In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.
Now that we know the vertices of the surface
, we can parameterize it by
where
and
. The surface element is
With respect to our parameterization, we have
, so the surface integral is
The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9
<h3>How to find the integer values in algebra?</h3>
We are given the expression;
4000 × (0.4)ⁿ
This can also be expressed as;
4000 × (²/₅)ⁿ which can further be expressed in exponent form as;
(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾
Since this expression is an integer, we need:
1) 5 + n ≥ 0 for which n ≥ -5
2) 3 - n ≥ 0 for which n ≤ 3
Taking the intersection gives;
-5 ≤ n ≤ 3
Thus;
Number of Integer Values = 3 - (-5) + 1 = 9
Read more about Integer Values at; brainly.com/question/17695139
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Answer:
its 123 and 4,
Step-by-step explanation:
did i get it right, bc one of those is
Answer:
Possibly wrong but 13.66?
Answer:
This was translated 180 degrees clockwise around the origin.
Step-by-step explanation:
In order to find this, simply look for where the point is from it's original point. You'll notice that each point changes into the quadrant diagonal from it's original quadrant. Since this happens with each one, we know it must rotate roughly 180. Also, since each line is parallel to it's original spot, it is exactly 180 degrees around the origin.
