182.2 F23 - TEST 2 Co-req

DIRECT DERIVATIVES/ INTEGRALS

100

FIND THE DERIVATIVE OF THE FOLLOWING: 

d/dx(cos(x) + sec(x) - cot(x))

(-sin(x) + sec(x)tan(x) + csc^2(x))

200

d/dx(ln(1+x^2))

= (2x)/(x^2+1)

300

\int 1/(1+x^2)+ 1/(4x)dx

= arctan(x) + 1/4ln|x|+c

400

\int cot^2(x) * tan^2(x) * 1/cos^2(x)dx

= tan(x) + C

LIMIT

100

lim_(n->oo)1/ e^n

0

200

lim_(z->0)((cos(2z)+1)/2)

1

300

lim_(n->oo) arctan(n)

\pi/2

400

lim_(n->oo)(1+1/n)^n

e

UNIT CIRCLE

100

cos(pi/6)-sin(pi/3)+cos(pi)

-1

200

cos((8pi)/3)+sin((-4pi)/3)

-1/2+sqrt3/2

300

sin(pi/12)*cos(pi/12)

sin(pi/6) = 1/2

400

sec((-11pi)/6)+tan((3pi)/4)+cos(-(2pi)/3)

2/sqrt3-3/2

Trig Identities

100

sin²(x)+cos²(x)

1

200

cot²x+1

csc²x

300

simplify 1/2(1+cos2x)

 cos²(x)

400

simplify 1/2(1-cos2x)

sin²x

MISCELLANEOUS

100

What year did Michelle get her associate's degree?

2016

200

What weapon does Maia fence?

Epee

300

Who does Michelle main in Overwatch?

Moira!

400

Who does Maia main in Overwatch?

Lucio