Q. 35 The signed area between the grap... [FREE SOLUTION]

Chapter 4: Q. 35 (page 405)

The signed area between the graph of $f (x) = 3 x^{2} - 7 x + 2$ and the $x$ -axis on $[0, 4] .$

Short Answer

Expert verified

The area between the graph of $f (x)$ and $x$ is $16 .$

Step by step solution

Step 1. Given information

The given function is $f (x) = 3 x^{2} - 7 x + 2,$ we need to sign the area between the graph of $f (x)$ and the $x$ -axis on $[0, 4] .$

Step 2. Calculation

$f (x) = 3 x^{2} - 7 x + 2 .$

The sign area between the graph of $f (x)$ and the $x$ -axis on $[0, 4]$ is,

$A = {鈭�}_{0}^{4} f (x) d x .$

$= {鈭�}_{0}^{4} (3 x^{2} - 7 x + 2) d x .$

$= {[\frac{3 x^{3}}{3} - 7 (\frac{x^{2}}{2}) + 2 x]}_{0}^{4} .$

$= {(4)}^{3} - \frac{7}{2} {(4)}^{2} + 2 (4) .$

$= 64 - 56 + 8 .$

$= 16 .$

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91影视

The signed area between the graph of $f (x) = 3 x^{2} - 7 x + 2$ and the $x$ -axis on $[0, 4] .$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

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91影视

The signed area between the graph of fx=3x2-7x+2and the x-axis on0,4.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

The signed area between the graph of $f (x) = 3 x^{2} - 7 x + 2$ and the $x$ -axis on $[0, 4] .$