舜炬陇腹规率赖居酿乃纲尼势
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起止时间:2020-09-07到2020-12-31
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2 Limits and Continuity Quiz for Chapter 2
1、 Find
A:
B:
C:
D:
答案:
2、 Find
A:1
B:
C:
D:2
答案:
3、 If
, find
.
A:7
B:8
C:6
D:5
答案: 7
4、 Find
A:1
B:0
C:2
D:0.5
答案: 1
5、 Find
A:0.5
B:1
C:0
D:1.5
答案: 0.5
6、 Find
A:0
B:1
C:2
D:-1
答案: 0
7、 Find
A:
B:
C:0
D:1
答案:
8、 At what points are the function
continuous?
A:Discontinuous at odd integer multiples of
, but continuous at all other x.
B:Discontinuous at even integer multiples of
, but continuous at all other x.
C:Continuous at odd integer multiples of
, but discontinuous at all other x.
D:Continuous at even integer multiples of
, but discontinuous at all other x.
答案: Discontinuous at odd integer multiples of
, but continuous at all other x.
9、 Find the limit of the function
and is the function continuous at the point being approached?
A:The limit is 0 and the function is continuous at
B:The limit is 0 and the function is discontinuous at
C:The limit is 1 and the function is continuous at
D:The limit is 1 and the function is discontinuous at
答案: The limit is 0 and the function is continuous at
10、 For
find the number
by using the two steps learned in 2.3.
A:0.055
B:0.06
C:0.07
D:0.05
答案: 0.05
3 Differentiation Quiz for Chapter 3
1、 Find the derivative of the function below at x=0,
A:0
B:1
C:It does not exist
D:-1
答案: It does not exist
2、 Let
The tangent line to the graph of g(x) at (0,0) is ( ).
A:x-axis
B:y-axis
C:y=x
D:no tangent line
答案: x-axis
3、 Let
,Then
A:18(x+1)
B:18x(x+1)
C:6x(x+1)
D:6(x+1)
答案: 18x(x+1)
4、 The derivative of
is( )
A:
B:
C:
D:
答案:
5、 Find the derivative of the function
It is ( )
A:
B:
C:
D:
答案:
6、 Find y’ , if
A:
B:
C:
D:
答案:
7、 Find the tangent to the folium of descartes
at the point (3,3)
A:2x+y=9
B:2x-y=9
C: x-y=6
D:x+y=6
答案: x+y=6
8、 The linearization of the function
at x=1 is ( ).
A:
B:
C:
D:
答案:
9、 Calculate
The limit is ( )
A:0
B:-1
C:
D:1
答案: 1
10、 If
then
.
A:
B:
C:
D:
答案:
4 Applications of Derivatives Quiz for Chapter 4
1、 If f (x) is continuous on (−1, 1), and
then
A:
B:
C:
D:
答案:
2、 If
then
A:
B:
C:
D:
答案:
3、 If f (x) has continuous second-order derivative, and
then
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