Question

18) The area between the lines y=2x x axis and the coordinates at
x=1 and x=3 is ......
A)4sq units B) 1/2sq units c)2sq units D)8 sq units​

Answer 1

Question -Correct

The area between the lines y=2x, x axis and the coordinates at x=1 and x=3 is

(A) 4 sq. units        (B) 1/2 sq. units         (C)2 sq. units         (D)8 sq. units

Answer:

The area between the lines y=2x, x axis & the coordinates at x=1 and x=3 is 8  Sq.Units and option ( D) is correct.

Step-by-step explanation:

Given:

Line equation  y=2 x.  

To Find:

The area between the lines y=2x, x axis & the coordinates at x=1 and x=3.

Formula Used:

The area (A) under the curves  y = f(x) between points have x-coordinates b and a  on  can be calculated  by using the following  formula:

$A=\int\limits^a_b {f(x)} \, dx$

Solution:

As given - line  equation y=2 x.

y=f(x)=2x

Applying formula no.01.

The area ABCD( as per attachment) between the lines y=2x, x axis & the coordinates at x=1 and x=3.

  $=\int\limits^1_3 {2x} \, dx$

 $=| 2.\frac{x^{2} }{2} |_{1} ^{3}$

$=| x^{2} |_{1} ^{3}$

 $=[3^{2}- 1^{2} ]$

$=[9- 1 ]$

$=8 \ Sq.\ Units$

Thus, the area between the lines y=2x, x axis and the coordinates at x=1 and x=3 is 8 Sq.Units and option (D) is correct.

PROJECT CODE # SPJ2

7a562d6efae14b50379fc74184d77ea3.docx