Question: Two similar objects are left to cool for one hour. One starts at 80oC and cools to 70oC and the other starts at 60oC and

Two similar objects are left to cool for one hour. One starts at 80oC and cools to 70oC and the other starts at 60oC and cools to 55oC. Suppose the discrete-time dynamical system for cooling objects is linear.
a. Find the discrete-time dynamical system. Find the temperature of the first object after 2 hours. Find the temperature after 1 hour of an object starting at 20oC.
b. Graph the updating function and cobweb starting from 80oC.
c. Find the equilibrium. Explain in words what the equilibrium means.

Step by Step Solution

★★★★★

3.63 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a We have that T t1 70 when T t 80 and that T t1 55 when T t 60 The line connecting thes... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

808-C-L-D (860).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Researchers often use z tests to compare their samples to known population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test,...

The model of bacterial selection includes no frequency-dependence, meaning that the per capita production of the different types does not depend on the fraction of types in the population. Each of...

The discrete-time dynamical system bt+1 = 2.0bt with b0 = 1.0. The following steps are used to build a cobweb diagram. Follow them for the given discrete time dynamical system based on bacterial...

Please I want the second and third part of the assignment. thanks First, Create a C# Console project named YourInitialsAsn1 (such as hpAsn1 for a student named Harry Potter). Use the Solution...

6 : 1 4 1 HW 4 _ 7 cac 3 3 0 4 a 5 f 1 1 1 5 ba 0 d 3 e . . . Done Figure 2 . Top: Red, green, and blue channels of the image displayed in Figure 1 ( a ) . Bottom: Corresponding intensity histograms...

Save the file as JLottery2.java . 3. a. Create a game called Last Man Standing in which the objective is to select the last remaining JCheckBox. The game contains 10 JCheckBoxes. The player can...

a. Create a game called Last Man Standing in which the objective is to select the last remaining JCheckBox. The game contains 10 JCheckBoxes. The player can choose one, two, or three boxes, and then...

Which is an example of template matching? Question 1 5 options: Counting the overlap of pixels of two images The temporary comparison of lists of facts The alignment of the elements of two similar...

Using jaccard coefficient, find the most two similar objects in the following dataset. Att1 Att2 Att3 Att4 Att5 Att6 Att7 Att8 Att9 Object 1 1 0 1 0 1 0 0 1 1 Object 2 1 1 0 0 1 0 1 0 0 Object 3 0 0...

Write a Java program that compares if two JSON Objects are equal. You must use the sample code and least one of the following : method(s) with recursion, lists, stack. A sample code is provided for...

Jimmy Wong of Wong & Tran Construction Limited is feeling nervous. The anxiety is caused by a new excavator just released onto the market. The new excavator makes the one purchased by the company...

A and B are partners in a firm. The partnership deed provides that interest on drawings will be charged at 6% per year. During the year ended 31st December, 2019, A withdrew Kshs.2500 at the...

What are the main taxation provisions in the ITAA 1997 and ITAA 1936 for determining taxable income?

In a random trial, the odds in favour of success are pi 1 pi , where pi is the probability of success depending on an explanatory variable xi through the relation log pi 1 pi = ???? + ????xi. (a)...

A brokerage house offers three stock portfolios. Portfolio I consists of 2 blocks of common stock and 1 municipal bond. Portfolio II consists of 4 blocks of common stock, 2 municipal bonds, and 3...

Each matrix is an augmented matrix representing a system of linear equations in x, y, and z. Use the Gauss-Jordan elimination method (see Gauss- Jordan elimination method box and Example 1) to find...

1. If A is a 3 Ã 3 matrix and B is its inverse, what does the product AB equal? 2. If and Are C and D inverse matrices? -4 12 C= 0 6. -12 1. -2 4 2 1 -4 -2 2.

Explain with real life examples how budgeting assists in the following functions. a. Controlling b. Planning

Please help me with all parts (a,b,c,d) Finding operating and free cash flows Consider the balance sheets and selected data from the income statement of Keith Corporation that follow a. Calculate the...

"Boy, this is all so confusing," said Ryan as he stared at the papers on his desk. If only I had taken the advice of my finance instructor, I would not be in such a predicament today." Ryan Daniels,...