Answer: Hello mate!
Clairaut’s Theorem says that if you have a function f(x,y) that have defined and continuous second partial derivates in (ai, bj) ∈ A
for all the elements in A, the, for all the elements on A you get:
This says that is the same taking first a partial derivate with respect to x and then a partial derivate with respect to y, that taking first the partial derivate with respect to y and after that the one with respect to x.
Now our function is u(x,y) = tan (2x + 3y), and want to verify the theorem for this, so lets see the partial derivates of u. For the derivates you could use tables, for example, using that:
and now lets derivate this with respect to y.
using that 
Now if we first derivate by y, we get:
and now we derivate by x:
the mixed partial derivates are equal :)
According to the calculator it is 15.9 in nearest tenth place,
hope this helps.
We can divide our birdhouse in 4 rectangles and 2 squares. Each rectangle has measure
and eac square has measure
Then, the total area of our birdhouse is
which gives
the birdhouse has an area:
Now, sinde Erica buy a plywood with dimensions 29x45 in^2, she has
By comparing both numbers, we can see that she have enough wood to make the birdhouse because 1305 in^2 is greater than 406 in^2.
Primero tienes que sumar y en ambos lados porque y es negativo y para salir de la y negativa tienes que sumarla ahora tenemos 19y<18, ahora divide ambos lados por 19 para dejar la y sola esto va a resultar en y<18/19
First you have to add y to both sides this will give you 19y<18 now divide by 18 to get y<19/18
Answer:
<h2>
</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
- area of triangle:½×bh
- area of rectangle:l×w
<h3>let's solve:</h3>
the area of first triangle:
the area of second triangle:
the area of the rectangle:
the area of the full shape:
