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jasenka [17]
3 years ago
7

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves

about the specified axis.
y = sqrt(x), y = x^2; about y = 2
or y = \sqrt{x}, y = x^2; about y = 2

Mathematics
1 answer:
Radda [10]3 years ago
4 0
A washer has outer radius 2-x^2 and inner radius 2 - \sqrt{x}

\displaystyle V = \int_0^1 \pi\Big[ \left( 2 - x^2 \right)^2 - \left( 2 - \sqrt{x}\right)^2\Big] dx

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This diagram shows the dimensions of a concrete piece used to build a deck.
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If you help me with my last question I will help you with this one

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Georgia [21]
180
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Read 2 more answers
Factor 125x3 + 343y3
Annette [7]

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b² )

125x³ = (5x)³ ⇒ a = 5x

343y³ = (7y)³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)

= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form

5 0
3 years ago
  1) 5x-2y=4.         2) 3x-5y=13  x-2y=5<br>3x+y=9
Natali [406]
\left\{\begin{array}{ccc}5x-2y=4\\3x+y=9&/\cdot2\end{array}\right\\+\left\{\begin{array}{ccc}5x-2y=4\\6x+2y=18\end{array}\right\\----------\\.\ \ \ \ \ 11x=22\ \ \ \ /:11\\.\ \ \ \ \ \ \ x=2\\\\3\cdot2+y=9\\6+y=9\\y=9-6\\y=3\\\\Answer:x=2;\ y=3


\left\{\begin{array}{ccc}3x-5y=13\\x-2y=5\end{array}\right\\\left\{\begin{array}{ccc}3x-5y=13\\x=2y+5\end{array}\right\\\\substitute:\\\\3(2y+5)-5y=13\\6y+15-5y=13\\y=13-15\\y=-2\\\\x=2\cdot(-2)+5=-4+5=1\\\\Answer:x=1;\ y=-2.
5 0
3 years ago
If x=2 and y=3 what is 7x+y+16
Vinvika [58]

Answer: 33

Step-by-step explanation:

Input the numbers into the variables.
7(2) + 3 + 16

14 + 3 + 16

17 + 16

33

3 0
2 years ago
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