Sara uses a scale of 1 cm : 12 m to draw a floor plan of a
1 answer:
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Answer:
.
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of a polynomial are
where, p is a factor of constant and q is a factor of leading term.
The given polynomial is
Here, 9 is the leading term and 7 is constant.
Factors of 9 are ±1, ±3, ±9.
Factors of 7 are ±1, ±7.
Using rational root theorem, the rational or potential roots are
Therefore, the potential root of f(x) are .
Answer:
-14 / 3
Step-by-step explanation:
- Divergence theorem, expresses an explicit way to determine the flux of a force field ( F ) through a surface ( S ) with the help of "del" operator ( D ) which is the sum of spatial partial derivatives of the force field ( F ).
- The given force field as such:
Where,
i, j, k are unit vectors along the x, y and z coordinate axes, respectively.
- The surface ( S ) is described as a tetrahedron bounded by the planes:
- The divergence theorem gives us the following formulation:
- We will first apply the del operator on the force field as follows:
- Now, we will define the boundaries of the solid surface ( Tetrahedron ).
- The surface ( S ) is bounded in the z - direction by plane z = 0 and the plane [ z = 2 - x - 2y ]. The limits of integration for " dz " are as follows:
dz: [ z = 0 - > 2 - x - 2y ]
- Now we will project the surface ( S ) onto the ( x-y ) plane. The projection is a triangle bounded by the axes x = y = 0 and the line: x = 2 - 2y. We will set up our limits in the x- direction bounded by x = 0 and x = 2 - 2y. The limits of integration for " dx " are as follows:
dx: [ x = 0 - > 2 - 2y ]
- The limits of "dy" are constants defined by the axis y = 0 and y = -2 / -2 = 1. Hence,
dy: [ y = 0 - > 1 ]
- Next we will evaluate the triple integral as follows: