kotler,philip, Mathematics

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Toplogy, Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spa...

Let 0 ! V1 !    ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.

Determine that the series is convergent or divergent, Determine or find out...

Determine or find out if the subsequent series is convergent or divergent.  If it converges find out its value. Solution To find out if the series is convergent we fir

Two circles c(o, Two circles C(O, r) and C 1 (O 1 , r 1 ) touch each other ...

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

Interpretation, Interpretation A high value of r as +0.9 or - 0...

Interpretation A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that there is a causal relationship that is

Commercial, The C.P. of 20 articles is same as theS.P. of x articles.Articl...

The C.P. of 20 articles is same as theS.P. of x articles.Article profit is 25%.Find x

Trigonomitry, Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=...

Ask if tanA+sinA=m and m^2-n^2=4 rute mn show that tanA-sinA=n

Give a definition of perimeter and area, Give a Definition of Perimeter and...

Give a Definition of Perimeter and Area? Perimeter is the distance around a flat (2-dimensional) shape. Area is the amount of space taken up by a flat (2-dimensional) shape. is

Some simple equation, divide 50 into two parts such that if 6 is subtracted...

divide 50 into two parts such that if 6 is subtracted from one part and 12 is added to the second part,we get the same number?

Recognize the intervals for function h ( x ) = 3x5 - 5x3 + 3, For the given...

For the given function recognize the intervals where the function is increasing and decreasing and the intervals where the function is concave up & concave down. Utilizes this info

Marketing, What are the Input and Output of Marketing

What are the Input and Output of Marketing

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