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a) i) Give an inductive formula for the sum of the first n odd numbers:
1 + 3 + 5 + ... + 2n -1
Show your induction process.
ii) Use the proof by mathematical induction to prove the correctness of your
inductive formula in i) above.
a 10kg mass is suspended from the end of a spring and released. If the spring oscillates in shm with a period of 0.5s Cal the energy given to the 10kg Mass if the amplitude of oxidation is 2cm?
According to Alaskan state economist Mark Edwards, the multiplier effect of Alaska’s trade with Japan is such that for every $1 billion exported from Alaska to Japan another $600million is added to the state’s economy.Matt Volz, “Trade Officials Hopeful for JapaneseRecovery,”Associated Press and Local Wire June 22, 2004, BC cycle.Calculate the size of the export multiplier
Use the production possibility frontier (PPF) to illustrate and explain the scarcity, choice
and opportunity cost of a farmer who is producing maize and sorghum. Use your own
values.
In Goa, India the multiplier effect of iron ore export is calculated to be 1.62. Vidyut kumar ta, iron ore mining gives impetys to Goa's economy Times of India, April 30 2003. Calculate the impact of an additional 1000 rupees of iron ore exports on the economy of Goa
A group of people were asked if they had run a red light in the last year. 302 responded “yes”, and 158 responded “no”
find the probability that if a person is chosen at random, they have run a red light in the past year.
What does atp stand for
A force of 9n acts along the positive x axis and a force of 4n acts in direction making an angle of 60⁰ with the positive direction of the x axis. What is the sum of the resolved forces along the x axis ?
A ball of mass m = 0.490 kg is dropped near the surface of the Earth. However, there exists an air resistance F = −βv, where β = 0.700 N · s/m. After a long time, the ball approaches a speed v. What is this speed?
suppose 100 refrigerator were manufactured during a day. ninety five operated perfectly and 5 had at least one defect. a sample of four is selected at random
#340153 on Dec 2023