F(x, y, z) = £ (0, 1, 2, 5, 8, 10, 13) %3D

2. RADIOACTIVE DECAY, REVISITED This is a modified version of chapter 1 problem 4 in your textbook. Consider the radioactive decay of nuclei A into nuclei B, which can then also decay. The numbers of each species as a function of time are given by N₁ (t) and NB (t), and the decay of each species is governed by¹: dNA dt == NA dNB NA NB = dt ΤΑ TB where T and T are the decay time constants for each type of nucleus.

Determine the value of b for the following: ii) (16)10 = (100) i) (292) 10 = (1204)

The liquid-liquid extraction process carried out at the Electrochemical Materials Laboratory involves the extraction of nickel (Ni) from the liquid phase into an organic phase. Data from laboratory experiments are given in the table below. Ni phase cair, a (gr/l) 2 2,5 3 Ni phase organik, g (gr/l) 8,57 10 12 Assume that a is the amount of Ni in the liquid phase, and g is the amount of Ni in the organic phase. Quadratic interpolation is used to estimate the value of g, which is given by the following formula: g = x1a? + x2a + x3 a. Find three simultaneous equations based on the data given by the experimental results. b. Use the Gauss Elimination method to get the values of x1, x2 and x3 and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase. c. Use the LU Decomposition method to get the values of x1, x2 and x3. and then estimate the amount of Ni in the organic phase, if 2.3 g/l of Ni is available in the liquid phase.

Example(2): Write program to find the magnitude of matrix multiplication A(2, 3) and B(3, 4)? 2 1 3 7 3 9| ||2 1 6 51 B(3, 4) 4 8 6 2- C(2, 4) 18 5 4 2 32 25 30 18 4(2, 3) 98 76 96 59

3. The velocity of a particle which starts from rest is given by the following table. t see) 0 2 8 10 12 14 16 v (fusee) o 12| 16 26 40| 44 25 12 18 Evaluate using trapezium rule, the total distance travelled in 18 seconds.

What is the value in al in a,b,c, and d? mov al,6Bhshr al,1             a. shl al,3             b. mov al,8Ch sar al,1             c. sar al,3            d.

Compute the following values of ψ(X, B), the number of B-smooth numbers between 2 and X. (c) ψ(50, 7)

choose: a) F(A,B,C,D)=∑(2,3,9,10,11,12,15) b) F(A,B,C,D)=∑(1,2,3,7,10,11) c) F(A,B,C,D)=∑(2,3,7,10,11,12,15) d) F(A,B,C,D)=π(2,3,7,10,11,12,15) e) Other: