We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
Answer:
79 degrees
Step-by-step explanation:
Quadrilaterals have a total of 360 degrees. They already gave you three of them so you just have to add all the given degrees and subtract it by 360. 101+124+56=281 ; 360-281=79
Answer:
what grade really quick
Step-by-step explanation:
First let's review two concepts:
Monomy: Algebraic expression that consists of a single term or in which the terms that form it are related by the product operation.
Odd function: A function is odd if, for each x in the domain of f, f (- x) = - f (x).
The function y = 2x ^ 3 complies with both definitions.
Answer:
an odd monomial function is:
A.y = 2x ^ 3
If x>4, then the quantity x-3 inside the absolute value symbol is already positive. So, in this case, |x-3| => x-3, and x-3 is all you need to write.
