Other Math Answers

show that
ln(1+x)<x

Use Residue theorem to compute
the integral from 0 to 2 pi
[ Sin theta ] / [ 4+ sin (theta) + cos (theta) ] dtheta


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a, b and c are positive integers. a and b have LCM 30 and GCD 5. Again b and c
have LCM 60 and GCD 3.If a is an even number then find LCM of a and c.

x=m×(m+1) ×(m+2) ×(m+3) ×… …×(3m-1) ×3m. Here x is divisible by 3k, if
m=1000 then find the maximum possible value of k.

A book has some page missing consecutively. The sum of the page number of
missing pages is 976. How many pages are missing there?

If P(x,n)= F(x,n)+F(x^2,n)+ F(x^3,n)+……+ F(x^n,n) where F(x, n)= x mod n, (i.e.
12 Mod 5 = 2 , means if we divide 12 by 5 we get a remainder of 2)
How many values of n are there so that, P(2014,n)=n ,where n<2012?

how do you use linear models

for each matrix, state te maximin for player 1(the row player). State the minimax for player 1(the column player). Is there a saddlepoint? does either player do better than their strategy?


[347]
[281]
[455]

A car hire company has one car at each of five depost a, b,c,d,e.a customer requires a car in each town namely A,B,C,D,E distances between deposits and town are given in the following distance matrix how should the cars be assigned so as to minimize the distance travelled
a. b. c. d. e
A. 160. 130. 175. 190. 200
B. 135 120. 130. 160 175
C. 140. 110. 155. 170. 185
D. 50. 50. 80. 80. 110
E. 55. 35. 70. 80. 105

You are a property insurer and your client,Patricia, whose current wealth is 1.4million dollars wants to insure her 730000$ house. the chances of the house burning down is 1.5 in a thousand, renata's utility function is u(w)=sqrt(w).

will she buy insurance policy if you offer it to her for 1164$???

any help would be appreciated