Explanation Given Information: The water is being pumped into a rectangular swimming pool of uniform depth at 10 ft 3 /hr and the pool is 10 ft wide and 25 ft long. Formula used: The volume of a cuboidal of dimension length l , width w and height h is given by, V = l b h According to the chain rule differentiation, if y = f ( u ) , where u = g ( x ) , then y is a differentiable function of x. d y d x = d y d u ⋅ d u d x The derivative of a constant value, k , is d d x ( k ) = 0 Calculation: The volume of a cuboidal of dimension length l , width w and height h is given by, V = l b h Now, as provided that the pool is 10 ft wide and 25 ft long, thus, substitute 10 for w and 25 for l in above equation to get, V = (

MATHMATICAL APPLICATIONS FOR THE MANAGEM

11th Edition

ISBN: 9781305758063

Author: HARSHBARGER

Publisher: CENGAGE C

See similar textbooks

Question

Chapter 11.4, Problem 39E

To determine

To calculate: The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft3/hr and the pool is 10 ft wide and 25 ft long.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.4, Problem 38E

Chapter 11.5, Problem 1CP

Students have asked these similar questions

Calculs Insights πT | cos x |³ dx 59 2

2. Consider the ODE u' = ƒ (u) = u² + r where r is a parameter that can take the values r = −1, −0.5, -0.1, 0.1. For each value of r: (a) Sketch ƒ(u) = u² + r and determine the equilibrium points. (b) Draw the phase line. (d) Determine the stability of the equilibrium points. (d) Plot the direction field and some sample solutions,i.e., u(t) (e) Describe how location of the equilibrium points and their stability change as you increase the parameter r. (f) Using the matlab program phaseline.m generate a solution for each value of r and the initial condition u(0) = 0.9. Print and turn in your result for r = −1. Do not forget to add a figure caption. (g) In the matlab program phaseline.m set the initial condition to u(0) = 1.1 and simulate the ode over the time interval t = [0, 10] for different values of r. What happens? Why? You do not need to turn in a plot for (g), just describe what happens.

The following are suggested designs for group sequential studies. Using PROCSEQDESIGN, provide the following for the design O’Brien Fleming and Pocock.• The critical boundary values for each analysis of the data• The expected sample sizes at each interim analysisAssume the standardized Z score method for calculating boundaries.Investigators are evaluating the success rate of a novel drug for treating a certain type ofbacterial wound infection. Since no existing treatment exists, they have planned a one-armstudy. They wish to test whether the success rate of the drug is better than 50%, whichthey have defined as the null success rate. Preliminary testing has estimated the successrate of the drug at 55%. The investigators are eager to get the drug into production andwould like to plan for 9 interim analyses (10 analyzes in total) of the data. Assume thesignificance level is 5% and power is 90%.Besides, draw a combined boundary plot (OBF, POC, and HP)

Chapter 11 Solutions

MATHMATICAL APPLICATIONS FOR THE MANAGEM

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

The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft 3 /hr and the pool is 10 ft wide and 25 ft long.

Solution Summary: The author calculates the rate at which the water is rising when it is 4ft deep.

To calculate: The rate at which the water is rising when it is 4 ft deep if the water is being pumped into a rectangular swimming pool of uniform depth at 10 ft3/hr and the pool is 10 ft wide and 25 ft long.

Want to see the full answer?

Chapter 11 Solutions