Numerade

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Using properties of the integral, we know the following. $$ \int_{0}^{12}\left(41+10 \sin \left(\frac{\pi t}{12}\right)\right) d t=\int_{0}^{12} 41 d t+10 \int_{0}^{12} \sin \left(\frac{\pi t}{12}\right) d t $$ By evaluating the first integral, we get $$ \int_{0}^{12} 41 d t=\left[\begin{array}{ll} 492 & \end{array}\right]_{0}^{12} $$ $$ =492 $$

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The radius of gyration of a single solvent-swollen polymer chain is 450 Å. Calculate the polymer density inside the particle if the molar mass of the polymer is M = 2.6 ´ 107 g/mol.

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Two identical flasks kept at the same temperature contain equal masses of gases. The pressure in the first flask containing only gas A is half the pressure in the second flask, containing only gas B. Which of the following statements is correct? The molecular weight of A is twice that of B The molecular weight of A is half that of B The molecular weight of A is 4 times that of B. The molecular weight of A is 1/4 times that of B. The molecular weight of A is 2RT times that of B

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Northern Company acquired Southern Company. The purchase price included all Southern's assets and liabilities and was in the amount of $ \$ 600,000 $. Below is information related to the two companies. How much goodwill will Northern report in its acquisition of Southern? \begin{tabular}{lrr} & Northern & Southern \\ Yair value of assets & $ \$ 1,050,000 $ & $ \$ 800,000 $ \\ Yair value of $ 11 a b 111 $ ties & 575,000 & 300,000 \\ Reported assets & 800,000 & 650,000 \\ Reported 11ab1lities & 500,000 & 250,000 \\ Met incone for the year & 60,000 & 50,000 \end{tabular} $ \$ 100,000 $ $ \$ 150.000 $ $ \$ 200,000 $ $ \$ 300,000 $

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HW3-P5 The linkage consists of two 8-lb rods AB and CD and a 10-lb bar AD. When $\theta = 0^\circ$, rod AB is rotating with an angular velocity $\omega_{AB} = 2$ rad/s. If rod CD is subjected to a couple moment $M = 15$ lb\cdot ft and bar AD is subjected to a horizontal force $P = 20$ lb as shown, determine $\omega_{AB}$ at the instant $\theta = 90^\circ$.

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Please provide 10 signed decimal integers. Each number needs to be small enough to fit inside a 32 bit register. After you have finished inputting the raw numbers I will display a list of the integers, their sum, and their average value. Please enter an signed number: 156 Please enter an signed number: 51d6fd ERROR: You did not enter a signed number or your number was too big. Please try again: 34 Please enter a signed number: -186 Please enter a signed number: 115616148561615630 ERROR: You did not enter an signed number or your number was too big. Please try again: -145 Please enter a signed number: 16 Please enter a signed number: +23 Please enter a signed number: 51 Please enter a signed number: 0 Please enter a signed number: 56 Please enter a signed number: 11 You entered the following numbers: 156, 34, -186, -145, 16, 23, 51, 0, 56, 11 The sum of these numbers is: 16 The truncated average is: 1 Thanks for playing!

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Presented below are the components in determining cost of goods sold. Determine the missing amounts. Beginning Inventory 1. $238,000 2. 100,000 3. 79,000 Purchases Cost of Goods Available for Sale Ending Inventory Cost of Goods Sold $170,000 $ $44,000 $ 62,000 95,000 129,000 36,000 65,000 80,000 47,000

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2\angle90^\circ A 1 2\angle0^\circ V -j5 \Omega +1 j3 \Omega 2 2 \Omega 3 4 \Omega Find the SAE's for the assigned loop currents. Find the magnitude $|i_2|$ in amps.

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? which one is the major product? \text{excess} + \text{cat. AlCl}_3 \to ?

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9. Use Taylor polynomials with remainder term to evaluate the following limits: (a) $\lim_{x\to 0} \frac{1-\cos(x)}{x^2}$ (b) $\lim_{x\to 0} \frac{\log(1+x^2)}{2x}$ (c) $\lim_{x\to 0} \frac{\log(1-x) + xe^{x/2}}{x^3}$ Hint: Use Taylor polynomials for the standard functions [e.g., $\cos(t)$, $\log(1+t)$, and $e^t$] to obtain polynomial approximations to the numerators of these fractions; and then simplify the results.

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hugo b.