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Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
a cheeseburger cost $6.39 more than a burger of $2.29, what is the difference?
Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
Properties of Logarithms 1. log a xy = log a x + log a y 2. = log a x - log a y 3. log a x n = n log
What is a lattice? Which of the following graphs are lattice and why? Ans: Let (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, comprises a glb (I
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whats the best way to solpve
HOW MATHEMATICAL IDEAS GROW : In this section we shall consider three aspects of the nature of mathematical ideas, namely, that they progress from concrete to abstract, from part
Suppose a fluid (say, water) occupies a domain D? R^(3 ) and has velocity field V=V(x, t). A substance (say, a day) is suspended into the fluid and will be transported by the fluid
Now we have to discuss the basic operations for complex numbers. We'll begin with addition & subtraction. The simplest way to think of adding and/or subtracting complex numbers is
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