Answer:
The required answer is .
Step-by-step explanation:
The given differential equation is
Substitute u=x-y+1 in the above equation.
Using variable separable method, we get
Integrate both the sides.
Substitute u=x-y+1 in the above equation.
Therefore the required answer is .
Area of a Circle: The area of a circle is the amount of space the circle takes up. To compute the area of a circle, we use the formula a=πr^2 where r is the radius of the circle.
Radius: The radius of a circle is the distance from the center of the circle to any point on the circle.
It is closer to 1. This is because 4/18 and 3/7 is 1 8/35.
Answer:
Step-by-step explanation:
We want to find the minimum-degree polynomial with real coefficients and zeros at:
As well as a <em>y-</em>intercept of 64.
By the Complex Root Theorem, if <em>a</em> + <em>b</em>i is a root, then <em>a</em> - <em>b</em>i is also a root.
So, a third root will be 4 - 4i.
The factored form of a polynomial is given by:
Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros. More factors can be added if necessary.
Substitute:
Since we want the minimum degree, we won't need to add any exponents.
Expand the second and third factors:
Hence:
Lastly, we need to determine <em>a</em>. Since the <em>y-</em>intercept is <em>y</em> = 64, this means that when <em>x</em> = 0, <em>y</em> = 64. Thus:
Solve for <em>a: </em>
Our factored polynomial is:
Finally, expand:
Answer:
4/10
Step-by-step explanation: