Answer:
a)
b)
Step-by-step explanation:
By definition, we have that the change rate of salt in the tank is , where is the rate of salt entering and is the rate of salt going outside.
Then we have, , and
So we obtain. , then
, and using the integrating factor , therefore , we get , after integrating both sides , therefore , to find we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions , so
Finally we can write an expression for the amount of salt in the tank at any time t, it is
b) The tank will overflow due Rin>Rout, at a rate of , due we have 500 L to overflow , so we can evualuate the expression of a) , is the salt concentration when the tank overflows
<span> three-dimensional figure has length, width, and height. A face is a flat </span>side<span>. A vertex is .... Describe the faces edges and vertices of </span>each<span> three dimensional ... Vera's closet is </span>in the shape of<span> a </span>rectangular prism<span>. ... You </span>can<span> draw different views of three-dimensional figures. .... How </span>many square<span> millimeters of</span>wrapping paper<span>.</span>he amount of wrapping paper needed<span> to </span>cover<span> the figure represents its surface area. To find the surface area, you calculate the area of </span>each<span> face or </span>side<span> ... where SA = surface area, </span>l<span> = length, </span>w<span> = width, and </span>h<span> = height. ... the surface area of this </span>prism<span> is 158 </span>square inches<span>.
</span>
Answer:
-3q² + 3qp + 2rp - 2rq + Sq - Sp
Step-by-step explanation:
first part
3q(p-q) = 3qp - 3q²
second part
2r(p-q) = 2rp - 2rq
third part
S(q-p) = Sq - Sp
then we put it all together
3qp - 3q² + 2rp - 2rq + Sq - Sp
in the right place possibly
-3q² + 3qp + 2rp - 2rq + Sq - Sp
Area of a triangle = 1/2 ab sinC
In this equation the angle C is between the two adjacent sides ab
Since the lengths are equal we can call them both X
Hence 254= 1/2 (x)(x) sin53
By simplifying 508 = (x^2) sin53
So therefore x is the square root of 508 divided by sin53 which means the length of the sides is 35.8km to 3 significant figures