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>
.
Answer:

Step-by-step explanation:
The common ratio is 
24, 12, 6, 3,
,
,
, 
so divide each term by 2
<em>plz mark m brainliest. :)</em>
Answer:
The fourth one I believe
Step-by-step explanation:
Answer:
Katie
Step-by-step explanation:
Use seconds as the standard unit to compare the speeds of the 4 runners
Tony is already in standard form and runs 12 ft/s
Katie:
450/30
15 ft/s
Frank:
1 mile = 5280 feet
5280/577
9.15 ft/s
Adam:
I minute = 60 seconds
880/60
14.67 ft/s
Answer:
D
Step-by-step explanation: