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Questions (7)
A student calculates an optimal tilt angle of 45 degrees, for a given location. For this calculation, the student only
1 answer
490 views
Before electricity, nights in towns and fields were often times pitch black, except when there was a full moon. How many times
1 answer
460 views
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
1 answer
1,061 views
Let a and b be integers (not necessarily positive). Prove that (a^3 + 5b^3) not equal to 2016.
0 answers
507 views
Let a, b and c be real numbers such that
a^2 + ab + b^2 = 9 b^2 + bc + c^2 = 52 c^2 + ca + a^2 = 49. Compute the value of
0 answers
536 views
Call a positive integer N ≥ 2 “special” if for every k such that 2 ≤ k ≤ N, N can be expressed as a
sum of k positive
0 answers
632 views
What is the largest possible product of a collection of positive real numbers which sums to exactly 27?
1 answer
423 views
Answers (9)
b(k) means k th term b(k+1)=b(k)+3+k
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]
-3
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)
x=(5/3) & (-1/6)
hundred place is 10 times as great as tenth place
-(2)^(1/2)
if "k" is the breadth, then 9*k=(96*(0.75*0.75)) => k=6
(4*33-21-42-32)=37
