The circumference of a sphere was measured to be 84 cm with a possible error of 0.5
Question:
(a) Use differentials to estimate the maximum error in the calculated surface area. What is the relative error?
(b) Use differentials to estimate the maximum error in the calculated volume. What is the relative error?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (14 reviews)
a For a sphere of radius r the circumference is C 2 r and the surface area is S 4 r 2 so r C2 ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
A cyclist rides along the circumference of a circular horizontal plane of radius R, the friction coefficient being dependent only on distance r from the centre O of the plane as k = ko (1-r/R), where...
-
A measuring stick placed along the circumference of a rotating disk will appear contracted, but if it is oriented along a radius, it will not? Explain.
-
Use differentials to estimate the maximum and relative error when computing the surface area or volume. A spherical golf ball is measured to have a radius of 5 mm, with a possible measurement error...
-
Has the availability of shelf registrations reduced the importance of private placements? Why?
-
Smallpox has a rich historyfrom prompting the first vaccine to potential use as a bioterrorism agent. Given what you know about the etiology of the disease and the current state of the worlds...
-
Fixed indirect costs are essential to grasp, particularly as they tend to rise with the complexity of the manufacturing process. Our current costing system adeptly tracks the contribution margin of...
-
A six cylinder four stroke petrol engine develops \(300 \mathrm{~kW}\) (BP) at \(2500 \mathrm{rpm}\). The stroke to bore ratio is 1.25. The mean effective pressure on each piston is 9 bar and...
-
Jenson Department Store is divided into three major departments: Mens Clothing, Womens Clothing, and Home Furnishings. Each of these three departments is supervised by a manager who reports to the...
-
As an economic consultant for Lightning Volt Automotive, you are tasked with discussing the market structure that the firm is currently operating in and why. If Lightning Volt Automotive were...
-
On January 1, 2014, Prince Corporation acquired 70% of the 100,000 outstanding voting shares of Song Limited for a cash consideration of $1,015,000. On that date, shares of Song Limited were trading...
-
The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use differentials to estimate the maximum possible error, relative error, and percentage error in computing...
-
(a) Use differentials to find a formula for the approximate volume of a thin cylindrical shell with height h, inner radius r, and thickness r. (b) What is the error involved in using the formula from...
-
Cutter Furniture, Inc., was organized in 2017. At December 31, 2017, Cutter Furniture, Inc.?s balance sheet reported the following stockholders? equity: Requirement Answer the following questions and...
-
Outline three reasons schools have policies and procedures
-
Nov. 1 sold 5 0 0 lbs of apples at $ 1 . 5 0 per lbs . the customer mr ali paid half in cash and half on account. Each lbs of apples sold cost the company $ 0 . 7 3 . Complete all the journal...
-
Why is American middle class shrinking (provide three reasons)? 2. How do the forces that have led to the shrinking of the middle class impact your chance of becoming (or remaining) a member of the...
-
If SM Ltd.'s current dividend is $1 and the company is reducing dividends by 1% per year, what should the price of the stock be with a cost of capital of 8%
-
2. If 8x 30 and 8x > 0, express these in a continued inequality and find its solution. - 3. Solve the following: (0) x+1 <6 (b) 14-3x1 < 2 (c) 12x+31 5
-
The width of a rectangular LED television screen is 22.9 in. longer than the height. If the diagonal is 60.0 in., find the dimensions of the screen. See Fig. 7.21. Fig. 7.21 60.0 in. h+22.9 h
-
On 1 July 2021, Croydon Ltd leased ten excavators for five years from Machines4U Ltd. The excavators are expected to have an economic life of 6 years, after which time they will have an expected...
-
Use a graph of f(x) = 1/(x2 2x 3) to decide whether f(x) dx is positive or negative. Use the graph to give a rough estimate of the value of the integral and then use partial fractions to find the...
-
Graph both y = 1/(x3 2x2) and an anti-derivative on the same screen.
-
Evaluate the integral by completing the square and using Formula 6. 2x + 1 dx 53. 54. x 2x J 4x + 12x - 7 -dx
-
x-8x+15 A) Let f(x) = = x2+2x-15 Calculate lim f(x) x 3 2x225x75 B) Let f(x) = x-18x45 Calculate lim f(x) x 15
-
If a dance instructor prices her lessons at $60 per student, she will have three students. If she prices her lessons at $50 per student, she will have four students. How much marginal revenue will...
-
What is the difference between objectives, strategies, and goals? How do these things improve our planning process?
Study smarter with the SolutionInn App