Equations you need to know Flashcards

1
Q

What is the equation for an arathmetic sequance?

A

Un= a+ (n-1)d

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2
Q

What is the equation for a geometric equation?

A

(n-1)
Un= ar^

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3
Q

What is the equation for a straight line?

A

y-y1=m(x-x1)

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4
Q

Which way do you differentiate for different things in variable acceleration problems?

A

^ S |
Intergrate | V | Differentiate
| a v

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5
Q

What is the equation for a unit vector?

A

^.
a = (1/|a|) a. divide vector by its length

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6
Q

What trig identities do you need to know?

A
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7
Q

What are the equations for sectors?

A

IN RADIANS
Arc length = theta r
Area = 0.5 theta r^2

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8
Q

What does tan(kx) differentiate to?

A

k sec^2(kx)

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9
Q

What does ln(x) differentiate to?

A

1/x

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10
Q

What does A^(kx) differentiate to?

A

k x ln(A) x A^(kx)

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11
Q

What is the chain rule?

A

y=f(g(x))
dy/dx= g’(x) x f’(g(x))

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12
Q

What is the product rule?

A

y= f(x) g(x)
dy/dx= f(x)g’(x) + f’(x)g(x)

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13
Q

What does e^kx intergrate to?

A

1/k e^kx + C

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14
Q

What does Sec^2(x) intergrate to?

A

1/k tan (kx) + C

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15
Q

What does 1/x intergrate to?

A

lnx + C

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16
Q

What does A^kx intergrate to?

A

1/(k lnx) x A^kx

17
Q

What is the equation for friction

A

Fr= mR

18
Q

What equationd do you need to know in statics?

A
19
Q

What is the equation for normal distribution?

A