Answer:
slope:
equation:
Step-by-step explanation:
- point-slope form of Equation of the Line
Paige spent 1/5 of an hour playing on her phone. That used up 1/5 of her battery. How long would she have to play on her phone t
1 answer:
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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>.
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
Equating the two normal vectors, we have:
</span>
Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid