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:
help is for the weak as said my I, the one true burnt chicken nugget
Step-by-step explanation:
Answer:
D) 5x = 25
Step-by-step explanation:
-1+26 = 25
2x + 3x = 5x
-3y + 3y = 0
Let
x------> hours worked by Sara last week
y------> hours worked by Joan last week
z------> hours worked by Erin last week
we know that
x=28 hours ------> equation 1
y=x-6-----> equation 2
substitute the value of x in equation 2
y=28-6=22 hours
z=y/2------> equation 3
substitute the value of y in the equation 3
z=22/2=11 hours
<u>the answer is</u>
Sara worked 28 hours last week
Joan worked 22 hours last week
Erin worked 11 hours last week