Version 001 HW02 monin (54666)
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Determine which, if any, of
f (x) = 256(163x ) ,
1
16
dene the same function.
CalC7b0
Version 001 HW01 monin (54666)
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EvalSqrt03a
001 10.0 points
Which, if any, of the following statements are
true when
carrabine (zlc222) HW01 lawn (55840)
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001
On the other hand,
(x + y)2 = |x + y| ,
so if x + y > 0,
10.0 points
x+y =
Version 050 EXAM 2 ben-zvi (55400)
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001
002
1
10.0 points
Find the derivative of
f (x) = 4 tan1 x2 .
10.0 points
Det
Version 116 EXAM 1 ben-zvi (55400)
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1
List the ve slopes in increasing order.
1. E, B, D, A, C
2. E, C, B, A, D
001
patel (upp62) HW10 lawn (55235)
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001
10.0 points
Thus there exists c, 0 < c < 12, such that
f (c) =
c = 8 .
002
3. c
Version 001 HW05 monin (54666)
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CalC2c04a
001 10.0 points
1
1. limit = 4
2. limit = 8 correct
3. limit does not exis
roberts (eer474) Quest HW 8 seckin (56425) This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 1 3+x 002 10.0 points
1
Use linear appproximation to est
garcia (jjg2564) Hw 03 gualdani (56410) This print-out should have 24 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 (part 1 of 3) 10.0 points (i) Determine the value of lim x8 . x4 5. lim
cannon (kgc299) HW03 berg (54595) This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points
1
which of the following is the graph of f -1(x)?
9 8 7 1. 6 5
Version 099 EXAM 1 lawn (55840)
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001
10.0 points
Determine all values of x at which
2 x (x 2),
x2
(2 < x < 1) ,
f (
Version 001 HW13 monin (54666)
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1
B. By properties of limits
lim F (x)g (x) = 20 = 1 ,
x1
so this limit is not an in
patel (upp62) HW11 lawn (55235)
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001
002
2
f (x) = (4x 8x 32) 1 + g(x)
A. concave up on (, 0) (0, )
B. has local max
garcia (jjg2564) HW 11 gualdani (56410) This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. 001 10.0 points 3. 4 2 4 2 2 If f is a function on (4, 4) having exactly th
Version 001 HW11 monin (54666)
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CalC4a43a
001 (part 1 of 3) 10.0 points
Let f be the function dened by
f ( x) = x
1
Version 081 Exam 2 lawn (55840)
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001
10.0 points
Find the y-intercept of the tangent line to
the graph of
f (x) = 6x
carrabine (zlc222) HW02 lawn (55840)
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001
Find y when
2x = 16y ,
1. y =
21
11
If x1 , x2 are the solutions of the eq
carrabine (zlc222) HW03 lawn (55840)
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001 (part 1 of 3) 10.0 points
Explanation:
For x < 1 < 7 we see that
x7
> 0.
x
11-11-2011
Properties of Limits
There are many rules for computing limits. Ill list the most important ones. There are analogous
results for left and right-hand limits; just replace lim with lim+ or lim .
xc
xc
xc
I mentioned the rst rule earlier:
If f (
Version 014 EXAM 3 lawn (55840)
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001
Determine the value of
5. f (0) = 8
when
g(x) = x5 + 6x .
6
5
where the arbitra
8-29-2005
The Limit Denition
Having discussed how you can compute limits, I want to examine the denition of a limit in more detail.
1 cos(x8 )
. You might
x0
x16
think of drawing a graph; many graphing calculators, for instance, produce a graph like the o
8-29-2005
Limits: An Introduction
Calculus was used long before it was established on rm mathematical foundations. Limits provide a
precise way of talking about convergence and innite processes.
For example, derivatives and integrals are dened using limit
Version 001 HW03 monin (54666)
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CalC7a03b
001 10.0 points
Five functions are dened by the table
x
1
2
3
4
5
9
6
7
4
Version 001 HW04 monin (54666)
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CalC2b00Ex9
001 (part 1 of 3) 10.0 points
Determine the value of
lim
x 2+
x7
.
x2
1
Version 001 HW06 monin (54666)
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1
CalC3a03a
002 10.0 points
Find the slope of the secant line passing
through
CalC3a
Version 001 HW15 monin (54666)
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CalC5b04s
001 10.0 points
The graph of a function f is shown in
9
7
6
5
4
3
2
1
8
6
Version 001 HW14 monin (54666)
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CalC4j00Ex2
001 10.0 points
1
with C an arbitrary constant.
CalC4j01exam
002 10.0 po
Version 001 HW12 monin (54666)
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therefore, Rolles Theorem applies to f on the
interval [2, 4]. Now, by the Quotient
Version 001 HW07 monin (54666)
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CalC3c10b
001 10.0 points
Find the derivative of
f ( x) =
1. f (x) =
2
x .
x
1
Deter
Version 001 HW08 monin (54666)
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2x+
1
x
.
3
1
x2
3
2. f (x) =
1
2 2
x
6x
3. f (x) =
2x+ 1
2+
(2 x2
5. f (x) =
6x
(