Calculus
Find the second derivative of f(x)= 3x^4-5x^2+4
f’’(x)=36x^2-10
Solve for X
2x-5=7(9x+6)
x=(-47/61)
Name two Greek Math Mathematicians
Euclid, Pythagoras, Archimedes, Aristotle, Diophantus, Hipparchus, Ptolemy
If tan(a) = 4/3 and cos(a) = 3/5, what is the value of sin(a)?
4/5
What is the 10th number in the Fibonacci sequence?
34
Evaluate the limit of 3x^2 -7x - 40 / x^2 - 25 as x-> 5
2.3 or 23/10
How many times does f(x) = (x-1)^3(x+1)(x-3)^2 cross the x-axis?
6
Who is credited with developing the Cartesian coordinate system?
René Descartes
Convert 120 degrees to radians.
2pi/3
What is the result of ~(P=>Q)?
P ^ ~Q
What’s the integral of sin^2(2x)dx
(½)x-(⅛)sin(4x) +C
How many distinct roots does x^5 -6x^4 + 10x^3 - 11x + 6 have?
4
How many Millennium Prize Problems have been solved?
1
The distance above sea level after a plane ascends from 1 mile at a 3 degree angle for 60 ground miles.
What is 4.1 mi?
What is the least prime number greater than 100?
101
Find f’(x)
f(x)=sin(3x)x^3
f(x)=3(x^3)cos(3x)+3(x^2)sin(3x)
Is the matrix
2 3
2 3
invertible?
No
Where was the Arabic number system created?(region/ country)
India
Calculate sin(pi/12) * sin(pi/4)
(1 - sqrt(3)) / 4
What is the only number that has letters in alphabetical order? (Hint: it is a multiple of 5)
Forty
Consider a conical tank whose radius at the top is 4 feet and whose depth is 10 feet. It’s being filled with water at the rate of 2 cubic feet per minute. How fast is the water level rising when it is at depth 5 feet?
1/2π ft/min
Find the determinant of the Matrix:
1 4
3 6
-6
What was the primary writing material used by the Babylonians for mathematics?
Clay Tablets
sin(6x−4π)cos(4π−x)=0 Solve for x
x = - (pi/4) + m*pi
A relation is an equivalence relation if it is reflexive, symmetric, and this
Transitive