(a) Explanation Given Information: The curve has the equation y = 1 2 π e − z 2 2 . Formula used: If f ( x ) = c ⋅ u ( x ) , where, c is a constant and u ( x ) is a differentiable function of x , then, f ′ ( x ) = c ⋅ u ′ ( x ) According to the property of derivatives, if y = e x , where, u is a differentiable function of x , d y d x = e x According to the power rule of differentiation, d y d x = n x n − 1 Calculation: Consider the provided equation, y = 1 2 π e − z 2 2 To find the highest point, differentiate both sides with respect to z , d y d z = d d z ( 1 2 π e − z 2 2 ) = 1 2 π d d z ( e − z 2 2 ) Apply the properties of derivative and simplify, d y d z = 1 2 π ( e</ (b) To determine To graph: The function, y = 1 2 π e − z 2 2 , using a graphing utility.

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

Videos

Question

Chapter 11.2, Problem 37E

(a)

To determine

To calculate: The value of z at which the curve y=12πe−z22 will be at the highest point.

(b)

To determine

To graph: The function, y=12πe−z22, using a graphing utility.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 36E

Chapter 11.2, Problem 38E

Students have asked these similar questions

Please solve the following Probability Problem, please show all work and solve what is asked: HW 1.w. (Special game)The atmosphere has heated up and a fight erupted! There are n + 1players and somebody threw the first punch. Once a person is punched,they punch another person in the group at random. What are the oddsthat after m iterations:a) Nobody punches the person who started it?b) Nobody gets punched twice?Now take it up a notch: imagine the first person punched N other peopleat random, and once someone gets punched, they punch another N peoplein the group at random, and so on. Again, what are the odds that afterm iterations:a) Nobody punches the person who started it?b) Nobody gets punched twice?

Q1. A chest of drawers has 3 drawers. Each drawer has 2 boxes. The boxes of one drawer contain a silver coin in each respectively, the boxes of another a gold coin in each box, and the boxes of the third drawer a gold and a silver coin, respectively. A drawer is selected at random and a box from the drawer is selected at random and opened. The coin is found to be silver. What is the probability that the coin in the other box is gold? (Harder Problem)

Write codes to perform the functions in each of these cases i. ii. Apply cd command to tell STATA the filepath associated with your "favorite folder" (use the same name for the favorite folder that we have been using in class) Apply log using command to tell stata that you are creating a log file to record the codes and the outcomes of these codes. Make sure your log file is called loghwa1_W25.smcl. Do not forget to include the replace option. iii. Get help for the "regress" command & include a screenshot of the outcome of this code iv. V. Open a stata file stored in STATA memory called pop2000.dta Continue from question iv. Save this file in your favorite folder (current working directory) using a different name & a replace option

Chapter 11 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

Knowledge Booster

Learn more about

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

The value of z at which the curve y = 1 2 π e − z 2 2 will be at the highest point.

Solution Summary: The author explains how to calculate the value of z at which the curve y=1sqrt2pi