Answer:
-60
Step-by-step explanation:
The objective is to state whether or not the following limit exists
.
First, we simplify the expression in the numerator of the fraction.
Now, we obtain
and the fraction is transformed into
Therefore, the following limit is
You can plug in in the equation, hence
Answer:
A point on the ellipsoid is (-4,2,2) or (4,-2,-2)
Step-by-step explanation:
Given equation of ellipsoid f(x,y,z) :
Parametric equations:
x=-4t-1
y=2t+1
z=8t+3
Finding the gradient of function
So, The directions vectors=(-4,2,8)
Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line
So,
Substitute the value of x , y and z in the ellipsoid equation
With
x=-2(2)=-4
y=2
z=2
With
x=-2(-2)=4
y=-2
z=-2
Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)