Q−3: [5×4 marks]
a. Find a, b if a+2b=107 mod 9 and 2a+b=-55 mod 7.
b. Write the prime factorization of 229320 and 49140, hence find
GCD and LCM.
c. Convert the following number (1303)4 to base 5.
d. Using the Prime Factorization technique determine whether 173 is
a prime.
e. Use the cipher: f(x)=(x+7) mod 26 to decrypt “THAO ALZA”.
a)
State the 3 parameters needed for design a circular curve. b) Describe the possible traditional methods for setting out
circular curves. c) Describe the two types of transition
curves and comment on the use of them. d) Describe the
two main requirements in the design and construction of vertical
curves.
Design a logic circuit that takes 2-bit input A and 2-bit input
B and subtracts the two numbers using full adders and inverters
with full adders diagram, which input is subtracted dos not
matter.
Consider a Si NPN BJT. Discuss how an change in one of
the design parameters affect the emitter injection efficiency, the
base transport factor, the common emmiter current gain, and the
early voltage. Assume complete ionization. Further assume the
carrier mobility and the minority carrier lifetime are independent
of the change in design parameters.
(a) Increase emitter doping
(b) Increase base doping
(c) Increase base width
(d) Increase collector doping
Units Demanded: Q = 500-40P Total Cost = 300 + Q Price Per Unit
= 6 Find: Q, Revenue, and Profit Negative Externality Unit Cost = 2
Recalculate Revenue and Profit if Costs are Internalized and i)
passed on to consumers, or they are ii) absorbed by the firm.
The unit cell parameters for the mineral pyrite, FeS2, are
a=b=c= 5.471 and a(alpha)=b(beta)=c(gamma)= 90 degrees, Why is the
structure's space group listed as the triclinic, not cubic, P1?
Q: 6 Design an educational program for changing the
social distancing behaviour of students according to the prevention
and control of COVID-19 based on the transtheoretical model of
change. With at least 2 references, at least 4-5 line
answer