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Scrat [10]
3 years ago
15

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x = 4

−(y−1)^2; about the x-axis.
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0
The intersection between the curves are
3, 0
0, 3
The volume of the solids is obtained by
V = ∫ π [ (4 - (y-1)²)² - (3 - y)²] dy with limits from 0 to 3
The volume is
V = 108π/5 or 67.86
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What is the product of -5x^5(-8x^4-9x-9)
Phoenix [80]
-5x^5 * -8x^4 - 5x^5*-9x - 5x^5*-9

= 40x^9 + 45x^6 + 45x^5
5 0
3 years ago
A Pest control company sprays insecticide around the perimeter of a 180 ft by 180 ft building. If the spray costs $.11 per foot,
andreev551 [17]
P = 4a.....this is the perimeter of a square
P = 4(180)
P = 720 ft

and if the spray cost 0.11 per ft......720 * 0.11 = 79.20 rounded to the nearest dollar is $ 79 <==
5 0
3 years ago
Which function families have vertical symmetry?
Nady [450]
The functions which are even are symmetric to y-axis. By even functions, it means that f(x) = f(x) for all the domain values. Thus even functions for example, x^2, 1+x^2, cosx, x^4 all follow the conditions i.e. f(x) = f(x) and thus they are symmterical to y-axis.
8 0
3 years ago
Subtract (5x^2-5) from the sum (x^2-9x+2) and (4x^2-5x+1)
Ivan

Assignment: \bold{Solve \ Equation: \ \left(x^2-9x+2\right)+\left(4x^2-5x+1\right)-\left(5x^2-5\right)}

<><><><><><><>

Answer: \boxed{\bold{-14x+8}}

<><><><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><><><>

[ Step One ] Remove Parenthesis: (a) = a

\bold{x^2-9x+2+4x^2-5x+1-\left(5x^2-5\right)}

[ Step Two ] Simplify \bold{-\left(5x^2-5\right)}

\bold{-5x^2+5}

[ Step Three ] Rewrite Equation

\bold{x^2-9x+2+4x^2-5x+1-5x^2+5}

[ Step Four ] Simplify \bold{x^2-9x+2+4x^2-5x+1-5x^2+5}

\bold{-14x+8}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

3 0
3 years ago
Suppose that we wanted to estimate the true average number of eggs a queen bee lays with 95 percent confidence. The margin of er
svetoff [14.1K]

Answer:

At least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence

Step-by-step explanation:

Minimum sample size required can be found using the formula

N≥(\frac{z*s}{ME} )^2 where

  • N is the sample size
  • z is the corresponding z-score of 95% confidence level (1.96)
  • s is the standard deviation (10)
  • ME is the margin of error (0.5)

then N≥(\frac{1.96*10}{0.5} )^2 =1536.64

Then, at least 1537 samples needed to estimate the true average number of eggs a queen bee lays with 95 percent confidence

6 0
3 years ago
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