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Arc Length for Parametric Equations
L = ∫βα √ ((dx/dt)2 + (dy/dt)2) dt
Note: that we could have utilized the second formula for ds above is we had supposed instead that
dy/dt > 0 for α < t < β
If we had moved out this route in the derivation we would have gotten similar formula.
In a garden, 1/8 of the flowers are tulips. 1/4 of the tulips are red. What fraction of the flowers in the garden are red tulips?
sin45
f Y is a discrete random variable with expected value E[Y ] = µ and if X = a + bY , prove that Var (X) = b2Var (Y ) .
1. Consider the code of size 4 (4 codewords) and of length 10 with codewords listed below. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1
The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?
How do you find the ratio for these problems?
Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes
5.02
Right-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>a without in fact letting x be a.
In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.
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