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: 2.5 hours or 2 hr and 30 min
Step-by-step explanation:
We can set up an equation to find how many hours you can park.
2.5+4x=12.5
The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.
Since we have our equation, we can solve for x.
4x=10
x=2.5
You can park for 2.5 hours, or 2 hours and 30 min.
I think the volume is 200
It would be 27/8 = 3 3/8 next 18/5 = 3 3/5 after that 19/6 = 3 1/6 lastly 35/4 = 8 3/4
Hope this helped!
Answer:
257
Step-by-step explanation:
5(41-(-2))+{-7(-4-2)}
5(41+2)+{-7(-6)}
5(43)+(42)
215+42
257