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mina [271]
3 years ago
11

Solve the given differential equation by separation of variables. csc(y) dx sec2(x) dy

Mathematics
1 answer:
Elden [556K]3 years ago
3 0
Try this solution:
dx/siny=dy/cos2x;
sinydy=cos2xdx;
cosy=-1/2 sin2x+C.
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if the area of a square is 144 feet and the perimeter of the triangle is 28 feet, what is the perimeter of the room's floor?
FinnZ [79.3K]

Answer:

52+12\pi

Step-by-step explanation:

The diagram for the question is attached below

perimeter of the triangle is 28 feet

area of a square is 144 feet

Area of the square is side^2

side ^2= 144

take square root on both sides

side = 12

side of the square = 12

side is the diameter of the semicircle

Diameter = 12 , so radius = 12 divide 2 = 6

circumference of semicircle = 2\pi r=2\pi (6)=12\pi

one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference

perimeter of other two side = 2(12)= 24

Total perimeter = 28+24+12\pi =52+12\pi

4 0
3 years ago
A line goes through the point (6,-2) and has a slope of
svetoff [14.1K]

Answer:

Step-by-step explanation:

eq. of line is y-(-2)=-3(x-6)

y+2=-3x+18

y=-3x+18-2

y=-3x+16

∵(a,7) lies on it.

7=-a+16

a=16-7=9

a=9

4 0
3 years ago
What is the next number is the pattern ?
Lena [83]

18

81 but not sure

25

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6

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6 0
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A sphere has a diameter of 24 units. What is its volume in cubic units?
34kurt
V = (4/3)π.R³

Diameter - 24 units so Radius = 24/2 = 12 Inits

V= (4π/3).12³ =(4π/3). 1728
V=1728  x 4/3 x π = 2,304.π units³
8 0
3 years ago
A geer on a machine turns at a rate of 3 revolutions per second. Identify the key feauters of the graph of this function
Harman [31]

https://rosemont.scusd.edu/sites/main/files/file-attachments/010516_answers_to_last_nights_hw.pdf

8 0
3 years ago
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