I need help answering all of these, I have no idea what to do. 4:3664%Math 151Written Homework 81. For positive constants A and B, the force between two atoms is a function of thedistance, r, between them:Af(r)r > 0(a) For which values of r is f (r) positive? For which values is f(r) negative? Youranswer should involve A and B.Hint: There is no calculus in this part of the problem. It's just algebra.(b) Find all the values of r where f(r) has a global max or min on the interval (0, 0).Your answer should involve A and B. Be sure to verify that the functio actuallyhas a global max or min where you claim it does.2. A farmer wants to fence in an area of 1.5 million square feet in a rectangular field andthen divide it in half with a fence parallel to one of the sides of the rectangle. How canshe do this so as to minimize the cost of the fence?Note: Be careful with your units! 1.5 is different from 1.5 million.3. An internet provider needs to run an underground cable from station A, on one sideof a river, to station C on the other side of the river. The river is 300 meters across(the shortest way) and station C is 400 meters along the river to a point directly acrossfrom station A (see diagram).Laying the cable costs $100 per meter under dry ground, and $200 per meter under theriver.The company will lay the cable under the ground along the river until it gets to pointB (which is a distance x from A), and then lay the cable in a straight line under theriver from B to C. How far apart should point B be from station A in order to minimizethe cost of laying the cable?Hint: Label a point D directly across the river from B, and write the objective functionin terms of the distance from D to C.400 m300 mAB

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Description: I need help answering all of these, I have no idea what to do. 4:3664%Math 151Written Homework 81. For positive constants A and B, the force between two atoms is a function of thedistance, r, between them:Af(r)r > 0(a) For which values of r is f (r)

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For positive constants A and B, the force between two atoms is a function of the distance, r, between them: A f(r) B r > 0 (a) For which values of r is f(r) positive? For which values is f(r) negative? Your answer should involve A and B. Hint: There is no calculus in this part of the problem. It's just algebra. (b) Find all the values of r where f(r) has a global max or min on the interval (0, 0). Your answer should involve A and B. Be sure to verify that the function actually has a global max or min where you claim it does.

For positive constants A and B, the force between two atoms is a function of the distance, r, between them: A f(r) B r > 0 (a) For which values of r is f(r) positive? For which values is f(r) negative? Your answer should involve A and B. Hint: There is no calculus in this part of the problem. It's just algebra. (b) Find all the values of r where f(r) has a global max or min on the interval (0, 0). Your answer should involve A and B. Be sure to verify that the function actually has a global max or min where you claim it does.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

I need help answering all of these, I have no idea what to do.

4:36
64%
Math 151
Written Homework 8
1. For positive constants A and B, the force between two atoms is a function of the
distance, r, between them:
A
f(r)
r > 0
(a) For which values of r is f (r) positive? For which values is f(r) negative? Your
answer should involve A and B.
Hint: There is no calculus in this part of the problem. It's just algebra.
(b) Find all the values of r where f(r) has a global max or min on the interval (0, 0).
Your answer should involve A and B. Be sure to verify that the functio actually
has a global max or min where you claim it does.
2. A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and
then divide it in half with a fence parallel to one of the sides of the rectangle. How can
she do this so as to minimize the cost of the fence?
Note: Be careful with your units! 1.5 is different from 1.5 million.
3. An internet provider needs to run an underground cable from station A, on one side
of a river, to station C on the other side of the river. The river is 300 meters across
(the shortest way) and station C is 400 meters along the river to a point directly across
from station A (see diagram).
Laying the cable costs $100 per meter under dry ground, and $200 per meter under the
river.
The company will lay the cable under the ground along the river until it gets to point
B (which is a distance x from A), and then lay the cable in a straight line under the
river from B to C. How far apart should point B be from station A in order to minimize
the cost of laying the cable?
Hint: Label a point D directly across the river from B, and write the objective function
in terms of the distance from D to C.
400 m
300 m
A
B

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