General random things Flashcards
(19 cards)
Why might a sign change not mean there is a root in the interval?
Interval could be too large or there is an asymptote here.
How many solutions if a^2-4ac > 0
2 real solutions
How many solutions if a^2-4ac =0
1 real solution
How many solutions if a^2 -4ac < 0
No real solutions
Equation of a circle with centre (0,0)?
x^2 + y^2 = r
What angle is a tangent to a circle to the radius?
Perpendicular
What happens with a perpendicular bisector to a cord?
Hits the centre
How to find the centre of the circle given 3 points?
Create 2 cords, find their centre and use perpendicular bisector rule
periodicity of tan?
180
periodicity of cos and sin?
360
What will f’‘(x) be at a minimum?
f’‘(x) > 0
What will f’‘(x) be at a maximum?
f’‘(x) < 0
When is a function increasing?
when f’(x) > 0
When is a function decreasing?
when f’(x) < 0
What is a real function?
When it is one to one or many to one.
How to sketch the graph of y = |f(x)|
reflecting anything below the x-axis
How to sketch the graph of y = f(|x|)
reflecting in the y-axis
with (1+bx)^n, what is it valid for?
|bx|< 1 OR |x| < 1/b
with (a+bx)^n, what is it valid for?
|b\ax|< 1 OR |x| < |a/b|
