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prove that sin (degree(m)) is an algebraic number of any integer m.
prove that sin (degree(1)) is an algebraic number
prove that the product of two algebraic integers is an algebraic integers
It is the most common model for relative frequencies of a continuous random variable.
prove that the sum of two algebraic integer is an algebraic integer
A cyclotron for accelerating protons has a maximum radius of 0.600 m and has a magnetic field of 0.150 T.
(A) what is the cyclotron frequency?
(B) what is the kinetic energy of the protons when they emerge?
Mass (m) proton = 1.67×10-²⁷kg
Charge (q) proton = 1.60×10-¹⁹C
U.S. economic growth had slowed to a crawl, and then to a halt. Companies that had stocked up on recent college grads in the tighter labour markets of 1998-2000 found themselves with more than they knew what to do with in 2002 and 2003. They were not eager to hire more. Bonuses and other “perks” disappeared; job offers became scarcer. With the unemployment rate around 6% in May and June of 2003, the job market was far from the worst ever. But it was nothing like the glory days of 2000.
i) Briefly explain and justify what prevailing situation was taking place in the year 2000.
(ii) Identify and explain two (2) fiscal policies and two (2) monetary policies that the US government may have used to correct this situation.
Let R = {(0,1),(0,2),(1,1,),(1,3),(2,2),(3,0)} be a relation defined on
A = {0,1,2,3}.Find the zero-one matrix of transitive closure of R.
- Identify the enzymes secreted by the pancreas. Describe the concept of zymogens.
- Discuss the sequential digestion of proteins, by gastric pepsin, pancreatic enzymes and duodenal enteropeptidase at the apical membrane of the small intestine.
- Explain membrane transport mechanisms for amino acids and dipeptides by intestinal epithelial cells.
- Describe the sequence of events in the colon and anal sphincter occurring during reflective defecation differentiating those movements under voluntary control and those under autonomic control
Write the electron configuration for magnesium (A=12) and potassium (A=19). Draw their orbital diagrams.
