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Questions (112)
A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many
1 answer
467 views
The efficiency of a machine is in general defined as the ratio between useful (released) energy and the input energy. Therefore,
1 answer
696 views
Suppose p(x)=ax^2+bx+c is a quadratic polynomial with real coefficients and |p(x)|≤1 for 0≤x≤1. Find the largest possible
1 answer
508 views
Find the smallest n such that for any prime p, at least 20 numbers 1,2, ..., n are quadratic residues not modulo p.
k is
0 answers
495 views
f(x)=x ^2 +bx+c , b and c real .Find the minimum of (max|f(x)|)for x∈[−10,10]?
2 answers
987 views
There are N ordered integer quadruples (a,b,c,d) subject to 0≤a,b,c,d≤99990 such that ad−bc≡1(mod99991). What are the
1 answer
359 views
a) find the equation of AB, the perpindicular bisector of the line joining the points P(-3,1) and Q(1,9)
(line AB intersects the
0 answers
570 views
a) find the equation of AB, the perpindicular bisector of the line joining the points P(-3,1) and Q(1,9)
(line AB intersects the
0 answers
483 views
A study of motor vehicle rates in the 50 states reveals
that traffic death rates (deaths per 100 million motor vehicle miles
1 answer
566 views
given that a/b=c/d, decide whether it is true or not that a/c=b/d.
and how can i explain my reasoning?
2 answers
398 views
are all regular hexagons similar?
how can i explain?
2 answers
501 views
(a) Find the indefinite integrals of the following functions.
(i) f (t) = 6 cos(3t) + 5e^−10t (ii) g(x) = 21-12x^3/ x (x > 0)
0 answers
687 views
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