Dip

What is the largest possible product of a collection of positive real numbers which sums to exactly 27?

Let S be the locus of all points (x, y) in the first quadrant such that (x/t)+(y/(1− t))= 1 for some t with 0<t<1. Find the area of S.

Before electricity, nights in towns and fields were often times pitch black, except when there was a full moon. How many times brighter is the noonday sun than the full moon when the moon is at the closest point to the earth? Model the moon as a sphere of...

(4*33-21-42-32)=37

if "k" is the breadth, then 9*k=(96*(0.75*0.75)) => k=6

-(2)^(1/2)<m<2^(1/2) since 2^(1/2)*sin(x+(pie/4))=m & -1<sin y<1

hundred place is 10 times as great as tenth place

x=(5/3) & (-1/6)

replace x by g(x) in q(x), then q g(x)=(9-3x^2)/(6x^2-11) hence p q g(x)=(24x^2-51)/(6x^2-11)

-3<x+5<8 it is an "and" problem since x+5 is less than 8 and x+5 is aiso greater than -3 that means both side of x+5 hold simultaneously. if one of the side is true not necessarily other side have to be true, then the problem will be "or" problem.

A= event that odd will occur B= event that 1 is the outcome then p(B|A)=p(A and B)/p(A)=(1/3)/(3/6)=2/3[p(A and B)=1/3 since out of three odds 1,3,5 ,the 1 is the only one possible case]

b(k) means k th term b(k+1)=b(k)+3+k