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Properties of Dot Product
u→ • (v→ + w→) = u→ • v→ + u→ • w→ (cv→) • w→ = v→ •(cw→) = c (v→•w→)
v→ • w→ = w→ • v→ v→ • 0→ = 0
v→ • v→ = ||v→||2 if v→•v→ = 0 then v→ = 0→
Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition For the right-hand limit we say that, if for eve
Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other at P, externally or internally. Construction: join OP and O 1 P . Proof : we know that if two circles touch each
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
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You know that it's all the time a little scary while we devote an entire section just to the definition of something. Laplace transforms or just transforms can appear scary while w
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Characteristics and Limitations of moving average Characteristics of moving average 1) The more the number of periods in the moving average, the greater the smoothing
Variable stars are ones whose brightness varies periodically. One of the most visible is R Leonis; its brightness is modelled by the function where t is measured in days.
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