exam 3 Flashcards

1
Q

does the MVT apply to |x - 3| on [0, 5]

A

no, not differentiable at x = 3

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2
Q

MVT

A

if f(x) is continuous and differentiable on the interval, then f’(x) = f(b)-f(a)/b-a

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3
Q

does the MVT apply to sin(3x) on (0, pi)

A

no, because the interval is not closed

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4
Q

∆x = ?

A

b-a/n

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5
Q

xi = ?

A

a + i∆x

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6
Q

sin2x = ?

A

2sinxcosx

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7
Q

cos2x = ?

A

1 - 2sin^2x
2cos^2x - 1

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8
Q

tan^2x = ?

A

sec^2x - 1

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9
Q

t/f: distance can equal -9/4

A

false, distance must be positive

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10
Q

to find the displacement function from the velocity function…

A

take the antiderivative

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11
Q

1/cos^x = ?

A

sec^2x

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