QUADRATICS
Solve: x2-5x+6=0
x1=2 & x2=3
What is the 5th term in the sequence 2, 4, 6, 8...?
10
sin2(x)+cos2(x)
sin2(x)+cos2(x)=1
Find the derivative of f(X)=X2
f´(x)=2x
Expand (x+1)2
x2+2x+1
Solve: 2x2-3x=0
x1=0 & x2=3/2
What is the 6th term in the sequence: 3, 6, 12, 24...?
96
Simplify 1+tan2(x)
1+tan2(x)=sec2(x)
Find the derivative of f(x)=3x3
f´(x)=3.3x2=9x2
Expand (x-2)2
x2-4x+4
Solve: x2+4x+4=0
x=-2
Find the sum of the first 5 terms of the sequence 1, 3, 5, 7, 9
25
Simplify sin(x)/cos(x)
sin(x)/cos(x)=tan(x)
Find the derivative of f(x)=sin(x)
f´(x)=cos(x)
Expand (2x+3)2
4x2+12x+9
Solve: 3x2+2x-1
x1=1/3 & x2=-1
Find the the 10th term of the sequence: 5, 10, 20, 40...
2560
Express sin(2x) in terms of sin(x) and cos(x)
sin(2x)=2sin(x).cos(x)
Find the derivative f(x)=Ln(x)
f´(x)=1/x
Expand (x+1)3
x3+3x2+3x+1
Solve: 4x2-4x+1
x1=1/2
What is the sum of the infinite geometric series
8
Simplify cos(2x) in terms of sin(x) and cos(x)
cos(2x)=cos2(x)-sin2(x)
Find the second derivative of f(x)=x3
f´(x)=3x2=6x
Expand (x-2)3
x3-6x2+12x-8