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2. The pressure at some level inside the oil is 1.20 kPa. What is the height of the oil column above that level? The mass density of oil is 780.0 $\frac{kg}{m^3}$. (5 points)

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26.25 - In the circuit shown in Fig. E26.25 find (a) the current in resistor \( R \); (b) the resistance \( R \); (c) the unknown emf \( \mathcal{E} \). (d) If the circuit is broken at point \( x \), what is the current in resistor \( R \) ? 26.26 - Find the emfs \( \mathcal{E}_{1} \) and \( \mathcal{E}_{2} \) in the circuit of Fig. E26.26, and find the potential difference of point \( b \) relative to point \( a \). Figure E26.25 Figure E26.26

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A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distanceT'i= R/4 from the center, the electric feld has a magnitude Eo. What is the magnitude of the electric feld at a radialdistance r2=2R?

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Discuss positive and negative aspects of Health Insurance system of United States of America and United Kingdom.

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Solid Company purchased a plot of ground for \( \mathrm{P} 18,000,000 \). The entity also paid an independent appraiser for the land the amount of P500,000. The land was developed as residential lots at a total cost of \( \mathrm{P} 41,500,000 \). \begin{tabular}{lcc} & Number of lots & Sales price per lot \\ Highland & 20 & \( 1,000,000 \) \\ Midland & 40 & 750,000 \\ Lowland & 100 & 500,000 \end{tabular} What total cost should be allocated to Highland lots? a. \( 12,000,000 \) b. \( 11,900,000 \) c. \( 8,400,000 \) d. \( 8,300,000 \)

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Does globalization increase or decrease in proses of consumer goods in the US

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Consider the surface $z - 4 = xe^y \cos z$. Find an equation of the tangent plane to this surface at $(-4, 0, 0)$. Find a vector equation for the normal line to the surface at $(-4, 0, 0)$. $r(t)$ =

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28 Select the structure that represents fine pearlite. A) B) C) D)

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Question [2]: Here is a question that is more a test of logic and organization than math.I provide it as an opportunity to 'mess around' some more with utility functions, indifference curves, and utility maximization. Approach it as in assignment 1. The first big problem here is to figure out what the indifference map might look like. Then this question requires you to combine 'diagramatic' techniques and logic in order to characterize solutions in the diagram, which you then need to translate into some equations you can solve to get a general answer. The math here is not hard in the least, it is more a question of what math to do, and keeping track of a bunch of cases. Consider preferences represented by the utility function \(u(x) = \min\{(x_1+5x_2), (2x_1+2x_2), (5x_1+x_2)\} Derive Walrasian demand. [Hint: this is a function of income and price ratio. So one straight forward way to get demand is to pick some point on the vertical axis (which is the point \(m/p_2\), and then in your mind's eye rotate a budget from very steep to quite flat from that point. As you do so, you are effectively varying \(p_1\) from high to low. Take note of the optimal bundle. You can then characterize it by (a) being on the budget and (b) being on some ray from the origin, or on a region of budget. Solve the resulting two equations.] Draw representations of the Engel Curves, Income Expansion path, Demand Curves, and Price Offer curve for some endowment. (Yes - some of these 'curves' are actual 'regions/sets' 1 for some parameter values. Nothing wrong with multi-valued mappings, unless you insist on only ever doing calculus!)

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Answer all the Questions Time: 2hrs: 10mins Question One Write a program which takes PIN number of the user as input and then verifies his pin. If pin is verified the program shall display "pin verified" and "Welcome"; otherwise the program shall give user another chance. After 4 wrong attempts, the program shall display "Limit expired" and then exit. Use for loops to implement the logic. Note: 5 random PIN numbers can be assumed and fed into the program with which input PINS matched. Question Two A typical luxury Hotel requires a system to control its various operations such as maintaining account of all the people in its domain of services, attending to various needs of customers and also achieving increased efficiency in the overall working of the Hotel itself. Purpose of the System The System aims to make simpler a staff's interaction with the various modules of the Hotel and ease the process of acquiring information and providing services. The system can be accessed by the admin and customers but the highest priority given to admin that are allocated a login id and password. It will also allow cutting the operational costs of the hotel. Scope In this system we need to have a login id system initially. Further the system will be having separate functions for Getting the information • Getting customer information who are lodged in - Allocating a room to the customer Checking the availability Displaying the features of the rooms eg number of beds, TV, air conditioned room. Preparing a billing function for the customer according to his room no.

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