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Chitin is found in the _________ of fungi. cell walls plasma membrane chloroplasts

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The volume of the smaller solid shown in the figure below is 14.2 in$^3$. Find the volume $V$ of the larger solid.

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Imagine isolated DNA from an organism for which it is determined that 15 percent of the nucleotides are T. What percentage of the nucleotides are G?

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A coin sold for $229 in 1979 and was sold again in 1986 for $411. Assume that the growth in the value V of the collector's item was exponential.

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Specify the big-O complexity class for the function $5n^3 + n^3 \log_2 n - 2n + 27$. Use the formal big-O definition to prove your answer. The proof should include the values of the constants $c$ and $n_0$ and their justification.

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Determine whether each of the following are linearly independent list. (1) (1,0,0,0), (0, 1, 0, 0), (0, 0, 0, 1) is linearly independent in F4. (2) The list 1, z, z^2, ..., z^n is linearly independent in P (F) for each nonnegative integer n. O A. Only (1) is true. OB. None of the given answers is true. OC. Only (2) is true. OD. Both (1) and (2) are true.

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Q3. The pressure and temperature at the beginning of the compression are 1 bar and 27°C. Assuming an ideal engine in which the compression ratio and the expansion ratio for a C.I engine are $(15+\frac{n}{100})$ and $(8-\frac{n}{100})$ respectively. Determine the mean effective pressure, the ratio of maximum pressure to mean effective pressure and cycle efficiency. Also, find the fuel consumption per kWh if the indicated thermal efficiency is 50% of ideal efficiency, mechanical efficiency is 80% and the calorific value of diesel oil is 42000 kJ/kg. Assume for air: $C_p$ = 1.005 kJ/kg K; $C_v$ = 0.718 kJ/kg K, $\gamma$ = 1.4. Where n is the last two digits of student ID number [7 Marks]

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Laboratory: LMC Programming Exercises: 1- Write a program that will output the larger of two input values. 2- Write a program that stores two inputs and do multiplication, then output the result. Example INP1=3, INP2=4, OUT=12 Note: Decreasing the process time is highly desirable. 3- For the developed multiplication program try to multiply the following two numbers (2 * 100): -Try to enter 2 first then 100, observe the time required to obtain the answer. b-Try to enter 100 first then 2 and observe the time required to obtain the answer. c- Modify the code to shorten the time consumed in the longer process.

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Question 2 (10 pts): Hash Tables Answer the following questions about hash tables. a. Circle all of the correct answers, -1 pt for each incorrect answer) Given the following input (4322, 1334, 1471, 9679, 1989, 6171, 6173, 4199) and the hash function x mod 10, which of the following statements are true? • 9679, 1989, 4199 hash to the same value • 1471, 6171 hash to the same value • 4322, 1334, 6173 hash to the same value • All elements hash to the same value • Each element hashes to a different value b. (5 pts) Briefly describe the difference between conflict resolution by Chaining and conflict resolution by Open Addressing. List a few advantages and disadvantages of each.

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3. Real gas expansion. Recall in Joule (free) expansion of ideal gas into vacuum, the internal energy and temperature remain constant. Now let us consider van der Waals gas. (a) From the first law and the van der Waals equation of state, show that the internal energy of (one mole) van der Waals gas has the form $U = C_vT - \frac{a}{V} + U_0$ where $U_0$ is some constant. This is somewhat challenging, use your skills in partial derivatives, try your best. (b) From this show that in free expansion to vacuum ($U$ is constant), the gas cools.

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