Solve the following boundary value problem using method of separation of variables: 1 ə ди r dr 70% (107) + 1 д²и = 0, 12802 -π
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- The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of sodium chloride (NaCl), and Y is the molarity of a solution of sodium carbonate (Na2CO3), the molarity of sodium ion (Na+)inasolution made of equal parts NaCl and Na2CO3 is given by M = 0.5X + Y. Assume X and Y are independent and normally distributed, and that X has mean 0.450 and standard deviation 0.050, and Y has mean 0.250 and standard deviation 0.025. a) What is the distribution of M? b) Find P(M > 0.5).13. If mED = (9x-3)', mBF = (15x – 39)', and mZBCF = (11x-9)', find mED. %3D %3D DELL 6. 8. 2 3 nFind the values for each of the dimensions of an open-top box of length x, width y, and height 864,000/(xy) (in inches) such that the box requires the least amount of material to make. Length: (in) Width: (in) Height: (in)
- The molarity of a solute in solution is defined to be the number of moles of solute per liter of solution (1 mole = 6.02 × 1023 molecules). If X is the molarity of a solution of magnesium chloride (MgCl2), and Y is the molarity of a solution of ferric chloride (FeCl3), the molarity of chloride ion (Cl−) in a solution made of equal parts of the solutions of MgCl2 and FeCl3 is given by M = X + 1.5Y. Assume that X has mean 0.125 and standard deviation 0.05, and that Y has mean 0.350 and standard deviation 0.10 .Assuming X and Y to be independent, find σM.Please don't provide handwritten solution ...Differentiate. у%3 In (x+4)(5х- 6)(3— х)] d [In ((x+ 4)(5x – 6)(3 – x))] = dx
- A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km per hour. The amount of water that runs into the sea per minute (in cubic metres) is (A) 31500 (B) 3150 (C) 3150000 (D) 6300find the exact solution 40=3(1.15)^tBy using equation qx= 2mx/(2+mx) , derive a similar equation for the more general case of an age group of width years (x to x+n years) that is show tha nqx = (2*n* nmx) /(2+n*nmx)
- A city of 70000 residents has an average water demand of 250 L/ca.day. The institutional and commercial, and industrial average areas in the city are 250 and 350 Ha, and water demand expected is 20 and 23 m3 /Ha.d. The public water use and water unaccounted for are 10 and 6 % of total municipal water demand, respectively. Calculate total municipal demand and each component quantity as a % of total municipal demand.Find شان y=√xThe rate of conversion of a certain substance is proportional to the square root of the amount m of unconverted substance. Use k as the proportionality constant. Show that the substance will disappear in finite time and determine the time.