Geometric Descriptions
a set of all points in a plane equidistant from a fixed center point.
circle
Which mathematician introduced the Fibbonaci sequence?
Leonardo Fibbonaci
A car travels 60 miles in 1.5 hours, what is the average speed?
40 mph
15% of 80
12
y=2x+3
Set of all points in the plane that are equal from a fixed point and a fixed line.
Parabola (focus, directrix)
Who is known as the 'father of geometry'
Euclid
dy/dx of 3x^2+2x+1
6x+2
25^2/5
125
Find the equation of a line that passes through (1,2) and (3,6)
y=2x
Set of all points such that the sum of their distance from two fixed points is constant
elipse,(foci)
Who formulated the laws of universal gravitation?
Issac Newton
A tank fills at a rate of 4L/min and leaks at 1L/min. How long to fill 45L?
15 minutes
((3^2+4^2)*2)/10
5
Parabola with vertex at (0,0) opening upward and passing through (2,8)
y=2x^2
The set of all points such that the difference of their distances from two fixed points is constant.
Hyperbola, (foci)
Who developed the Cartesian coordinate system?
Rene Descartes
dy/dx (2x^3+x)(x^2-4)
10x^4-21x^2-4
532*12
6,384
Elipse centered at (0,0) with a=4, b=2 along x and y axes.
(x^2/16)+(y^2/4)=1
Describe the relationship between conic sections and a cone.
conic sections are formed by intersection of a plane and a double cone at different angles and positions relative to the cone's axis.
Which mathmematician solved Fermats last theorem after 350 years?
Andrew Wiles
integrate (6x^2-4x+3)dx
2x^3-2x^2+3x+C
((13*12)/4)-9
30
find equation of a hyperbola centered at (0,0) that passes through (5,4) and (-5,-4) with vertices at (-+3,0)
(x^2/9)-(y^2/9)=1