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solmaris [256]
2 years ago
12

A cylindrical barrel with a diameter of 6 meters contains collected rainwater, as shown in the figure above. The

Mathematics
1 answer:
Jlenok [28]2 years ago
7 0

Answer:

(a) the rate of volume of water= g√10π/5m³/s

(b) height of water decreasing with time at the rate of -2√2/5

(c) the expression for h is

(-t/10+4)²

Step-by-step explanation:

Check attachment

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin
aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the y = 4x  and  y = \frac{x^{2} }{4}.

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

4x = \frac{x^{2} }{4} \\   x^{2}  = 16x \\ x^{2}  - 16x = 0 \\   x(x-16) = 0 then x=0  o  x=16. Therefore the integration limits are:

y = 4(0) = 0  and  y = 4(16) = 64

The inverse functions are given by:

x = 2 \sqrt{y}  and  x = \frac{y}{4}. Then

The volume of the solid of revolution is given by:

\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2}  dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\  dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}

6 0
3 years ago
What is the polygon being Rotated to create the blue quilt block pattern
azamat

Answer: Thats technically a rhombus, but since thats not an option its a parallelogram

Step-by-step explanation:

Answer Is C.

3 0
2 years ago
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Multiply (-8x - 9)(-9x2 + 7x - 9).
Misha Larkins [42]
= <span>(-8x - 9)(-9x2 + 7x - 9)

= 72x</span>³ - 56x² + 72x + 81x² - 63x + 81

= 72x³ + 25x² + 9x + 81

In short, Your Answer would be: Option D

Hope this helps!
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3 years ago
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Which of the following graphs has the largest average rate of change from -1 to 2?​
Morgarella [4.7K]

Answer:

i dont know either

Step-by-step explanation:

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3 years ago
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Factor completely p^2-13p+42
ira [324]
Factoring the expression would look like this : 
(p - 7) (p - 6)
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2 years ago
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