More Shit Flashcards

1
Q

If f and g are inverse functions, g’(a)=

A

1 / f’(g(a))

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2
Q

EVT

A

Continuous on closed interval means guaranteed min and max

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3
Q

d/dx S from a to g(x) f(t) dt =

A

f(g(x))*g’(x)

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4
Q

When v(t) and a(t) same sign

A

Speeding up

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5
Q

When v(t) and a(t) different signs

A

Slowing down

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6
Q

S from a to b v(t) dx

A

Displacement in (a, b)

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7
Q

MVT

A

If f is continuous on [a, b] then there is a c on (a,b) such that f(c)=f average or f’(c) = (f(b) - f(a))/(b-a)

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8
Q

dy/dx=ky

A

y=Ce^kt

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9
Q

f(b) =

A

f(a) + S from a to b f’(x) dx

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10
Q

IVT

A

If f is continuous on a closed interval there exists a number c such that f(c) = k (between f(a) and f(b))

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