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Ilia_Sergeevich [38]
3 years ago
13

Is my answer correct? If not please help.

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0
I think you are correct
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Solve in attachment....​
olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\displaystyle  \int_{0} ^{1} 5x \sqrt{x} dx

use constant integration rule which yields:

\displaystyle  5\int_{0} ^{1} x \sqrt{x} dx

notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

once again use law of exponent which yields:

\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

simplify which yields:

\displaystyle  2 {x}^{2}  \sqrt{x}   \bigg|  _{0} ^{1}

recall fundamental theorem:

\displaystyle  2 (  {1}^{2}) (\sqrt{1}  ) - 2( {0}^{2} )( \sqrt{0)}

simplify:

\displaystyle  2

hence

our answer is A

8 0
3 years ago
Read 2 more answers
Solves the inequality. Write your final answer in interval notation:<br><br> -3(2x+1) &gt; -2(x+6)
3241004551 [841]

-3(2x+1) > -2(x+6)

-6x -3 > -2x - 12


-6x -3+6x > -2x - 12+6x


-3>4x-12


-3+12>4x-12+12

9 > 4x

4x<9

x<4/9


(-∞, 4/9)

7 0
3 years ago
Which graph represents the equation y = 1/3x +2
love history [14]

Answer:

No graph attached, but it would look like;

The y intercept (the line which meets the y axis) would be at positive 2,

it would then rise one and go over 3 to the right because they are both positive.

7 0
3 years ago
Read 2 more answers
I’m confused on this one
eduard

The question is asking you to find the measure of YZ's arc.

The arc of a circle is found by finding the central angle. In this case, that's angle YCZ. Remember that a circle's total degrees is 360. Since the angle that you are trying to find is 16% of the circle, you need to find 16% of 360.

360*0.16 = 57.6

The measure of arc YZ is 57.6 degrees.

6 0
3 years ago
Si a -5 se le resta -8 Y al total se le agrega 2, ¿Que numero resulta?
raketka [301]

Answer:

- 11

Step-by-step explanation:

- 8 - 5 + 2

- 13 + 2

- 11

3 0
3 years ago
Read 2 more answers
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