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Scrat [10]
2 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]2 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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The exponent is negative

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Step-by-step explanation:

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French Co. marks up its goods 45% on cost. What is French's equivalent markup on selling price? Round to the nearest hundredth p
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<span>Let
CP ------> cost price
SP ------> Selling price

we know that
SP= CP + 0.45CP
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the answer is 
31.03%

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2 years ago
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
nika2105 [10]

Answer:

20.78feet

Step-by-step explanation:

The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.

tan= opposite side / adjacent side

Let height of the pole =h

Tan(30)= h/36

But tan 30degree= 1/√3

h= 36 × 1/√3

h= 20.78feet

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CHECK THE ATTACHMENT FOR DETAILED FIGURE

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Nostrana [21]

Answer:

x + \frac{b}{2a} =  \frac{+/ -  \sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u><em>Step 1:</em></u>

ax^2+bx+c = 0

<u><em>Step 2:</em></u>

ax^2+bx = -c

<u><em>Step 3:</em></u>

\frac{ax^2+bx}{a} = \frac{-c}{a}

<u><em>Step 4:</em></u>

Adding \frac{b^2}{4a^2} to both sides to complete the square

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

<u><em>Step 5:</em></u>

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}

<u><em>Step 6:</em></u>

Taking square root on both sides

x + \frac{b}{2a} =  \frac{+/ -  \sqrt{b^2-4ac} }{2a}

3 0
2 years ago
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