تكلم مع الذكاء الاصطناعي
Deck 4: Section 6: Integration
ملء الشاشة (f)
سؤال
Use the error formula to estimate the error in approximating the integral 
with 
using Simpson's Rule. Round your answer to six decimal places.
A) 0.007084
B) 0.141676
C) 0.004723
D) 0.003936
E) 0.002530
with using Simpson's Rule. Round your answer to six decimal places.A) 0.007084
B) 0.141676
C) 0.004723
D) 0.003936
E) 0.002530
سؤال
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. 
A) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.
B) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.
C) The Trapezoidal rule gives
and Simpson's rule gives 
.
D) The Trapezoidal rule gives
and Simpson's rule gives 
.
E) The Trapezoidal rule gives
and Simpson's rule gives 
.
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.B) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives . سؤال
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. 
A) The Trapezoidal rule gives
and Simpson's rule gives 
.
B) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.
C) The Trapezoidal rule gives
and Simpson's rule gives 
.
D) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.
E) The Trapezoidal rule gives
and Simpson's rule gives 
.
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives
and Simpson's rule gives .B) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.E) The Trapezoidal rule gives
and Simpson's rule gives . سؤال
Use the Trapezoidal Rule to approximate the value of the definite integral 
with 
. Round your answer to four decimal places.
A) -8.0654
B) -4.0327
C) -2.0164
D) -1.0082
E) -0.5041
with . Round your answer to four decimal places.A) -8.0654
B) -4.0327
C) -2.0164
D) -1.0082
E) -0.5041
سؤال
Use a computer algebra system and Simpson's Rule with 
to approximate t in the integral equation 
. Round your answer to three decimal places.
A) 3.501
B) 3.581
C) 3.901
D) 3.529
E) 3.171
to approximate t in the integral equation . Round your answer to three decimal places.A) 3.501
B) 3.581
C) 3.901
D) 3.529
E) 3.171
سؤال
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. 
A) The Trapezoidal rule gives
and Simpson's rule gives 
.
B) The Trapezoidal rule gives
and Simpson's rule gives 
.
C) The Trapezoidal rule gives
and Simpson's rule gives 
.
D) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
.
E) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
.
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives
and Simpson's rule gives .B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
.E) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
. سؤال
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. 
A) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.
B) The Trapezoidal rule gives
and Simpson's rule gives 
.
C) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.
D) The Trapezoidal rule gives
and Simpson's rule gives 
.
E) The Trapezoidal rule gives
and Simpson's rule gives 
.
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives . سؤال
Find the smallest n such that the error estimate in the approximation of the definite integral 
is less than 0.00001 using Simpson's Rule.
A) 10
B) 16
C) 6
D) 8
E) 13
is less than 0.00001 using Simpson's Rule.A) 10
B) 16
C) 6
D) 8
E) 13
سؤال
Use Simpson's Rule to approximate the value of the definite integral 
with 
. Round your answer to four decimal places.
A)
B)
C)
D)
E)
with . Round your answer to four decimal places.A)
B)
C)
D)
E)
سؤال
Use Simpson's Rule with 
to approximate 
using the equation 
. Round your answer to five decimal places.
A) 3.14159
B) 3.13595
C) 3.14723
D) 3.14381
E) 3.13937
to approximate using the equation . Round your answer to five decimal places.A) 3.14159
B) 3.13595
C) 3.14723
D) 3.14381
E) 3.13937
سؤال
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using 
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. 
A) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.
B) The Trapezoidal rule gives
and Simpson's rule gives 
.
C) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.
D) The Trapezoidal rule gives
and Simpson's rule gives 
.
E) The Trapezoidal rule gives
and Simpson's rule gives 
.
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives . سؤال
Find the smallest n such that the error estimate in the approximation of the definite integral 
is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.
A) 208
B) 189
C) 196
D) 201
E) 188
is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.A) 208
B) 189
C) 196
D) 201
E) 188
سؤال
Find the smallest n such that the error estimate in the approximation of the definite integral 
is less than 0.00001 using Simpson's Rule.
A) 48
B) 8
C) 11
D) 14
E) 19
is less than 0.00001 using Simpson's Rule.A) 48
B) 8
C) 11
D) 14
E) 19
سؤال
Use the Trapezoid Rule to approximate the value of the definite integral 
wth 
. Round your answer to four decimal places.
A)
B)
C)
D)
E)
wth . Round your answer to four decimal places.A)
B)
C)
D)
E)
سؤال
Use Simpson's Rule to approximate the value of the definite integral 
with 
. Round your answer to four decimal places.
A) 2.9784
B) 3.0627
C) 8.0100
D) 10.6800
E) 2.6700
with . Round your answer to four decimal places.A) 2.9784
B) 3.0627
C) 8.0100
D) 10.6800
E) 2.6700
سؤال
Estimate the error in using (a) the Trapezoidal Rule and (b) Simpson's Rule with 
when approximating the following integral. 
A) The error for the Trapezoidal Rule is 0.0051 and for Simpson's Rule it is 0.0013.
B) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200.
C) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0200.
D) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0000.
E) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0000.
when approximating the following integral. A) The error for the Trapezoidal Rule is 0.0051 and for Simpson's Rule it is 0.0013.
B) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200.
C) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0200.
D) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0000.
E) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0000.
سؤال
Use the error formula to estimate the error in approximating the integral 
with 
using Trapezoidal Rule.
A) 3
B) 1
C) 6
D) 0
E) 9
with using Trapezoidal Rule.A) 3
B) 1
C) 6
D) 0
E) 9
سؤال
Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral 
is less than 0.00001 using the Trapezoidal Rule.
A) 49
B) 26
C) 73
D) 30
E) 15
is less than 0.00001 using the Trapezoidal Rule.A) 49
B) 26
C) 73
D) 30
E) 15
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/18
العب
ملء الشاشة (f)
Deck 4: Section 6: Integration
1
Use the error formula to estimate the error in approximating the integral with using Simpson's Rule. Round your answer to six decimal places.
A) 0.007084
B) 0.141676
C) 0.004723
D) 0.003936
E) 0.002530
with using Simpson's Rule. Round your answer to six decimal places.A) 0.007084
B) 0.141676
C) 0.004723
D) 0.003936
E) 0.002530
0.003936
2
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
A) The Trapezoidal rule gives 16.3400 and Simpson's rule gives .
B) The Trapezoidal rule gives 16.3400 and Simpson's rule gives .
C) The Trapezoidal rule gives and Simpson's rule gives .
D) The Trapezoidal rule gives and Simpson's rule gives .
E) The Trapezoidal rule gives and Simpson's rule gives .
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.B) The Trapezoidal rule gives 16.3400 and Simpson's rule gives
.C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives .The Trapezoidal rule gives and Simpson's rule gives .
and Simpson's rule gives . 3
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
A) The Trapezoidal rule gives and Simpson's rule gives .
B) The Trapezoidal rule gives 1.3973 and Simpson's rule gives .
C) The Trapezoidal rule gives and Simpson's rule gives .
D) The Trapezoidal rule gives 1.3973 and Simpson's rule gives .
E) The Trapezoidal rule gives and Simpson's rule gives .
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives
and Simpson's rule gives .B) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives 1.3973 and Simpson's rule gives
.E) The Trapezoidal rule gives
and Simpson's rule gives .The Trapezoidal rule gives and Simpson's rule gives .
and Simpson's rule gives . 4
Use the Trapezoidal Rule to approximate the value of the definite integral with . Round your answer to four decimal places.
A) -8.0654
B) -4.0327
C) -2.0164
D) -1.0082
E) -0.5041
with . Round your answer to four decimal places.A) -8.0654
B) -4.0327
C) -2.0164
D) -1.0082
E) -0.5041
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
5
Use a computer algebra system and Simpson's Rule with to approximate t in the integral equation . Round your answer to three decimal places.
A) 3.501
B) 3.581
C) 3.901
D) 3.529
E) 3.171
to approximate t in the integral equation . Round your answer to three decimal places.A) 3.501
B) 3.581
C) 3.901
D) 3.529
E) 3.171
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
6
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
A) The Trapezoidal rule gives and Simpson's rule gives .
B) The Trapezoidal rule gives and Simpson's rule gives .
C) The Trapezoidal rule gives and Simpson's rule gives .
D) The Trapezoidal rule gives 1.366795 and Simpson's rule gives .
E) The Trapezoidal rule gives 1.366795 and Simpson's rule gives .
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives
and Simpson's rule gives .B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives
and Simpson's rule gives .D) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
.E) The Trapezoidal rule gives 1.366795 and Simpson's rule gives
. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
7
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
A) The Trapezoidal rule gives 43.377044 and Simpson's rule gives .
B) The Trapezoidal rule gives and Simpson's rule gives .
C) The Trapezoidal rule gives 43.377044 and Simpson's rule gives .
D) The Trapezoidal rule gives and Simpson's rule gives .
E) The Trapezoidal rule gives and Simpson's rule gives .
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives 43.377044 and Simpson's rule gives
.D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
8
Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.
A) 10
B) 16
C) 6
D) 8
E) 13
is less than 0.00001 using Simpson's Rule.A) 10
B) 16
C) 6
D) 8
E) 13
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
9
Use Simpson's Rule to approximate the value of the definite integral with . Round your answer to four decimal places.
A)
B)
C)
D)
E)
with . Round your answer to four decimal places.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
10
Use Simpson's Rule with to approximate using the equation . Round your answer to five decimal places.
A) 3.14159
B) 3.13595
C) 3.14723
D) 3.14381
E) 3.13937
to approximate using the equation . Round your answer to five decimal places.A) 3.14159
B) 3.13595
C) 3.14723
D) 3.14381
E) 3.13937
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
11
Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.
A) The Trapezoidal rule gives 0.7100 and Simpson's rule gives .
B) The Trapezoidal rule gives and Simpson's rule gives .
C) The Trapezoidal rule gives 0.7100 and Simpson's rule gives .
D) The Trapezoidal rule gives and Simpson's rule gives .
E) The Trapezoidal rule gives and Simpson's rule gives .
subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral. A) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.B) The Trapezoidal rule gives
and Simpson's rule gives .C) The Trapezoidal rule gives 0.7100 and Simpson's rule gives
.D) The Trapezoidal rule gives
and Simpson's rule gives .E) The Trapezoidal rule gives
and Simpson's rule gives . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
12
Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.
A) 208
B) 189
C) 196
D) 201
E) 188
is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.A) 208
B) 189
C) 196
D) 201
E) 188
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
13
Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using Simpson's Rule.
A) 48
B) 8
C) 11
D) 14
E) 19
is less than 0.00001 using Simpson's Rule.A) 48
B) 8
C) 11
D) 14
E) 19
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
14
Use the Trapezoid Rule to approximate the value of the definite integral wth . Round your answer to four decimal places.
A)
B)
C)
D)
E)
wth . Round your answer to four decimal places.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
15
Use Simpson's Rule to approximate the value of the definite integral with . Round your answer to four decimal places.
A) 2.9784
B) 3.0627
C) 8.0100
D) 10.6800
E) 2.6700
with . Round your answer to four decimal places.A) 2.9784
B) 3.0627
C) 8.0100
D) 10.6800
E) 2.6700
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
16
Estimate the error in using (a) the Trapezoidal Rule and (b) Simpson's Rule with when approximating the following integral.
A) The error for the Trapezoidal Rule is 0.0051 and for Simpson's Rule it is 0.0013.
B) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200.
C) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0200.
D) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0000.
E) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0000.
when approximating the following integral. A) The error for the Trapezoidal Rule is 0.0051 and for Simpson's Rule it is 0.0013.
B) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200.
C) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0200.
D) The error for the Trapezoidal Rule is 0.0204 and for Simpson's Rule it is 0.0000.
E) The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0000.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
17
Use the error formula to estimate the error in approximating the integral with using Trapezoidal Rule.
A) 3
B) 1
C) 6
D) 0
E) 9
with using Trapezoidal Rule.A) 3
B) 1
C) 6
D) 0
E) 9
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
18
Find the smallest n such that the error estimate from the error formula in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule.
A) 49
B) 26
C) 73
D) 30
E) 15
is less than 0.00001 using the Trapezoidal Rule.A) 49
B) 26
C) 73
D) 30
E) 15
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 18 في هذه المجموعة.
