For questions 4 – 7 consider the function z=9-2x+4y –x² – 4y? 4. The expressions for and are 5. A stationary point for z is 2 6. %3D ôx² ay? дхду 7. The stationary point in no.5 is a(n)
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- 2 0 2 5 7 11 f(x) 13 5 17 28 41 Selected values of a differentiable function f are given in the table above. What is the feweSolve the following differential equation: y'"-2y' +y= e*Inx Select one: a. YG.s=C;Xe¯*+Czx²e*+e* Jinx+ xe-* [Inx = C, sinx+ c>cosx+ sinx Inx+cosx /Inx b. YG.S c. None O d. YG.s=C,xe*+czx²e*-e* ] xInx+e* ]x?inx YG.s=Ce*+c2xe* - e* | xlnx+ xe* | Inx е.From the image below, and using the given datum, match the variable expressions to their position coordinates, SA, SB and SC, where s A is for block A, $3 is for pulley B, and so is for pulley C. If an expression does not match any position coordinate, then match it to the "None" option. 1.k-q 2.0 3.p 4. k SA Datum bc SC k ✓ None SB ФВ A Р ⒸOF
- Q1 / Reduce the block diagram to the simple form R(s) S 13 S 0. S 1 S C(s)The natural exponential function can be expressed by . Determine e2by calculating the sum of the series for:(a) n = 5, (b) n = 15, (c) n = 25For each part create a vector n in which the first element is 0, the incrementis 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare thevalues obtained in parts (a), (b), and (c) with the value of e2calculated byMATLAB.6 108 polynomial is used to approximate v8, the answer is: dy 13. of the parametric equations x: 2-3t 3+2t and y =- is dx Use the following information for Questions 14 and 15: 1+t 1+t Using the Newton-Raphson method to determine the critical co-ordinate of the graph y=f(x)=(x)*an (*) (in words x to the power of tan (x)), you will be required to determine f'(x) 14. The expression for f'(x) is: The following tools were required in determining an expression for f'(x): Application of the natural logarithm 15. I. II. The product rule III. Implicit differentiation
- A magic square is an arrangement of n numbers into n rows and n columns using distinct numbers from 1 up to n² such that the sum in any row, any column or any of the two diagonals is fixed. Consider the 4 by 4 magic square below: aj a5 2 13 a2 10 11 a7 аз6 а4 12 4 15 a6 1 What is the value of a4 ? 07 O 5 O 16 A Moving to the next question prevents changes to this answer. Question 1 of 3> P Type here to search 9:47 PM 29°C 30-Nov-21 backspe E F C shift alt ctriThe values of p and h which renders (makes) the following set of equations dynamically and statically decoupled are, respectively. k,+k2 5 p+4 x1 = 0, X2 7 h+1 + [7h+1 J+e 5 p+4 J+e h= -0.214 and p = -1.76 h = -0.143 and p= -0.8 h = -0.281 and p= -1.2 h = -0.081 and p = -0.536QUESTION 4 Solve the following differential equation in Matlab using ode45.m. Use time interval of 0.1 second. (Don't use options in ode45 to change teh tolerance.) do (t) dt - cos = sint 0(0)=0. What is e(t=4.1)? ○ 0.871 -0.212 1.44 1.28 2.01 3.19
- 2-the pivot value is the point of the intersection of the row of the leaving variable and the column of the solution. * true falsemathforadmi..2dff1dd723 PTU Kadoorie sygini 1930 Technical Department of Applied Mathematics Second Semester 2020/2021 Math for Administration Assignment 2 Question 1 For the function: y = 0.01x- 0.001x² Find the zeros, the vertex and the optimum value (max. or min.) Question 2 Suppose a company has fixed costs of $300 and variable 3 costs of x + 1460 dollars per unit, 4 where x is the total number of units produced. Suppose further that the selling price of its product is 1500 X- ♡ lar Fine break-even points. init. II جامعة Palestine ||Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB: dTglass = -0.75Tgtass + 0.75TpvT (1) dt - 1.187glass – 22Tpyr + 23Twax (2) dt dTwax 12Tglass + 18TpyT – 19 Twax (3) dt Where, Tgtass , TPVT, and Twax, are temperatures illustrated in Figure 1(b). At time t-0 the initial conditions are Tglass = 35 , Tpyr = 33, and Twax = 31 °C. Cold suppty In frem water Tank Glass PVT Espann Nane-PCMPVT Collector Wax Tubes Sterg Tank Nanofluid Heat Exchanger Contalner Tepe Teek oe Pump for drain