Ratios, Mathematics

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Calcukus, A drug has a decay rate of k = - ¼ ln(¾) / hr. How soon after an ...

A drug has a decay rate of k = - ¼ ln(¾) / hr. How soon after an initial dose of 1600 mg will the drug reach its minimum therapeutic value of 900 mg in the body?

Law of cosines - vector, Theorem a → • b → = ||a → || ||b → || cos• ...

Theorem a → • b → = ||a → || ||b → || cos• Proof Let us give a modified version of the diagram above. The three vectors above make the triangle AOB and note tha

Monotonic, Monotonic, Upper bound and lower bound Given any sequence {a...

Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1.   We call or denote the sequence increasing if a n n+1 for every n.

Polynomials, In arithmetic, we deal with numbers. In contrast to this...

In arithmetic, we deal with numbers. In contrast to this, in algebra, we deal with symbols. These symbols are often represented by lower case alphabets. One of th

Function, definition and examples and types

definition and examples and types

Outer automorphism, (a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is ca...

(a) An unordered pair fm; ng with 1 ≤ m ≠ n ≤ 6 is called a duad. List the 15 duads. (b) There are 15 ways to partition {1, ......, 6 } into 3 duads, such as { {1; 2}, {3, 4},

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In these problems we will begin with a substance which is dissolved in a liquid. Liquid will be entering as well as leaving a holding tank. The liquid entering the tank may or may

Example of multiplication of complex numbers, Multiply following and write ...

Multiply following and write the answers in standard form.  (a) 7 i ( -5 + 2 i )  (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu

#permutation, #The digits 1,2,3,4and 5 are arranged in random order,to form...

#The digits 1,2,3,4and 5 are arranged in random order,to form a five-digit number. Find the probability that the number is a. an odd number. b.less than 23,000

Co-ordinate geometry, CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  s...

CO-ORDINATE GEOMETRY : Mathematics  is  the  tool  specially suited  for  dealing with  abstract concepts  of any  kind  and there  is  no limit  to  its  power  in this  field.

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