what is the transformation tempertaure a1 a3 of carbon iron ? .... C
L: R3 to R3 defined by L([a1 a2 a3]) = [a1 a2^2+a3^2 a3^2]. Prove that this is a linear transformation or not.
T: R3 to R 2 vector function.Is T a linear transformation or not defined by T(a1,a2, a3) = (0, a3 )
Matrix notation: A=(a1,a2,a3.....,an) = [a1 a2 a3 a4 .....an] are they equal? look at the sample picture A should be matrix but it uses ( ) rather than [ ] Given that A is an n×n matrix with the property AX = 0 for all X " 1 A=(a,,a,, 0 0 Let a.) Let e, =| | | ← ith element Comment
In a closed cylinder A1, A2 and A3 are the bottom, top and side surfaces respectively. The surfaces are maintained at uniform temperature of T1 = 300 [C], T2 = 200 (C) and T3 = 100 (C). If all surfaces are assumed black surfaces, determine the net radiation heat exchange between A1 and other surfaces (namely A2 and A3). D1 =16 [cm], D3 = 16 [cm] and L =20 [cm). A3 42 A1
Q8) Projects A0 and A1 and A3 are subject for evaluation-based om the incremental analysis MARR =15% A1-A0 = 18% A2-A0 = 20% A3-A0 = 25% A2-A1 = 10% A3-A1 = 22% A3-A2 = 23% Which to select A3 A1 A2 Should know cash flows are simple or not
A gene has four alleles, A1, A2, A3, and A4. The alleles occur in a population at the following frequencies: A1=0.2, A2=0.1, A3=0.4, A4=0.3. Compute the following: a) Probability that a single allele chosen at random is either A1 or A4 b) Probability than an individual as two A1 alleles c) Probability that an individual has one A1 and one A3 allele d) Probability that an individual is NOT A1A1 e) Probability that if we drew two individuals at random,...
1. Using the isothermal transformation diagram for an iron-carbon alloy of eutectoid composition, specify the nature of the final microstructure (in terms of microconstituents present and approximate percentages of each) of a small specimen that has been subjected to the following time-temperature treatments. In each case assume that the specimen begins at 760°C and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenitic structure (a) Rapidly cool to 400°C, hold for...
Problem 3 (20 pts): Using the phase diagram and isothermal transformation diagram for an iron- carbon alloy of eutectoid composition. Assuming that the specimen begins at 760-C and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenitic structure, answer the following questions: 1400 Eutectoid temerabre 1000 800 400 600 300 400 200 MC90%) 100 200 Time (s) We were unable to transcribe this image Problem 3 (20 pts): Using the phase...
Use mathematical induction to show that P(A1∩A2∩...∩An) = P(A1)P(A2|A1)P(A3|A1∩A2)....P(An|A1∩A2∩...∩ An-1) You can assume that you know P(A|B) = P(A|B)P(B)
The phase diagram for the iron-carbon Fe-C system is shown below. use it to answer the following questions a) How many different solid allotropes (phases) does pure iron have? b) what is the maximum carbon solubility of carbon in austentite? c) what is the maximum carbon solubility of carbon in ferrite? d)On cooling the following phase reaction occurs at 0.76% C and 727*c y--> alpha + Fe3C. On cooling what phase reaction occurs at .16% C and 1493*c? e)For a...