Numerade

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Consider the language L of all strings made of the symbols 0, 1 and 2 (Σ = {0, 1, 2}) that contain the sequence 012 as a substring. a. [1 marks] Formally write down the alphabet of the language. b. [1 marks] Give one example of a string that is constructed from the correct alphabet, has a length of 6, and that is in L. Likewise, also give one example of such a string that is not in L. c. [2 marks] Construct an FA whose language is L. d. [2 marks] Give a Regular Expression (RE) for L. e. [2 marks] From the RE, build a Context-Free Grammar (CFG) for L. f. [2 marks] From the FA, build a regular grammar for L.

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6. Disappears during full contraction 7. Width narrows during full contraction 8. Area consisting of only thin filament 9. Contains crossbridges 10. Width does not narrow (unchanged) during full contraction

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8 7 6 5 4 Average Total Length (mm) 3 2 1 0 Low Fish High Fish Rearing Condition Pond A Pond B Pond C Pond D

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All of the following are true of the myelin sheath EXCEPT: it insulates dendrites it influences acquisition of cognitive ability in children it prevents the dissipation of electrical signals along axons it comprises white matter

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An organism that derives its energy from sunlight, and uses organic chemicals such as glucose as its source of carbon is known as a(n)

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Cable television is best an example of: toll good private good common good public good Cable television is best an example of: toll good private good common good public good

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(3 points) Fit a trigonometric function of the form $f(t) = c_0 + c_1 \sin(t) + c_2 \cos(t)$ to the data points $(0, -14)$, $(\frac{\pi}{2}, -15)$, $(\pi, 0)$, $(\frac{3\pi}{2}, -7)$, using least squares.

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A basketball court is represented on a coordinate plane where the x-axis represents length, in feet, and the y-axis represents width, in feet. 6. What is the length of the basketball court, in feet?

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2) To measure the average temperature of a room, 3 different types of temperature sensors are placed in three different locations of the room. For these sensors we are given: NTC: $R_T = R_0 exp[B(\frac{1}{T} - \frac{1}{T_0})]$. The datasheet specs are given as: Resistance at 25°C is 10 k?; B=4000 K. RTD: $R_{RTD} = R_0(1 + \alpha T)$ with $\alpha$=0.004/°C and $R_0$ = 100?. AD 590 IC sensor with $I_T$ = 1?A/K. a) Suggest/draw a suitable circuit to measure the average temperature of the room and explain the operation/functioning of the circuit. (Note: You can draw open or block diagram) b) Obtain the expression of the temperature sensitivity of the output signal of your circuit. Calculate the sensitivity for a temperature value of 30 °C.

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For these problems, do not use the TVM keys on your calculator 1) You are investing $100 today. How much will you have in 8 years if you earn 6% per year? 2) You are investing $80,000 today. How much will you have in 20 years if you earn 5% per year? 3) What is the present value of $10,000 paid 8 years from now discounting at a rate of 12%? 4) If you want to have $40,000 6 years from now, how much must you invest today if you expect a return of 8%? 5) You invest $10,000 today and end up with $14,000 two years from now? What was your annual return? 6) You have $25,000 to invest now and want to have $60,000 sometime in the future. If you earn 8% on your investments, how long will this take?

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jenny m.