Sets
Algebra
Calculus
Physics
Other
100
What is the set of rational numbers?
Q ={x| x= a/b : a,b in ZZ and b != 0}
100
What is the quadratic formula?
(-b+-sqrt(b^2-4ac))/(2a)
100
What is the closed formula for the derivative?
100
True or false: If an object is in motion it is possible for the net force acting on it to be zero.
True
100
The third planet from the sun
What is Earth?
200
How do you prove two sets are equal?
show AsubeBandBsubeA
200
Simplify:
(10x^2-20x)/(40x^3-80x^2)*(16x^3+80x^2)/(6x+30)
(2x)/3
200
Find the derivative of
y=sec2x^4
y'=8x^3*sec2x^4*tan2x^4
200
True or False: Electric force is much greater in a charged atom than the gravitational force.
True
200
What is the motto of the Roman Empire
SPQR
Senatus Populosque Romanus
The Roman Senate and People
300
The Natural Numbers,The Integers, The Rational Numbers, The Real Numbers, The Complex Numbers are examples of?
Basic/Common Number Sets
300
Simplify
12sqrt(1764)
504
300
Find
int(e^xsinx)dx
1/2e^x(sinx-cosx)+c
300
True or false: the net work done an a system equals the kinetic energy of the system.
False
300
Name the largest island in the world.
Greenland.
400
∀ n ∈ N, let An := {(n + 1)k : k ∈ N}
What is A1 ∩ A2
all n: n=6k
400
Solve the equation for a;
(24x^2+25x-47)/(ax-2)=-8x-3-53/(ax-2)
a=-3
400
What is the derivative of
csc^-1(x)
(-1)/(abs(x)sqrt(x^2-1))
400
The electron is the smallest amount of charge, known as the ____________.
elementary charge
400
What is the national game of England?
Cricket
500
Prove the transitive property of proper subset:
A sube B and B sube C => A sube C
500
Find the fractional decomposition of
(-2x^2-19x-13)/(x^3-7x^2+11x-5
2/(x-5)-4/(x-1)-1/(x-1)^2
500
find the definite integral of:
int_2^3 int_-1^4 int_1^0 4x^2y-z^3dzdydx
-755/4
500
What are at least 3 of maxwells equations in integral form?
500
What percentage of a watermelon is water?
92%