Numerade

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F = 5xi + 5yj + 6zk and $\sigma$ is the portion of the cone $z = \sqrt{x^2 + y^2}$ between the planes $z = 1$ and $z = 8$ oriented with normal vectors pointing upwards. Find the flux of the flow field F across $\sigma$.

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Question 2. (6 points) The mineral molysite, with formula FeCl$_3$, dissolves congruently according to the following equation: FeCl$_3$ (s) = Fe$^{3+}$ (aq) + 3Cl$^-$ (aq) Calculate the solubility product, K$_{sp}$, for FeCl$_3$ (the mineral molysite) at 25$^\circ$C, using the following data: $\Delta$G$^\circ_f$ (kJ/mol) Fe$^{3+}$ (aq) -8.6 Cl$^-$ (aq) -131.2 FeCl$_3$ (s), molysite -399.5

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Memory is a complex concept. Why can we remember every word to a song we heard 10 years ago, but cannot remember why we walked into the kitchen less than 5 minutes ago? Why do we forget certain information, but remember others? Briefly describe a recent situation in which you forgot something important, referencing one of the theories of forgetting. What techniques could you have used to avoid forgetting this information? The citation year has to be from 2019 -2023

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a) The firm will sell high quality goods because the marginal cost of producing high quality goods is lower than the marginal cost of producing low quality goods. To determine how much of it will be sold, we need to set the marginal cost of high quality goods equal to the market price: 20 + 2Q = 40 2Q = 20 Q = 10 units of high quality goods will be sold. b) To determine if a price of $60/unit will give the new firm enough incentive to sell high quality goods, we need to compare the marginal cost of producing high quality goods with the new price: 20 + 2Q = 60 2Q = 40 Q = 20 units of high quality goods will be sold. c) The minimum price at which the new seller will be willing to sell the good is determined by setting the marginal cost of producing high quality goods equal to the price: 20 + 2Q = P 2Q = P - 20 Therefore, the minimum price will be $20/unit.

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2 k\Omega 5 k\Omega 5 k\Omega 6 mA 10 k\Omega 5 k\Omega 4 V The value of Ro in the Figure above is determined according to maximum power transfer to load. Calculate the maximum power by means of microwatts (µW) that can be delivered to Ro. 6 V Ro

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a. 1254.54? b. 890.42 ? c. 1173.50? d. Necesito Conocer el voltaje 470 330 287 220 330

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Q1- (25%) Onto the link 3 of the mechanism a 5 Nm torque is acting as shown. Mechanism is working on the horizontal plane. Find the magnitude and direction of the external torque on the link 2. Solve this problem using virtual work/virtual displacement method. The right side figure is reserved to show instantaneous centres or vector loop. To show the virtual displacements, the crank is assumed to be rotated in CCW direction and drawn here as thin lines (Below figure). Draw virtual displacements indicating the directions on the below figure.

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Given the uniaxial material properties $\sigma_f$ = 120 ksi $b$ = -0.1 $E$ = 30,000 ksi $\epsilon_f$ = 1 $c$ = -0.5 determine the life to failure, in cycles, for a shaft subjected to a completely reversed torsional loading of $\Delta \gamma / 2$ = 0.42% (0.0042). Use von Mises equivalent stress/strain theory.

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Argument A A certain square has a perimeter of 20 meters. Therefore, the square in question must have an area of 25 square meters. Argument A is: A hypothetical syllogism An argument from definition An argument based on mathematics A categorical syllogism A disjunctive syllogism

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. Please answer the following conceptual questions related to factors affecting bond yields. a. Write out an equation for the nominal interest rate on any debt security. Briefly explain each factor and why is affects interest rate. b. Differentiate between interest rate risk and reinvestment rate risk. To which type of risk are holders of long-term bonds more exposed? Short-term bondholders? Explain. c. Why are U.S. Treasury bonds not riskless? To what types of risk are investors of foreign bonds exposed? Explain. d. List some factors that affect bond ratings. How are bond ratings correlated with default risk premium? e. Which bond usually will have a higher liquidity premium: one issued by a large company or one issued by a small company? Explain. f. Why do convertible bonds and bonds with warrants have lower coupons than similarly rated bonds that do not have these features? Explain.

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lynn m.