a.r.c./i.r.c. /continuity trig limits limits definitions/ facts 500 400 300 200 100 200 300 400 500...
TRANSCRIPT
Math 165 SI
CalculusA.R.C./I.R.C./
ContinuityTrig LimitsLimits
Definitions/Facts
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What is the average rate of change
if when substituting values in for x very close to c it approaches L and no other number
What is the definition of a limit
What is the Instantaneous Rate of Change
When you can trace you finger cross the graph of a function without picking it up
What is a continuous function?
1. Jump discontinuity2. The function grows too large
3. Oscillates, does not settle in on a single number
What are the three ways a limit fails to exist ?
)
6
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1/2
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-1
)
75
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12
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0
)
4
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4
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0
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3
Find A.R.C. of cot(x) on the interval [π/4, 3π/4]
-π/4
Determine the Intervals on which the function ((3x^2-x-2)/(x-1))is continuous
(-,1),(1,
Find an equation for the tangent line of x^3-12x at the point (1, -11)
y=-9x-2
For what value of a is f(x)= continuous at every x
4/3
For what value of a and b is f(x)= continuous at every x
A=5/2, b=-1/2