Uploaded by Hasan Majed

AIO-102-5.2 ( Area )

advertisement
L.E: 01-17-23
Chapter 5.2
Areas
Suggested Practice Exercises
Chapter 5.2
Example 07
find the sum by adding each term together. Use the summation
capabilities of a graphing utility to verify your result.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 07
find the sum by adding each term together. Use the summation
capabilities of a graphing utility to verify your result.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 15
use sigma notation to write the sum
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 15
use sigma notation to write the sum
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 20
Use the properties of summation and Theorem 5.2 to
evaluate the sum. Use the summation capabilities
of a graphing utility to verify your result.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 20
Use the properties of summation and Theorem 5.2 to
evaluate the sum. Use the summation capabilities
of a graphing utility to verify your result.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 27
Use the summation formulas to rewrite the expression
without the summation notation. Use the result to
find the sums for n 10, 100, 1000, and 10,000.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 27
Use the summation formulas to rewrite the expression
without the summation notation. Use the result to
find the sums for n 10, 100, 1000, and 10,000.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 31
use left and right endpoints and the given number of
rectangles to find two approximations of the area of the
region between the graph of the function and the x-axis over
the given interval.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 37
use upper and lower sums to approximate the area of the region
using the given number of subintervals (of equal width).
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 37
use upper and lower sums to approximate the area of the region
using the given number of subintervals (of equal width).
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 44
find the upper and lower sums for the region bounded by the
graph of the function and the x-axis on the given interval.
Leave your answer in terms of n, the number of subintervals.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 44
find the upper and lower sums for the region bounded by the
graph of the function and the x-axis on the given interval.
Leave your answer in terms of n, the number of subintervals.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 55
use the limit process to find the area of the region bounded by
the graph of the function and the x-axis over the given
interval. Sketch the region.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 55
use the limit process to find the area of the region bounded by
the graph of the function and the x-axis over the given
interval. Sketch the region.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 59
use the limit process to find the area of the region bounded by
the graph of the function and the y-axis over the given yinterval. Sketch the region.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 59
use the limit process to find the area of the region bounded by
the graph of the function and the y-axis over the given yinterval. Sketch the region.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 67
use the Midpoint Rule with n 4 to approximate the area of
the region bounded by the graph of the function and the
x-axis over the given interval.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Suggested Practice Exercises
Chapter 5.2
Example 67
use the Midpoint Rule with n 4 to approximate the area of
the region bounded by the graph of the function and the
x-axis over the given interval.
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Larsons Calculus
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 01
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 201
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 01
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 201
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 02
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 191
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 02
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 191
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 03
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 183
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 03
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 183
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 04
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 182
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 04
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 182
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 05
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 181
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 05
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 181
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 06
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 173
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 06
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 173
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 07
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 172
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 07
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 172
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 08
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 171
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 08
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 171
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 09
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 111
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 09
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 111
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 10
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 061
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 10
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 061
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 11
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 121
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 11
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 121
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 12
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 102
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 12
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 102
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 13
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 093
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 13
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 093
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 14
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 102
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 14
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 102
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 15
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 071
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 15
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 071
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 16
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 081
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 16
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 081
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 17
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 203
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 17
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 203
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 18
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 083
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 18
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 083
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 19
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 091
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 19
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 091
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Rabab
Old Exam
Chapter 5.2
Question 20
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 092
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 20
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 092
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 21
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 092
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 21
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 092
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 22
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 101
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 22
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 101
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 23
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 112
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 23
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 112
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 24
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 112
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 24
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 112
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Baraa Khaldi
Old Exam
Chapter 5.2
Question 26
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 211
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 26
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 211
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 27
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 153
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 27
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 153
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 28
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 161
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 28
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 161
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 29
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 162
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 29
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 162
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 30
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 163
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 30
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 163
All Rights belong to s2021xxxxxs’ Students
NEXT
Old Exam
Chapter 5.2
Question 31
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 212
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 31
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 212
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 32
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 113
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 32
A)
B)
C)
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 113
All Rights belong to s2021xxxxxs’ Students
NEXT
Solved By : Alhassan
Old Exam
Chapter 5.2
Question 34
A)
B)
‫ﻋودا ﺣﻣﯾدا‬
C)
‫ﺗﺎﺑﻌوا ﻗﯾم اوف ﺛروﻧز‬
D)
E)
Designed By : Baro∅
Baraa Khaldi
PREVIOUS
Term : 203
All Rights belong to s2021xxxxxs’ Students
NEXT
Download