measurement of 0.2 mm. Use differentials to…

A: Hh

Q: The radius of a ball bearing is measured by a micrometer to be 1.2 mm with a margin of error of 0.05…

A: Radius of ball bearing r = 1.2 mm Error in measurement dr = 0.05 mm It is asked to find the maximum…

Q: The measurement of the circumference of a circle is found to be 66 centimeters, with a possible…

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…

Q: 4 mm/s when these three sides are 5cm, 4 cm sides x, y and z increase at 6 mm/s, 5 mm/s and Fig.…

A: we have to find rate of change of AC.

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: Amedeo Avogadro discovered the relationship between the pressure and the volume of a gas. O True…

A: Answer

Q: The measurement of the circumference of a circle is found to be 70 centimeters, with a possible…

A: Given the data:

Q: The radius r of a circle is measured with an error of at most 2%.What is the maximum corresponding…

A: To determine: The maximum corresponding percentage error in computing…

Question

2. The side of a square is measured to be 10 ft with a possible error of +/- 0.1 ft.
A. Use differentials to estimate the error in the calculated area.
B. Estimate the percentage errors in the side and the area.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Numerical Differentiation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.
A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.
A cylindrical orange juice container has metal bases of radius length 1 in. and a cardboard lateral surface 3 in. high. If the cost of the metal used is 0.5 per square inch and the cost of the cardboard is 0.2 cent per square inch, what is the approximate cost of constructing one container? Use 3.14.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
Compute the following problems. Express the answers to the nearer whole number. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. What is the surface speed of a 16-inch diameter surface grinder wheel running at1194 rpm?
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and disregard the thickness b If the trough is to be painted inside and out, find the number of square feet to be painted Use 3.14.