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1 year ago

Find the indefinite integral. Check your answer by differentiation.[ 2x (x² + 3) ³dx =+C

Mathematics

1 answer:

nlexa [21]1 year ago

8 0

Answer: ((x^2 + 3)^9)/9 +c

Step-by-step explanation:

Let, x² + 3 = u

⇒2x dx = du

Now, substituting, we get,

∫u^8 du

= (u^(8+1))/(8+1)

= (u^9)/9

= ((x^2 + 3)^9)/9 +c

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HELP PLEASE!!!! A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. Th

Bingel [31]

First, always draw. You learned to draw in kindergarben (Yes I spelled it like that on purpose LOL) for a reason.

1) Draw your rectangle on a piece of paper or paint.
2) Scale factor each side to enlarge which means you're going to multiply.
--- Note if it said 'to reduce' then you would divide.
3) Then find the area by multiplying the two given sides (12 x 6 = 72).
4) Don't forget your unit of measurement - 72ft²

So your answer is D.

3 0

3 years ago

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Three pipes A, B and C take 24, 36 and 32 hours to fill a pool, respectively. How long would it take the three pipes to fill the

Murrr4er [49]

Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = $\frac{288}{24} = 12\ units$

Total units filled by pipe B in one hour = $\frac{288}{36} = 8\ units$

Total units filled by pipe C in one hour = $\frac{288}{32} = 9\ units$

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = $12\times 3 =36\ units$

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = $\frac{232}{29} = 8\ hours$

Total time taken = 4 + 8 = <em>12 hours</em>

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3 years ago

Find the distance between (-3,2) and (5, -6) using the distant formula.

spin [16.1K]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[5-(-3)]^2+[-6-2]^2}\implies d=\sqrt{(5+3)^2+(-8)^2} \\\\\\ d=\sqrt{8^2+8^2}\implies d=\sqrt{2(8^2)}\implies d=8\sqrt{2}$

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4 years ago

The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.

san4es73 [151]

Answer: An equation is *629 = n - 99. The geometry book has 728 pages*

Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.

Hope this helps! :)

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3 years ago

The general form of the equation of a circle is Ax2 + By2 + Cx + Dy + E = 0, where A = B 0. If the circle has a radius of 3 unit

Anettt [7]

(x-h)^2 + (y-k)^2 = r^2

r=3
(x-h)^2 + (y-k)^2 = 3^2

the center lies on the y-axis --> h=0
x^2 + (y-k)^2 = 3^2 = 9

expand
x^2 + y^2 -2ky + k^2 = 9

x^2 + y^2 -2ky + (k^2 - 9) = 0
compare to general form
A=1 , B=1 and C =0
D= -2k and E=k^2 - 9

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3 years ago

Read 2 more answers