Math

Question 1

What is the formula to find a third side if you have two sides and the angle for the missing side?

Answer 1

AB^2=AC^2 + BC^2 - 2(AC)(BC)cos€

Question 2

What is Vx?

Answer 2

!V!cos€

Question 3

What is Vy?

Answer 3

!V!sin€

Question 4

What’s the formula for the angle between two vectors?

Answer 4

Cos€=(u x v)/!!u!!!!v!!

Question 5

What is the equation for scalars?

Answer 5

v = ra + sb + tc

Question 6

Formula for vector? What does each variable stand for?

Answer 6

R = Ro + Tm
Ro is the position vector
m is the direction vector

Question 7

Distance from a plane to a point?

Answer 7

!ax + by + cz + d!/(a^2 + b^2 + c^2)^1/2

Question 8

B^2 - 4AC = 0
B^2 - 4AC < 0
B^2 - 4AC > 0

Answer 8

Parabola
Ellipse
Hperbola

Question 9

Angle for xy-term?

Answer 9

Cot 2€ = (A-C)/B

Question 10

x, X, y, Y?

Answer 10

x=Xcos-Ysin
X=xcos+ysin
y=Xsin+Ycos
Y=-xsin+ycos

Question 11

Which way does a vertical parabola face?

Formula?

Answer 11

Up. x^2 = 4py

Question 12

Which way does a horizontal parabola face?

Formula?

Answer 12

Side. y^2 = 4px

Question 13

Formula for ellipse long on x-axis?

Answer 13

x^2/a^2 + y^2/b^2 = 1

Question 14

Formula for ellipse long on y-axis?

Answer 14

x^2/b^2 + y^2/a^2 = 1

Question 15

Formula for hyperbola with curves on x-axis?

Asmptotes?

Answer 15

x^2/a^2 - y^2/b^2 = 1

y = bx/a

Question 16

Formula for hyperbola with curves on y-axis?

Asymptotes?

Answer 16

y^2/a^2 - x^2/b^2 = 1

y = ax/b

Question 17

!x-5! < 2

Answer 17

-2 < x - 5 < 2

3 < x < 7

Question 18

!3x + 2! >= 4

Answer 18

x>=2/3 or x<=-2

-inf,-2] U [2/3,inf

Question 19

Formula for arithmetic series?

Partial Sum?

Answer 19

An=A + (n-1)d

Sn=1/2n(a+an)

Question 20

Formula for geometric series?
Partial sum?
Infinite sum?

Answer 20

an=a x r^(n-1)
Sn=a(1-r^n)/1-r
S=a/1-r