If

represent a family of surfaces for different values of the constant

. The gradient of the function

defined as

is a vector normal to the surface

.
Given <span>the paraboloid

.
We can rewrite it as a scalar value function f as follows:

The normal to the </span><span>paraboloid at any point is given by:

Also, the normal to the given plane

is given by:

Equating the two normal vectors, we have:
</span>

Since, -1 = 2 is not possible, therefore
there exist no such point <span>
on the paraboloid
such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>
.
Pairs which is Adjacent side for quadrilateral MOLE is given below.
Step-by-step explanation:
Given:
Quadrilateral MOLE
Pair of adjacent sides of the quadrilateral.
Adjacent sides have one vertex common.
Option A: MO and LE
These sides does not have common vertex.
MO and LE are opposite sides in the quadrilateral MOLE.
It is not true.
Option B: EO and ME
In the quadrilateral, ME is not a side.
So it is not true.
Option C: LE and OL
In the quadrilateral, OL is not a side.
So it is not true.
Option D: ML and LE
These sides have common vertex L.
Therefore ML and LE are pair of adjacent sides.
It it true.
Hence ML and LE is a pair of adjacent side for quadrilateral MOLE.
Answer:
1.11333333
Step-by-step explanation:
I calculated using Symbolab
sorry if its wrong
Answer:
y = -3x - 2.
Step-by-step explanation:
y - 4 = -3(x + 2)
y - 4 = -3x - 6
y = -3x - 6 + 4
y = -3x - 2.
Answer:
32^(4/5)=16
Step-by-step explanation:
Log base a (b)=c
a^c=b