Numerade

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Problem 1 (50 points) Suppose that a flat plate of indefinite extent is in contact with a Newtonian fluid that is initially at rest. The plate is at y = 0 and the fluid occupies the space y > 0. Beginning at t = 0 the plate is moved in the x direction at a constant velocity V. y u = 0 x t<0 u = 0 t=0 ux(y,t) t>0 V a) (10 points) What are the simplified equations of motion and the boundary conditions that govern the viscous stress and velocity in the fluid? State all the assumptions. b) (10 points) Use the method of characteristic quantities to make the equations dimensionless. c) (30 points) Is there a similarity solution? If so, determine the governing differential equation and boundary conditions. You do not need to solve the differential equation.

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A seismic instrument is constructed so that m = 0.45 kg and c . Acc707 . 0spring with k = 2.9 kN/m is used so that the instrument will be relativelyinsensitive to low-frequency signals for displacement measurements andrelatively insensitive to high-frequency measurements. Calculate the value ofthe linear acceleration that will produce a relative displacement of 2.5 mmwhile the frequency is 20Hz.

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Under pure competition, the market consists of many buyers and sellers who trade over a range of prices rather than a single market price. In pure competition, there is no single dominant seller or buyer, and entry and exit into the market are relatively easy. This type of market structure promotes competition and ensures that no single entity has control over the market.

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Question 4 Which of the following is a synthesis reaction? 2 H$_2$O$_2$(aq) $\rightarrow$ 2 H$_2$O(l) + O$_2$(g) HCl(aq) + NaOH(aq) $\rightarrow$ H$_2$O(l) + NaCl(aq) 2 H$_2$(g) + O$_2$(g) $\rightarrow$ 2 H$_2$O(g) Zn(s) + CuSO$_4$(aq) $\rightarrow$ ZnSO$_4$(aq) + Cu(s) 2 pts

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2. Sirius, one of the hottest known stars, has approximately a blackbody spectrum with $ \lambda=2600 \AA $. Estimate the surface temperature of Sirius.

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The concept of cultural leveling can best be demonstrated by which of these examples:

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11. The monthly salary of income of 300000 is tax free and rate of tax is taxable income. He deposits $ 10 \% $ of his income in provident fund and $ 5 \% $ in citizen investment irust where as ho pays 20000 per year for the premium of insurance. If within a year he donates Rs 30000 to a charity. a find his yearly income. \{1\} b. Find his taxable income \{2\}

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2. Count Words with 'ea' Define a value-returning function countWords(anyList) that counts and returns how many strings of a list of strings, given as parameter, contain a substring 'ea'. Use a simple for loop for the list traversal. Test your function 2 times. For each test, what is the expected value of the function? Write your answer in a comment just above the respective function call. Challenges: a) Count words with substrings 'ea', each letter capitalized or not. b) Add a second parameter to your function that allows to specify any substring.

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6. [0/9 Points] DETAILS PREVIOUS ANSWERS SCALC9 2.6.031.MI. Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $x^2 + y^2 = (5x^2 + 4y^2 - x)^2$, $(0, \frac{1}{4})$ (cardioid)

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Suppose a bank wants to earn a real rate of interest equal to 7.99% and they expect the rate of inflation to be 3.11%. At what interest rate will they set this loan to be? Answer this as a percentage and round your answer to two digits after the decimal without the percentage. ex. If you found the inflation rate to be 5.125%, answer 5.13.

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