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solve y=sin(x+c) for c with 2 given values for x and y
Q.5 (a) Sketch the graph of the curve given by

f(x=x2-5x+6)
Question: 595 - 210 x (470 - 477) - 818 = ?
Show that a principal right ideal aR in a ring R is projective as a right R-module iff annr(a) is of the form eR where e is an idempotent of R
Does every simple ring have IBN?
Let I be an ideal of a ring R contained in rad R (the Jacobson radical of R). Show that R is stably finite iff R/ I is.
Show that a ring R is not Dedekind-finite iff there exists an idempotent e in R such that eR isomorphic R as right R-modules.
Is every von Neumann regular ring von Neumann finite?
Show that, if M_R is an artinian module, then M is cohopfian.
MBA Industries Ltd. must decide whether to build a large or small plant to produce a new product which is expected a market life of 10 yrs. A large plant will cost Shs. 28,000,000 while a small plant will cost only Shs. 14,000,000.The company’s best estimate of the distribution of sales over the 10yrs period is:High demand with probability = 0.5,Moderate demand = 0.3,Low demand with probability = 0.2.Cost –Volume profit analysis done by MBA Industries Ltd management indicates these conditional outcomes under the various combinations of plant size and market size.
a) A large plant with high demand wd yield 10 m/= annually .
b) A large plant with moderate demand 6,000,000/= annually in profits.
c) A large plant with low demand would lose 2,000,000/= annually because of production inefficiencies.
d) A small high demand would yield only 2,500,000/= annually
e) A small plant with moderate demand would yield 4,500,000/=
f) A small plant with low demand yield 5,500,000/= annually
What should MBA mgt do
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