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QUESTION 2 [9 MARKS] (a) Find the first and second partial derivative with respect to x of the following expressions i. ax'+bx+c ii. x tan(x+y)

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QUESTION 2 [9 MARKS] (a) Find the first and second partial derivative with respect to x of the following expressions i. ax'+bx+c ii. x tan(x+y) (3 Marks) [CO3, PO5, C3] 2 BKC20211/BKF2143 (b) The relationship of viscosity of gases (n) with temperature is given by the following equation (Eq-1): 271 n = Tabs + b (Eq-1) where "Tabs", is the temperature in K, and a and b are constants. If the values of Viscosity of gases (n)=0.0025 kg/m.s Tabs = 350 K b = 22 Write the code using symbolic commands to calculate the value of "a". Replace all the values so programme can calculate the value of "a" (3 Marks) [CO3, PO5, C3] (c). There are three persons who want to build wooden furniture's for their new homes in Kuala Lumpur. The number of items and total payment is given in Table-2. The first person had bought following number of sheets, 4 MDF, 5 Particleboard and 3 Plywood and have paid RM 1525. The second person had bought 3 MDF, 6 Particleboard and 4 Plywood and has paid RM 1600. The third person had bought following items 6 MDF, 3 Particleboard and 2 Plywood and has paid RM 1475. Find out the cost of individual sheets of MDF, Particleboard and Plywood. Table 2: Data on number of sheets and total payment Items A B C MDF 4 3 6 Particleboard 5 6 3 3 4 2 Plywood Total price (RM) 1525 1600 1475 I. Set up the systems of equations for the items purchased by different individuals (Hint:MDF = x, Particle board = y, Plywood = z) 3 BKC20211/BKF2143 II Determine the cost of MDF, Particleboard and Plywood by solving the equations using

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