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Hunter-Best [27]
3 years ago
10

A solid right​ (noncircular) cylinder has its base R in the​ xy-plane and is bounded above by the paraboloid zequalsx2plusy2. Th

e​ cylinder's volume is VequalsIntegral from 0 to 1 Integral from 0 to y (x squared plus y squared )dx dyplusIntegral from 1 to 2 Integral from 0 to 2 minus y (x squared plus y squared )dx dy Sketch the base of the region R and express the​ cylinder's volume as a single iterated integral with the order of integration reversed. Then evaluate the integral to find the volume.

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

a. V = 4/3

b. See attachment

Step-by-step explanation:

a.

Given

Z = x² + y²

V = ∫ ∫ (x² + y²) dxdy {0,1}{0,y} + ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}

V = ∫ ∫ (x² + y²) dxdy {0,1}{x,2-x}

Integrate with respect to y

V = ∫ x²y+ y³/3 dx {0,1}{x,2-x}

V = ∫ x²(2-x) + (2-x)³/3 - x²(2) - (2)³/3 dx {0,1}

V = ∫ 2x² -7x³/3 + (2-x)³/3 dx {0,1}

V = 2x³/3 - 7x⁴/12 + (2-x)⁴/12 {0,1}

V = (⅔ - 7/4 + 2/12) - (0-0+16/12)

V = 4/3

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Help please i will give 30 points
Nata [24]

Answer:

C. 7h + 50 > 99

Step-by-step explanation:

She earns <u>more</u> than $99, so you know that the sign will be > (more than).

h is the number of hours, so to find how much she earns for working h hours at $7/hour, you multiply h by 7  ---  7h

She also earns an additional $50, which will be +50.

Therefore, the equation is: 7h + 50 > 99

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2 years ago
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Misha Larkins [42]
The answer would be 1/5
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3 years ago
Amy is cooking muffins the recipe calls for 3 5/7 cups of sugar. She has already put in 2 1/10 cups. How many more cups does she
nikitadnepr [17]

Answer:

1.61428571429

Step-by-step explanation:

That would be about 1.62. You do 3 5/7-2 1/10. That would equal to 1.61428571429.

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3 years ago
Find the area of the figure. Use 3.14 for A.
Masteriza [31]

Answer:

38.13 m^2

Step-by-step explanation:

the area of a triangle =b*h/2

b=base

h=height

area triangle=(4m*3m)/2=(12m^2)/2=6m^2

the area of a rectangle =b*h

b=base

h=height

area of a rectangle=6m*3m=18m^2

area of a semi circle=(pi*r^2)/2

r=radius

area of a semi circle==(3.14*(3m)^2)/2=14.13m^2

area of the figure=6m^2+18m^2+14.13m^2=38.13m^2

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Answer:

£60

Step-by-step explanation:

Let x be the original price.

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x \times 90/100 = 54

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3 years ago
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