Numerade

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Find the limit (if it exists). (If an answer does not exist, enter DNE.) $\lim_{x \to 4^{-}} \ln(4 - x)$ DNE

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Determine the radius of gyration of each geometry (Fig. 5). 10"x10" D=9.5" Fig. 5

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If Larry worked 44(1)/(5) hours this week, and spent (1)/(3) of his time hauling material, how many hours did Larry spend hauling material?

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Question 6 2 pts Consumers often maximize their utility at combinations of goods and services where their indifference curves intersect. O True O False

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\int 5^t \sin(5^t) dt \\ \int \frac{\sin x}{5 - (\sin x)^2} dx \\ \int \frac{\sin 2x}{\sqrt{3 + (\cos x)^2}} dx

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Consider two large parallel plates with top plate at 1200 K and bottom at 400 K. Top Both plates has emissivity of 0.7. Bottom plate is black (emissivity of 1.0). Calculate the net radiation exchange per unit area between the plates. $(1k.6)$ $\frac{2}{m_{A}} = \varepsilon \sigma T_{s}^{4} - \sigma T_{6}^{4}$ $= (1)(5.67 \times 10^{-8} \frac{W}{m^{2}K^{4}}) (1200^{4} - 400^{4}) K$

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The circular loop of wire at right carries current i, has radius R, and lies in a region of uniform magnetic field, B, inclined at 45° from the +x-direction. Find the net force on the loop and the net torque on the loop. Mathematical Analysis

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1. Steam is flowing through an adiabatic throttling valve. Steam enters point 1 upstream of the valve at 99.931 psia and 339.98°F and leaves the valve (point 2) at 52.0687 psia. Calculate the temperature $T_2$ in Celcius at the outlet.

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Selected financial statement data from Western Colorado Stores is shown below. (Round your answers 2 decimal places.) Net sales 2016 2015 $825,000 $845,000 Cost of goods sold 660,000 680,000 Operating expenses 120,000 100,000 Inventory 122,000 98,000 Required: 1. Compute the gross profit ratio for 2016. Gross profit ratio 20.00% 2. Compute the inventory turnover ratio for 2016. Inventory turnover ratio 6.00

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2. (12) Recall that $\sum_{i=1}^{n} i = \frac{n(n+1)}{2}$ and $\sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6}$. Compute $\sum_{i=1}^{n} i^3$ using the technique of telescoping summations as discussed in class. Remark: You are only allowed to use these two given summations.

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sonia r.