Answer:
828...............
Step-by-step explanation:
It is <em>1/100 . It is simple </em>
Answer:
Step-by-step explanation:
The range of the function is what values of y from lowest to highest that are covered by the function. The domain are the values on the left: A-E; the range are the values on the right: 1-3. We state both domain and range in interval notation, stating only the lowest and highest values in either a set of brackets if the values are included, a set of parenthesis if the values are not included, or a mixture of both. Our range is inclusive, so we mention the lowest and the highest only: [1, 3].
Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
From the secon equation, we can find x in terms of y by doing:
x = 2 + y
Pluggin this value of x in the first equation:
2(2 + y) - 2y = 14
4 = 14
We reached a false statement, which means that the given system of equations has no solutions. Another way to verify that would be by dividing the first equation by 2. Doing so, we would have equation 1: x - y = 7 and equation 2: x - y = 2, which is clearly impossible!
