The function f whose graph is shown. Estimate L 4 and M 4 on [ 0 , 4 ]

Question

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Answer 1

Question

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

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Answer 2

Question

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

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Answer 3

Question

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

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Answer 4

Question

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

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Answer 5

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

Answer 6

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

Answer 7

Chapter 5, Problem 1CRE

To determine

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Answer 8

Expert Solution & Answer

Answer to Problem 1CRE

Solution:

$L_{4}$ =5.75 and $M_{4}$ =7.1

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given:

The function graph is shown

CALCULUS (CLOTH), Chapter 5, Problem 1CRE

Formula used:

$L_{4}$ = $h \sum_{k = 0}^{3} f (x_{k})$

$M_{4}$ = $h \sum_{k = 0}^{4} f (x_{k}^{*})$

$h = \frac{b - a}{n}$

Calculation:

Here $n$ =4, $h = \frac{4 - 0}{4} = 1$

Substituting values in $L_{4}$ we get

$L_{4}$ = $1 [f (0) + f (1) + f (2) + f (3)]$

= $[0.25 + 1 + 2.5 + 2]$

=5.75

Substituting the values in $M_{4}$ we get

$M_{4} = 1 [f (0.5) + f (1.5) + f (2.5) + f (3.5)]$

= $0.5 + 2 + 2.3 + 2.3$

=7.1

Answer 12

Ch. 5.1 - Prob. 1PQ Ch. 5.1 - Prob. 2PQ Ch. 5.1 - Prob. 3PQ Ch. 5.1 - Prob. 4PQ Ch. 5.1 - Prob. 5PQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

The function f whose graph is shown. Estimate L 4 and M 4 on [ 0 , 4 ]

Videos

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$

Answer to Problem 1CRE

Explanation of Solution

Want to see more full solutions like this?

Chapter 5 Solutions

The function f whose graph is shown. Estimate L 4 and M 4 on [ 0 , 4 ]

Videos

To find: The function f whose graph is shown. Estimate L4 and M4 on [0,4]

Answer to Problem 1CRE

Explanation of Solution

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Chapter 5 Solutions

To find:

The function $f$ whose graph is shown. Estimate $L_{4} and M_{4} on [0, 4]$