4.2 At a given instant, a spacecraft is 500 km above the earth, with an RA of 3000 and Dec of 200 relative to the geocentric equatorial frame. Its velocity is 10 km/s directly north, normal to the equatorial plane. Find its RA and Dec 30 min later.
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3000 word report on 5 procurement method s with its defination. Implementation process with contractual and functional relationships, its variants, advantages and disadvantages
4. (15 points) The following graph plots the UC budget, the component funded by the state, against California Personal Income, both in billions of nominal dollars. A linear trendline has been fitted to the data. A. How would you describe the goodness of fit?
(30%) Suppose you buy a call option of a firm’s stock. The current price of the stock is $60, but the price will change next period, with a probability 70% of increasing to $120, and with a probability 30% of decreasing to $30. The exercise price for this call option is $70 at expiration (next period). Assume the interest rate is 5%. a) What is the present value of your expected profit? (Remember that is the price of the call option in today’s dollars) b) Now consider a three-period case: Suppose the stock price in the first period is still $60. In the second period, the stock price will increase to $120 with a probability 70%, and this price will continue to change in the third period, with a probability 40% of increasing to $150 and a probability 60% of decreasing to $100; in the second period, the stock price will go down to $30 with a probability 30%, and this price will also continue to change in the third period, with a probability 40% of going up to $65 and a probability 60% of going down to $20. The call option you buy will expire in the third period and the exercise price is still $70. The interest rate is still assumed to be 5%. Calculate the present value of your expected profit
+3n3 + An+5n3 +6n? +In +8 o(n)? Prove? o(2n +3n +An!+S3 +6n2 +7n + 8)7 Prove? 2. (4 marks Is 2n 3. (4 marks) Is n
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4. A rectangular bar 2 m long and 12.5 mm thick uniformly tapers from 100 mm at one end to 20mm at the other. If the bar is subjected to a tensile force of 25 kN, find its deformation. Take Eas 200 GPa
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