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Equal-sharing - situations in which we need to find out how much each portion Multiplication and Division contains when a given quantity is shared out into a number of equal portions. (e.g., I have 50 toffees with me and want to divide them equally among 5 children. How many toffees does each child get? )
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
Our objective is solve the following fourth-order BVP: (a(x)u'' )'' = f (x) u(0) = u(1)=0 u(0)' = u(1)'=0 (a) Give the variational formulation of the above BVP. (b) Describe the
Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat? Start along with Jim's age, y, because he appears to be the young
what is the nearest ten thousand of 92,892?
if 1/x+2, 1/x+3, 1/x+5 are in AP find x Ans 1/x+2,1/x+3, 1/x+5 are in AP find x. 1/x+3 - 1/x+2 = 1/x+5-1/x+3 => 1/x 2 +5x+6 = 2/ x 2 +8x +15 => On solving we get x
1. What is the value of Φ(0)? 2. Φ is the pdf for N(0, 1); calculate the value of Φ(1.5). 3. Suppose X ~ N(0, 1). Which, if either, is more likely: .3 ≤ X ≤ .4, or .7 ≤ X ≤
A worker retires with a lump sum superannuation benefit of $500,000. She immediately invests this money in a fund earning 5% pa effective. One year after retirement she begins maki
The manager of a specialty store marks up imported products 110%. If a vase imported from Italy costs him $35, what price tag will he put on the item? To ?nd out the price he s
Lindy has 48 chocolate chip cookies and 64 vanilla wafers. How many bags can lindy fill if she puts the chocolate chip cookies and the vanilla wafers in the same bags? She plans
Examples of logarithms: log 2 8 = 3 since 8 = 2 3 log 10 0.01 = -2 since 0.01 = 10
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