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Taya2010 [7]
2 years ago
8

Calculate y'. xy^4+x^2y=x+3y

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
4 0
Y^4 + 4xy^3 (y') + 2xy + x^2 (y') = 1 + 3 (y')
(y')(4xy^3 + x^2 - 3) = 1 -y^4 -2xy

I'll let you do the next line
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Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
2 years ago
A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

Hence x= 3 inch should be turned up on each side

3 0
3 years ago
Helena foi a feira com certa quantia. Gastou metade dessa quantia na banca de frutas e um terço dessa quantia na banca de verdur
Aleonysh [2.5K]

Answer:

english pleas

Step-by-step explanation:

5 0
2 years ago
What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
liq [111]

Answer:

Area of given figure = 96 unit²

Step-by-step explanation:

Given:

Length of shape = 4 unit

Width of shape = 4 unit

Height of shape = 4 unit

Find:

Area of given figure

Computation:

All side of figure all equal

So,

Given figure is a cube

Number of faces of cube = 6

Area of base = side x side

Area of base = 4 x 4

Area of base = 16 unit²

Area of given figure = Area of base x Number of faces of cube

Area of given figure = 16 x 6

Area of given figure = 96 unit²

8 0
2 years ago
X+y= -9<br> x+2y= -25<br><br> According to the system of equations above, what is the value of y?
Varvara68 [4.7K]
Try this option:
if x+y=-9 is I (one)
and x+2y=-25 is II (two), then
if II-I, then (x+2y)-(x+y)=-25+9 ⇔ y=-16.
6 0
3 years ago
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