When a red-hot steel rod is plunged in a bath of water that is kept at a
Question:
When a red-hot steel rod is plunged in a bath of water that is kept at a constant temperature 10C, the temperature of the rod at time t, f (t), satisfies the differential equation y′ = k[10 - y], where k > 0 is a constant of proportionality. Determine f (t) if the initial temperature of the rod is f (0) = 350°C and k = .1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
y 110y y0 350 y ly1 at 1 bt ...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Calculus And Its Applications
ISBN: 9780134437774
14th Edition
Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar
Question Posted:
Students also viewed these Mathematics questions
-
In predictive coding, we have the following code. Show how we can calculate the reconstructed value (yn) for each sample if we use delta modulation (DM). We know that y 0 = 8 and = 6. 1 2 3 4 5 7 8...
-
Determine for the following functions. Then give the horizontal asymptote(s) of f (if any). lim f(x) and lim f(x) 3 4x + 1 f(x) 2r3 + V16x6 + 1
-
Rework Exercise 13 for a metal with a constant of proportionality k = .2. Which rod cools faster, the rod with a constant of proportionality k = .1 or the rod with a constant of proportionality k =...
-
A coil with 190 turns, a radius of 5.0 cm, and a resistance of 12 Ω surrounds a solenoid with 230 turns / cm and a radius of 4.5 cm (Fig. 21-65). The current in the solenoid changes at a...
-
True Printing Company of Baltimore has applied for a loan. Its bank has requested a budgeted balance sheet at April 30, 2016, and a budgeted statement of cash flows for April. The March 31, 2016,...
-
Your firm is the auditor of Zhaos Charity for Pensioners. The charity was formed many years ago from a large gift by the Zhao family, the income from which is used to pay pensions to needy people....
-
A four cylinder two stroke petrol engine with stroke to bore ratio of 1.2. develops \(32 \mathrm{~kW}\) bp at 2500 r.p.m. The mean effective pressure on each piston is 8 bar and the mechanical...
-
In each case that follows, qualitative characteristics and accounting conventions may have been violated. 1. Elite Manufacturing Company uses the cost method for computing the balance sheet amount of...
-
Suppose you observed that one-year T-bills are trading with a yield to maturity (YTM) of 4.75%. The yield spread between AAA and BB rated corporate bonds is 130 basis points. The maturity yield...
-
The differential equation y = .5(1 - y)(4 - y) has five types of solutions labeled AE. For each of the following initial values, graph the solution of the differential equation and identify the type...
-
Suppose that substance A is converted into substance B at a rate that, at any time t, is proportional to the square of the amount of A. This situation occurs, for instance, when it is necessary for...
-
Monthly Craft Magazines ledger includes the following accounts: Subscription Revenue, Unearned Subscriptions Revenue, Prepaid Insurance, Insurance Expense, Prepaid Rent and Rent Expense. The...
-
The point of law that prevents oral changes to a written contract from being legally enforceable. a. administrator b. antenuptial or prenuptial a greement c. auctioneer d. executor e. guaranty f....
-
A political candidate has written an op-ed piece in which they claim that the U.S. government debt has continually grown and is out of control. The candidate includes the following graph as evidence....
-
Property other than land and items permanently attached to it. a. administrator b. antenuptial or prenuptial a greement c. auctioneer d. executor e. guaranty f. memorandum g. parol evidence rule h....
-
The law that requires certain types of contracts to be in writing. a. administrator b. antenuptial or prenuptial a greement c. auctioneer d. executor e. guaranty f. memorandum g. parol evidence rule...
-
Land and items that are permanently attached to it. a. administrator b. antenuptial or prenuptial a greement c. auctioneer d. executor e. guaranty f. memorandum g. parol evidence rule h. personal...
-
Is the enthalpy change of the reaction H2O() ( H2O(g) zero or nonzero? Use data in Table 7.2 to determine the answer.
-
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
-
Use the appropriate applet to construct a simulated null distribution using the MAD statistic. Mark the observed MAD statistic calculated in the previous question on this graph. Th e name of the data...
-
Are the validity conditions met to complete a theory-based ANOVA test for these data? Explain. If the conditions are met, use a theory-based ANOVA test to find a p-value for this test. The following...
-
Are the validity conditions met so that we can perform follow-up analyses using theory based techniques? Explain. The following table provides descriptive statistics on the measurements for...
-
1 . What were the problems faced by Income in this case? How were the problems resolved by the new digital system? 2 . What types of information systems and business processes were used by Income...
-
A distant cousin of yours had inherited some money so he was able to realise his life long ambition to set up in business and sell that well known financial publication, the National Review. He put R...
-
Is Mr . Nikhil, a non - resident, liable to pay taxes in India for the financial year 2 0 2 2 - 2 3 based onthe following transactions: ( a ) He received Rs 2 0 lakhs for the use of a patent for a...
Study smarter with the SolutionInn App