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find the ratio of their 11th terms, The  ratio of the sum of first n term...

The  ratio of the sum of first n terms of two AP's  is 7n+1:4n+27.  Find the ratio of their 11th  terms . Ans:    Let a 1 , a 2 ... and d 1 , d 2 be the I terms are Cd's of t

Complex number, If z=re i ? ,find the value of |e iz | Solution)   z=r(c...

If z=re i ? ,find the value of |e iz | Solution)   z=r(cos1+isin1) |e iz |=|e ir(cos1+isin1) |=|e -rsin1 |=e -rsin1

Hierarchical structures-how mathematical ideas grow, Hierarchical Structure...

Hierarchical Structures :  As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of

Permatuation and combination problem, 4 boys and 4 girls are to seated in a...

4 boys and 4 girls are to seated in arow i)no. of girls sit together ii)not all girls sit together iii)boys and girls are altenate to each other iv)if a particular boy and g

How many ounces of tomatoes does mark have, Mark has three 4 1/2 oz cans o...

Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul

Real numbers on every line, Make a file called "testtan.dat" which has 2 li...

Make a file called "testtan.dat" which has 2 lines, with 3 real numbers on every line (some negative, some positive, in the range from-1 to 3).  The file can be formed from the edi

Operation research, approximate the following problem as a mixed integer pr...

approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0

Integration, find the area bounded by the curve y=5x^2-4x+3 from the limit ...

find the area bounded by the curve y=5x^2-4x+3 from the limit x=0 to x=5

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