4. (6 pts) clear x-input(' änput the number X if(length (x) >1 IM<-0) else : end...
1) 2) 3) integer A, B; input (A): while (A> 0) 5) A=2*A; 6) i (A < 20 or A> 30) 7) 8) 9) 10 lse B-A 2, 12) B-A 2 13) 14) output (A, B): 15) input (A): 16) end;
>> x = 0; y = 1 >> while y < 40 x = x + 1; y = y + 2^x; end >> disp(x), disp(y) 4. >> f = @ (x, y, z) sqrt ((x + y)/z); >> f(6, 12, 2) >> f(20, 16, 1) 5. >> A = [1 2; 1 -2]; >> B = [3; 5]; >> D = det(A) >> C = inv(A) * B
3x +6, if x so (8 pts) 5. Sketch the graph of f(x)= 1 *+3, ifr>0 (9 pts) 6. The number of grams Q of a substance after 7 hours is given by Q=Qe6291How long will it take for 100 grams of the substance to decay to 60 grams? Round your answer to 3 decimal places. [1 27 (9 pts) 7. Find A ', by hand, if A = 1 2 5 -1 1 2
4. 흙 y(0, 1) = y(5, t) = 0 for t-> 0 y(x, 0)-0, at (x, 0) g(x) for 0 < x where gx)5xfor 43 xS5. 5 for 0s x <4 0
[15] 5. (X, Y) have joint density (22 + y?) 0<*<1 0<y<1 f(x, y) else find the marginals fx(x) and fy (y).
A sequential circuit has one input (X), a clock input (CLK), and two outputs (S and V). X, S and V are all one-bit signals. X represents a 4-bit binary number N, which is input least significant bit first. S represents a 4-bit binary number equal to N + 3, which is output least significant bit first. At the time the fourth input occurs, V = 1 if N + 3 is too large to be represented by 4 bits;...
3x + 6, if x so (8 pts) 5. Sketch the graph of f(x)= x+3, ifx>0
NIS 4) The joint pdf of X and Y is 1, 0<x<1, 0<y< 2x, fx,8(8,y) = { 0, otherwise. otherwise. or 1 (Note: This pdf is positive (having the value 1) on a triangular region in the first quadrant having area 1.) Give the cdf of V = min{X, Y}. x
Measurements #6. The relation between input Ti and output X of a liquid bulb thermometer is given by: dx 23.0dt + 2.0-2.0 Ti measured in mm and Ti is the input measured in is 0 mm. The meter is under a step input from 0 oC (at 0) to 90 oC (t> 0). Find the reading of the where X is output oC. Find time constant and static sensitivity of the instrument (3 +2 pts). At 0 oC the X...
(10 pts) The joint distribution of X and Y is given by: f(x,y) = 1/y, 0 < x < y < 1. Derive the distribution of Z= Y/X. You must use both the methods (CDF & Transforma- tion).