Is a Child Behavior Better or Worse Than It Was Years Ago? (Article)

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SUBJECT: NUMERICAL METHODS CODE: BUM2313 FACULTY OF INDUSTRIAL SCIENCES & TECHNOLOGY INSTRUCTION: Use MATHEMATICAL SOFTWARE such as EXCEL/ MATLAB/ MAPLE/ C to facilitate the computation. SUBMIT the solution in HARDCOPY & SOFTCOPY. Please save the solution in CD for softcopy. Do the assignment in group and each group consists of five members. QUESTION 1 The nonlinear resistive circuit shown below is described by the nonlinear equation TOPIC: CHAPTER 1, 2,3 & 4 DUE/DURATION: ASSESSMENT: ASSIGNMENT 2nd May 2014 (before 5 P.M) WEEK 11 MARKS:

100

f ( x)  g ( x) 

( E  x) 0 R

The function g ( x) gives the current through the nonlinear resistor as a function of the voltage x cross its terminals as shown in the following Figure 1.

Figure 1 Assuming that g ( x)  9sin( x  5)  10

and consider the three following cases: Case 1: E  5, R  1, Case 2: E  15, R  3, Case 3: E  4, R  0.5. (a) (b) (c) By using an appropriate method that you have learned in this course, find all the solutions of the nonlinear resistive circuit equation for the all cases. Select suitable starting points for xl and xu by plotting f over the interval [0,4] for the all cases, and visually selecting a good starting point. Find the lowest root over the the interval [0,4] by using (i) Bisection method and (ii) False position method. Use the starting points xl and xu in (b) and terminate the computation if  a  104. (For (a) and (b) use two decimal places, for (c) use eight decimal places) (20 Marks)

QUESTION 2 In the design of all – terrain vehicles (ATV), it is necessary to consider the failure of the vehicle when attempting to negotiate two types of obstacles. One type of failure is called hang-up failure and occurs when the vehicle attempts to cross on obstacle that causes the bottom of the vehicle to touch the ground. The other type of failure is called nose-in failure…...

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