Sets
Algebra
Calculus
Geometry
100
What is the cardinality of {1,2,3,5}?
4
100
Solve 9x-7=38
x=5
100
What is the derivative of 4x3+7x2+8x+2
12x2+14x+8
100
y=6
200
What is {2,5,7,9,34,42}∩{3,5,34,60}?
{5,34}
200
4x2+8x+3=0
x= -3/2, -1/2
200
Differentiate y=x3lnx
3x2lnx+x2
200
Find the circumference of a circular disk whose area is 100π square centimeters.
20π
300
If |A|=20, |B|=28, and |A∪B|=36, what is |A∩B|?
12
300
Solve the system of equations:
- x / 2 + y / 3 = 0
x + 6 y = 16
x=8/5=1.6
y=12/5=2.4
300
11/4
300
Find x
24
400
How many subsets of {1,2,...,n} are there?
2n
400
Solve 2x3+7x2-8x-28=0
-7/2, -2, 2
400
∫ sinxcosxdx
½sin2x+C
400
The right triangle shown below has an area of 25. Find the length of its hypotenuse.
√125=5√5≈11.18
500
In a class of 106 students, each student studies at least one of the three subjects Math, Physics and Chemistry. 48 study Math, 51 study Physics and 53 Chemistry. 16 study Math and Physics, 17 study Math and Chemistry and 18 study Physics and Chemistry. How many study Math only, Physics only, and Chemistry only?
20,22,23
500
Find four consecutive even integer numbers whose sum is 388.
94,96,98,100
500
second derivative of
500
The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find angle T in degrees.
34.8