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A certain full-wave rectifier has a peak output voltage of 30 V.A 50 Î¼F capacitor-input filter is connected to the rectifier. Calculate the peak-to-peak ripple and the dc output voltage developed across a 600 flload resistance.

Polyunsaturated fatty acids in the diet favorably affects several risk factors for cardiovascular disease. The principal dietary polyunsaturated fat is linoleic acid. To test the effects of dietary supplementation with linoleic acid on blood pressure, 17 adults consumed 23 g/day of safflower oil, high in linoleic acid, for 4 weeks. Systolic blood pressure (SBP) measurements were taken at baseline (before ingestion of oil) and 1 month later, with the mean values over several readings at each visit given in Table 9.12.

TABLE 9.12 Effect of linoleic acid on SBP

Perform the test in Problem 9.17, and report a p-value.

Soil infiltration characteristics (based on Horton's equation) and an observed 4-hr duration rainfall values for a 100 ha parkland catchment are given below:

Â i Calculate the total depth of infiltration ii. What is the total volume of runoff in m3 for the observed rainfall iii. EstimateÂ Î¦ index of the catchment

4) Consider a spherical tumor, of radius R_{T}, releasing the angiogenic factor VEGF into the surrounding tissue. Assume the tumor is an infinite source of VEGF at the concentration C_{T}, and this drops to 0 as r approaches infinity. Determine the concentration gradient outside the tumor as a function of r, in the absence of convection.

5) Consider the tumor of the problem (A), but with a known flux at the tumor perimeter of J_{T}.

Background:Â Metallgesellschaft AGÂ was formerly one of Germany's largest industrial conglomerates based in Frankfurt. It had over 20,000 employees and revenues in excess of 10 billion US dollars. It had over 250 subsidiaries specializing in mining, specialty chemicals (Chemetall), commodity trading, financial services, and engineering (Lurgi). In 1993, the company lost 1.3 billion dollars suffering from flawed long hedge strategy in near term futures contracts that was meant to protect against forwarding sales commitments. A fall in spot prices forced margin calls for the company and the contracts were closed at a loss. Subsequently, the spot price increased and the company suffered even greater losses covering its customer commitments. It is debated whether the company was speculating after unwinding the long futures hedge since they became essentially exposed or naked against their forward customer commitments. â€“ from WikipediaÂ [https://en.wikipedia.org/wiki/Metallgesellschaft]

The following illustrates how important it is to consider the tailing factor in taking a correct hedge strategy. 0.5 marks for filling each blank.

Suppose the current spot price is $3. With 50 percent of the probability, the spot price will increase or decrease by 1 dollar for the first year and then remain the same as shown in the graph below.

Please answer the following questions.

If the annual discrete compounding risk-free rate is 10%, and the cost of carrying offsets the convenience yield exactly, then the future price is equal to the spot price. Please explain. [1 mark]

A stream of pure cyclopentane vapor flowing at a rate of 1.55 m3/s 150 â—¦C and 1 atm enters a cooler in which 55% of the feed is condensed at constant pressure.

(a) What is the temperature at the condenser outlet? Explain how you know (a single sentence should suffice).

(b) Prepare and fill in an enthalpy table (of flow and enthalpy of each stream, based on the assumed standard state) and calculate the change in enthalpy âˆ†HÂ =Â Hout âˆ’Â Hin.

The cue gives the cue ball A a velocity parallel to the y-axis. The cue ball hits the eight ball B and knocks it straight into the corner pocket. If the magnitude of the velocity of the cue ball just before the impact is 2 m/s and the coecient of restitution is e = 0:9, what are the velocity vectors of the two balls just after the impact? (The balls are of equal mass.)

Transcript: What is the maximum power that can be delivered to RL? What value of RL enables this maximum power transfer? Find the power absorbed by the dependent source. Find the Thevenin equivalent circuit at terminals a and b.

Transcript: 1) Let X be a vector space and p:X â†’ R be a functional such that (1) p(x + y) s p(x) + p(y) Vxy e X (ii) p(ax) = |a|p(x) Va â‚¬ R,x â‚¬ X Show that IP(x) - P(y)= p(x - y) Vx, y + X