## Harmonic proression, Mathematics

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#### Relationship between the shortest path distances - tree, 1. a)  Given a dig...

1. a)  Given a digraph G = (V,E), prove that if we add a constant k to the length of every arc coming out from the root node r, the shortest path tree remains the same.  Do this by

#### What is a mixed number, Q. What is a Mixed Number? Ans. A mixed nu...

Q. What is a Mixed Number? Ans. A mixed number is an integer, along with a fractional part, which has the same sign. (Therefore, a mixed number always has two parts.) M

#### Tangents, find a common tangent to two circles

find a common tangent to two circles

commutative law

#### Square numbers., is 49 a square number?

is 49 a square number?

#### Evaluating the function at the point of limit, Calculate the value of the f...

Calculate the value of the following limit. Solution: This first time through we will employ only the properties above to calculate the limit. Firstly we will employ prop

#### Express the statement as a disjunction in dnf, State the following statemen...

State the following statement as a disjunction (in DNF) as well using quantifiers:      There does not exit a woman who has taken a flight on each airline in the world.

#### Calculate the acceleration time, Question A 22 kW, 3-phase, 415 V, 40 A,...

Question A 22 kW, 3-phase, 415 V, 40 A, 50 Hz, 960 rpm, 0.88 PF squirrel cage induction motor drives a pump. The total inertia of the drives system is 1.2 kg-m2. Determine th

#### Geometric progression (g.p.), Learning geometric progression ...

Learning geometric progression vis-á-vis arithmetic progression should make it easier. In geometric progression also we denote the first t

#### What is the probability of getting a royal flush, Q. What is the probabilit...

Q. What is the probability of getting a Royal Flush? Ans. Five cards are picked from a standard deck of 52 cards. How many different hands of five cards are possible? What  