Answer with Step-by-step explanation:
The given differential equation is
Now the above differential equation can be re-written as
Checking for exactness we should have
As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by
The value of 
can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)
Hi!
I have attached 2 images that should help you understand :)
First, look at the edits I made to the image you posted. I separated the shape into smaller shapes so that we can find the area of each individual one.
Let's start with the rectangle.
To find the area of a rectangle, multiply the width times the height.
10
· 4 = 40
Rectangle = 40cm
Next up, the red triangles.
I have included another image showing the triangles combined into rectangles. So we can find the area of the triangles just like we would rectangles!
(let me know if you don't understand how I found the width + height of the triangles)
5 · 10 = 50
Red triangles = 50cm
And finally, the green triangles.
8 · 7 = 56
Green triangles = 56cm
Add it all together and you get...
40 + 50 + 56 = 146
The answer to the question is
146cm.
Next time you are having trouble with something like this, picture the triangles as rectangles! :)
Answer:
11 x 2^3 =11 x 2 x 2 x 2 = 88
Step-by-step explanation:
88
<u>11</u> 8
<u>2</u> 4
<u>2</u> <u>2</u>
<u />
Use a factor tree it helps a lot :0).
The answer for the exercise is the third option, which is: Hexagon.
The explanation is shown below:
As you can see in the figure attached, the cross section is a polygon of six sides and six angles. Therefore, it has six vertexes. In geometry, this type of polygon is known as "Hexagon".
Answer:
31 as it has only 2 factors which is 1 and 31
