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Deck 9: Section 7: Infinite Series
ملء الشاشة (f)
سؤال
Find the Maclaurin polynomial of degree 3 for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Determine the values of x for which the function 
can be replaced by the Taylor polynomial 
if the error cannot exceed 0.008. Round your answer to four decimal places.
A)
B)
C)
D)
E)
can be replaced by the Taylor polynomial if the error cannot exceed 0.008. Round your answer to four decimal places.A)
B)
C)
D)
E)
سؤال
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at 
. What is P1 called? 
A)
; tangent line to 
at 
B)
; secant line to 
at 
C)
; tangent line to 
at 
D)
; differential of 
at 
E)
; tangent line to 
at 
. What is P1 called? A)
; tangent line to at B)
; secant line to at C)
; tangent line to at D)
; differential of at E)
; tangent line to at سؤال
Find the Maclaurin polynomial of degree 4 for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the Maclaurin polynomial of degree two for the function 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
Consider the function 
and its second-degree polynomial 
at 
Compute the value of 
and 
Round your answer to four decimal places.
A)
B)
C)
D)
E)
and its second-degree polynomial at Compute the value of and Round your answer to four decimal places.A)
B)
C)
D)
E)
سؤال
Find the fourth degree Maclaurin polynomial for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the third degree Taylor polynomial centered at 
for the function. 
A)
B)
C)
D)
E)
for the function. A)
B)
C)
D)
E)
سؤال
Find the third Taylor polynomial for 
expanded about 
.
A)
B)
C)
D)
E)
expanded about .A)
B)
C)
D)
E)
سؤال
The fourth Taylor polynomial for 
, expanded about 
is 
. Use this polynomial to approximate the value of 
. Round your answer to four decimal places.
A) 2.9184
B) 2.6976
C) 3.0144
D) 0.5664
E) 0.5376
, expanded about is . Use this polynomial to approximate the value of . Round your answer to four decimal places.A) 2.9184
B) 2.6976
C) 3.0144
D) 0.5664
E) 0.5376
سؤال
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at 
. What is P1 called? 
A)
tangent line to 
at 
B)
secant line to 
at 
C)
secant line to 
at 
D)
secant line to 
at 
E)
tangent line to 
at 
. What is P1 called? A)
tangent line to at B)
secant line to at C)
secant line to at D)
secant line to at E)
tangent line to at سؤال
What is 
a first-degree polynomial function whose value and slope agree with the value and slope of 
at 
?
A)
is the tangent line to the curve 
at the point 
B)
is the tangent line to the curve 
at the point 
C)
is the tangent line to the curve 
at the point 
D)
is the tangent line to the curve 
at the point 
E)
is the tangent line to the curve 
at the point 
a first-degree polynomial function whose value and slope agree with the value and slope of at ?A)
is the tangent line to the curve at the point B)
is the tangent line to the curve at the point C)
is the tangent line to the curve at the point D)
is the tangent line to the curve at the point E)
is the tangent line to the curve at the point سؤال
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function 
to be less than 0.001.
A)
B) 2
C) 5
D) 1
E) 3
to be less than 0.001.A)
B) 2
C) 5
D) 1
E) 3
سؤال
Find the Maclaurin polynomial of degree 5 for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the Maclaurin polynomial of degree 4 for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of 
at 
.
A)
B)
C)
D)
E)
at .A)
B)
C)
D)
E)
سؤال
Find the fourth degree Taylor polynomial centered at 
for the function. 
A)
B)
C)
D)
E)
for the function. A)
B)
C)
D)
E)
سؤال
Use a graphing utility to graph 
and P1, a first-degree polynomial function whose value and slope agree with the value and slope of f at 
.
A)
B)
C)
D)
E)
and P1, a first-degree polynomial function whose value and slope agree with the value and slope of f at .A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 9: Section 7: Infinite Series
1
Find the Maclaurin polynomial of degree 3 for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.008. Round your answer to four decimal places.
A)
B)
C)
D)
E)
can be replaced by the Taylor polynomial if the error cannot exceed 0.008. Round your answer to four decimal places.A)
B)
C)
D)
E)
3
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at . What is P1 called?
A) ; tangent line to at
B) ; secant line to at
C) ; tangent line to at
D) ; differential of at
E) ; tangent line to at
. What is P1 called? A)
; tangent line to at B)
; secant line to at C)
; tangent line to at D)
; differential of at E)
; tangent line to at ; tangent line to at 4
Find the Maclaurin polynomial of degree 4 for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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5
Find the Maclaurin polynomial of degree two for the function .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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6
Consider the function and its second-degree polynomial at Compute the value of and Round your answer to four decimal places.
A)
B)
C)
D)
E)
and its second-degree polynomial at Compute the value of and Round your answer to four decimal places.A)
B)
C)
D)
E)
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7
Find the fourth degree Maclaurin polynomial for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Find the third degree Taylor polynomial centered at for the function.
A)
B)
C)
D)
E)
for the function. A)
B)
C)
D)
E)
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9
Find the third Taylor polynomial for expanded about .
A)
B)
C)
D)
E)
expanded about .A)
B)
C)
D)
E)
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10
The fourth Taylor polynomial for , expanded about is . Use this polynomial to approximate the value of . Round your answer to four decimal places.
A) 2.9184
B) 2.6976
C) 3.0144
D) 0.5664
E) 0.5376
, expanded about is . Use this polynomial to approximate the value of . Round your answer to four decimal places.A) 2.9184
B) 2.6976
C) 3.0144
D) 0.5664
E) 0.5376
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11
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at . What is P1 called?
A) tangent line to at
B) secant line to at
C) secant line to at
D) secant line to at
E) tangent line to at
. What is P1 called? A)
tangent line to at B)
secant line to at C)
secant line to at D)
secant line to at E)
tangent line to at فتح الحزمة
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12
What is a first-degree polynomial function whose value and slope agree with the value and slope of at ?
A) is the tangent line to the curve at the point
B) is the tangent line to the curve at the point
C) is the tangent line to the curve at the point
D) is the tangent line to the curve at the point
E) is the tangent line to the curve at the point
a first-degree polynomial function whose value and slope agree with the value and slope of at ?A)
is the tangent line to the curve at the point B)
is the tangent line to the curve at the point C)
is the tangent line to the curve at the point D)
is the tangent line to the curve at the point E)
is the tangent line to the curve at the point فتح الحزمة
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13
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function to be less than 0.001.
A)
B) 2
C) 5
D) 1
E) 3
to be less than 0.001.A)
B) 2
C) 5
D) 1
E) 3
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14
Find the Maclaurin polynomial of degree 5 for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Find the Maclaurin polynomial of degree 4 for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of at .
A)
B)
C)
D)
E)
at .A)
B)
C)
D)
E)
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17
Find the fourth degree Taylor polynomial centered at for the function.
A)
B)
C)
D)
E)
for the function. A)
B)
C)
D)
E)
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18
Use a graphing utility to graph and P1, a first-degree polynomial function whose value and slope agree with the value and slope of f at .
A)
B)
C)
D)
E)
and P1, a first-degree polynomial function whose value and slope agree with the value and slope of f at .A)
B)
C)
D)
E)
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