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zzz [600]
3 years ago
9

The volume of this math problem​

Mathematics
2 answers:
Brrunno [24]3 years ago
5 0
Your answer will be “1200”
DerKrebs [107]3 years ago
3 0

The volume of the math problem is 1200 yd.

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Evaluate the integral. pls help me see the steps. thank you​
Alona [7]

Answer:

-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C

Step-by-step explanation:

Use the method of integration by parts. The method is based in the following rule of derivation of two functions f and g :

(fg)' = f'g+fg'\implies fg'=(fg)'-f'g\implies \\\int fg' dx = fg -\int f'g dx

Identify suitable f and g in the original expression. I use:

f=x\,\,\,, \,\,\,g=\sqrt{1-x}\\f'=1\,\,\,,\,\,\,g'=-\frac{2}{3}(1-x)^\frac{3}{2}

and write the integration by parts :

\int x\sqrt{1-x} dx = -\frac{2}{3}x(1-x)^\frac{3}{2}+\frac{2}{3}\int (1-x)^\frac{3}{2}dx=\\ =-\frac{2}{3}x(1-x)^\frac{3}{2}-\frac{4}{15}(1-x)^\frac{5}{2}+C=\\=-\frac{2}{15}(1-x)^\frac{3}{2}(3x+2)+C

with C an arbitrary integration constant.

8 0
2 years ago
4) Pas sock drawer contains only black socks and white socks. There are 28 pairs of socks altogether. The ratio of bsocks towhit
Gekata [30.6K]
There are 8 black socks and 20 white socks. 5 socks times 4 = 20 white socks, and 2 socks times 4 = 8 black socks. So, Pa has 8 black socks.
6 0
3 years ago
A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 1
Maru [420]

Answer: x ≥0,y ≥3000

Step-by-step explanation:

that’s what i put and got it right so ‍♀️

5 0
2 years ago
Jace invested $8,300 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals
kondor19780726 [428]

Answer:

  • $20911

Step-by-step explanation:

<u>Given</u>

  • Investment   P₀ = $8300
  • Interest rate   r = 6.6%
  • Compound = continuous
  • Time   t=14 years
  • P = ?

<u>Formula for continuous compound interest:</u>

  • P = P₀e ^rt, where e = 2.71828, constant used for continuous interest
  • P = 8300*(2.71828)^(14*0.066)
  • P = $20910.57 = $20911 rounded to the nearest dollar

3 0
3 years ago
What is the simplified form of...
Alja [10]

Answer: A) 24 to the square root of 3

Step-by-step explanation: Hope this helps!

8 0
3 years ago
Read 2 more answers
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