Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume?

1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
See similar textbooks
icon
Related questions
Question
1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume? 2. Which point on the graph of y = square root of x is closest to the point (7,0)? 3. Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope? 4. A particle moves along a horizontal line. Its position function is s(t) for t 0. For each problem, find the velocity function v(t) and the acceleration function a(t). Sketch the graph of s(t), v(t), and a(t). a. s(t) = t*3 - t^2 - 56t 5. A particle moves along a horizontal line. Its position function is s(t) for t2 0. For each problem, find the displacement of the particle and the distance traveled by the particle over the given interval. Sketch the graph of s(t) and v(t). a. s(t) = -t^2 + 6t + 27; 0 sts 4 b. s(t) = -t^3 + 11"2 ; 3 sts8 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the possible propagated error in the calculated volume.
Transcribed Image Text:1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners so the four sides can be bent upwards. What size should the squares be in order to create a box with the largest possible volume? 2. Which point on the graph of y = square root of x is closest to the point (7,0)? 3. Two vertical poles, one 16 ft high and the other 24 ft high, stand 30 feet apart on a flat field. A worker wants to support both poles by running rope from the ground to the top of each post. If the worker wants to stake both ropes in the ground at the same point, where should the stake be placed to use the least amount of rope? 4. A particle moves along a horizontal line. Its position function is s(t) for t 0. For each problem, find the velocity function v(t) and the acceleration function a(t). Sketch the graph of s(t), v(t), and a(t). a. s(t) = t*3 - t^2 - 56t 5. A particle moves along a horizontal line. Its position function is s(t) for t2 0. For each problem, find the displacement of the particle and the distance traveled by the particle over the given interval. Sketch the graph of s(t) and v(t). a. s(t) = -t^2 + 6t + 27; 0 sts 4 b. s(t) = -t^3 + 11"2 ; 3 sts8 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the possible propagated error in the calculated volume.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS