Numerade

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(4) The volume of a certain liquid varies with temperature as: $$V(T) = V_{300} (0.75 + 3.9 \times 10^{-4} T + 1.48 \times 10^{-6} T^2)$$ Here $$V_{300}$$ is its volume at 300 K and T is temperature in K. Find the volume expansion coefficient of the liquid at 320 K. Hint: Examine the volume expansion coefficient definition carefully BEFORE crunching the numbers.

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The worker will be ineligible to receive 2 Multiple Choice 2 points An extended fraud alert lasts? 7 years. 180 days. 90 days. 24 months.

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What is a key characteristic of appetitive behavior as described in the text? It is solely about consummatory responses It does not involve any rewarding stimuli It is also known as reward-seeking behavior It only applies to food-related stimuli

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2. A quality control technician places a 20.0 mL sample of 0.600 mol/L of ethanoic acid (weak acid) CH$_3$COOH in an erlenmeyer flask. The technician titrates the sample with a standardized 0.300 mol/L solution of sodium hydroxide (a strong base). Predict the amount of unreacted ethanoic acid and the pH of the solution (8 marks) a) Before the titration begins b) At the equivalence point when 40.00 mL of NaOH has been added $K_a$ of ethanoic acid= 1.8 x 10$^{-5}$

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Find the cost function if the marginal cost function is $C'(x) = 9x - 2$ and the fixed cost is $11.\\ $C(x) = $

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Question 4 (3 pt.) Perform the following operations using the binary addition algorithm presented in class. For each operation, indicate whether it causes an overflow i) when interpreting the input operands and the result as 8-bit unsigned numbers, and ii) when interpreting the input operands and the result as 8-bit signed numbers in two's complement format. Explain what led you to these conclusions in each case. 11110001 a) + 00100010 01111000 b) + 00001010

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2.9 Find the complement of the following expressions: (a) xy' + x'y (c) (x + y + z')(x + y')(x + z) (b) (A'B + CD)E' + E

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Q4 The buck converter in Figure 04 has an input voltage $V_{in}$ of 36 V and supplies 25 W at an output voltage $V_{out}$ of 12 V. The PWM frequency at which TR1 switches is 120 kHz. The inductance of the choke L1 is to be set such that the peak-to-peak ripple current in it is 20% of its average current. $V_{in}$ OV TR1 D1 L1 $V_{out}$ Figure 04 2 Q4a Calculate the required inductance of the choke if the ripple current is to meet the specified value. 3% Q4b A core configuration using ETD29 ferrite core halves in 3C90 material is being considered as potentially suitable for the choke design. Data are given in Table 04. Table Q4 Effective area of magnetic path $A_e$ (mm²) 76 Effective length of magnetic path $l_e$ (mm) 72 Winding area presented by coil former $A_w$ (mm²) 95 Winding fill factor $k_w$ (-) 0.3 Maximum allowable flux density in core material $B_{max}$ (mT) 280 (This is estimated from manufacturer's graphical data with an appropriate overhead margin included.) If the choke is to exhibit the required inductance, and the flux density in the core material is not to exceed $B_{max}$, calculate • the number of turns required, • the effective permeability that the magnetic circuit formed by the gapped core-halves should present, • the current density in the winding (in A/mm² in the copper). For this calculation the ripple current can be neglected and the rms value can be assumed to be the same as the average value.

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1. (15%) Consider a market for a good or service of your choosing in your local town (be specific). Suppose you are planning to conduct a study of this market. a. List at least two specific factors that you believe would cause changes in market demand. Based on this, write out a hypothetical demand function (i.e., in equation form, write out how quantity demanded depends on price and the two factors you chose). The coefficients on your two factors should make economic sense. b. List at least two specific factors that you believe would cause changes in market supply. Based on this, write out a hypothetical supply function (i.e., in equation form, write out how quantity supplied depends on price and the two factors you chose). The coefficients on your two factors should make economic sense.

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Component in determining yield on short-term investments is a(an)? a. Cash Flows from the investment. b. Amount paid for the investment. c. Maturity or holding period. d. Support or enhancement. e. All of the above.

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