Test 1 Flashcards

1
Q

How to find perpendicular equation or Area

A

Cross product (up subtract down add)

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2
Q

Volume of a cone

A

1/3 (base) (height)

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3
Q

R^2=

A

Y^2+x^2

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4
Q

Cos(2x)

A

Cos^2x-sin^2x

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5
Q

Psin(theta)=

A

R

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6
Q

Pcos(theta)=

A

Z

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7
Q

Rcos(theta)=

A

X

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8
Q

Rsin(theta)=

A

Y

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9
Q

Ellipsoid shape

A

Easter egg

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10
Q

Elliptic paraboloid

A

Bowl

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11
Q

Lesbian lovers

A

Hyperboloid 2 sheets

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12
Q

Saddle

A

Hyperbolic paraboloid

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13
Q

Chinese finger trap

A

Hyperboloid

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14
Q

When to use dot product

A

To find the angle between vectors

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15
Q

Cosecant

A

Reciprocal of sin

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16
Q

Sin(2x)

A

2sin(x)cos(x)

17
Q

Cos(x)^2

A

1+cos(2x)/2

18
Q

Sin(x)^2

A

1-cos(2x)/2

19
Q

Given velocity and acceleration how do you find a perpendicular plane

A

Velocity x Acceleration

20
Q

Arc length equation with 3d

A

Integral of the root of all components derivatives squared respectively

21
Q

Acceleration tangential

A

r’ •r’’/|r’|

22
Q

Acceleration normal

A

|r’xr”|/|r’|

23
Q

Proj y onto x

A

(Y•x)/(x•x)*x

24
Q

U•V= (not component form)

A

|U||V|cos(theta)

25
Q

K=

A

|r’xr”|/|r’|^3

26
Q

N=

A

T’/|T’|

27
Q

Unit T=

A

V/|v|

28
Q

How to find perpendicular plane of a vector

A

Vector=vec•point

29
Q

The quadratic formula

A

-b+-sqrt(b^2-4ac)/2a

30
Q

Oscillating plane equation

A

r’xr”=c