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Left-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x Note that the change in notation is extremely m
shapes
Find out the surface area of the solid acquired by rotating the following parametric curve about the x-axis. x = cos 3 θ y = sin 3 θ 0 ≤ θ ≤ ?/2 Solution We wil
help solve these type equations.-4.1x=-4x+4.5
Example of Log Rules: Y = ½ gt 2 where g = 32 Solution: y = 16 t 2 Find y for t = 10 using logs. log y = log 10 (16 t 2 ) log 10 y = log 10 16 + log 10
write down all the factors of 36
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
It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system, x?' = A x? Here the eigenvalues of the matrix A are compl
lim n tends to infintiy ( {x} + {2x} + {3x}..... +{nx}/ n2(to the square) )where {X} denotes the fractional part of x? Ans) all no.s are positive or 0. so limit is either positive
poa is a straight line in circle,wher o is center of circle,b is any pointjoined with p.prove that pa>pb
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