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Flashcards in FP3 Deck (26):
1

sinh(x)

0.5(e^x - e^-x)

2

cosh(x)

0.5(e^x +e^-x)

3

tanh(x)

(e^x - e^-x)/(e^x + e^-x)

4

Ellipse parametric

x=acos(t) y=bsin(t),

5

Ellipse foci

foci (ae,0)

6

Ellipse directrix

x =+- a/e

7

Ellipse eccentricity

b^2 = a^2 (1-e^2)

8

Hyperbola parametric

x=acosh(t) y=bsinh(t)

9

Hyperbola asymptotes

x/a = +- y/b

10

Hyperbola foci

(ae, 0)

11

Hyperbola directrix

x =+- a/e

12

Hyperbola eccentricity

b^2 = a^2 (e^2-1)

13

Parabola parametric

x=at^2 y=2at

14

Parabola focus

(a,0)

15

Parabola directrix

x=-a

16

Parabola eccentricity

e=1

17

d(arsinh)dx

1/(1+x^2)^0.5

18

d(arcosh)dx

1/(x^2-1)^0.5

19

d(artanh)dx

1/(1-x^2)

20

arc length

int((1+(dy/dx)^2)^0.5)dx

21

dS/dT

((dx/dt)^2+(dy/dt)^2)^0.5

22

dS/sX

(1+(dy/dx)^2)^0.5

23

Area of OAB

0.5 x |a x b|

24

Area of parallelogram

|a . (b x c)|

25

Volume of tetrahedron

1/b x |{a,b,c}|

26

det(A)

aei-afh-bdi+bfg+cdh-ceg