math

Question 1

integrale sin(ax)

Answer 1

1/a -cos(ax)

Question 2

integrale dx/(a^2+x^2)

Answer 2

1/a arctan(x/a)

Question 3

integrale cos(ax)

Answer 3

1/a sin(ax)

Question 4

integrale dx/sqrt(a^2-x^2)

Answer 4

1/a arcsin(x/a)

Question 5

Polar coordinates

Answer 5

x=rcosO y=rsinO

Question 6

Sin cos values from 0 to pi

Answer 6

sin 0, 1/2, (1/2)sqrt2, (1/2)sqrt3, 1, 0
cos 1 (1/2)sqrt3, (1/2)sqrt2, 1/2, 0, -1

Question 7

Cos and sin of -O

Answer 7

cos-O=cos= sin-O=-sinO

Question 8

cos^2+sin^2

Answer 8

1

Question 9

derivata cosx

Answer 9

-sin(x)

Question 10

derivata sin(x)

Answer 10

cos(x)

Question 11

Euler equation

Answer 11

e^(ix)=cos x + i sin x
e^(-ix)=cos x - i sin x

Question 12

dxdy vs dydx

Answer 12

-> ^

Question 13

Quadrics what evaluate

Answer 13

from Ly1+Ly2=c
muy1+muy2=1

mus positive ellipse
different sign hyperbola
negative no points
one is zero 2 parallel lines
both zeros empty

Question 14

arctan(0)

Answer 14

0

Question 15

y^2+2y

Answer 15

(y+1)^2-1

Question 16

sin/cos

Answer 16

tan

Question 17

tan=0

Answer 17

-pi, 0, pi

Question 18

tan of pi/2

Answer 18

tends to + - inf, plus from right (increasing)

Question 19

inverse of tan

Answer 19

arctan

Question 20

e^y=x+c

Answer 20

y=log(x+c)

Question 21

Bellman envelop, foc, V(s), V(…)

Answer 21

evelope ds=v’(s), foc da=0
v(s) derivi per s
V(..) derivi per a