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kereshmeh
18.08.2019 •
Mathematics
What does x equal if 2.3-5x=3x-5.7 and can you explain how to do this ?
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Ответ:
on both sides add 5.7
you get 8.0-5x=3x
you add 5x to both sides and get
8.0=8x
divide both sides by 8 you get
1=x
Ответ:
(1,-1,2) lies on the surface.
Therefore a vector to the normal to the surface is
Therefore the equation of tangent plane is
2x+3y+2z=3
Step-by-step explanation:
Given equation of surface is
2x²-3y²+z²=3
Given point is (1,-1,2)
To check that whether the point lies on the surface or not .
We have to put x=1 , y= -1 and z= 2 in the given surface.
L.H.S
2(1)²-3(-1)²+2²
=2-3+4
=3 = R.H.S
Since the point (1,-1,2) point satisfies the equation.
Therefore (1,-1,2) lies on the surface.
Here f(x,y,z)= 2x²-3y²+z²
To find the a vector normal to the surface we have to find
The gradient at (1,-1,2)
Therefore a vector to the normal to the surface is
The equation of tangent plane is
Here
and ![\vec a= \hat i-\hat j+2\hat k](/tpl/images/0524/4072/d58f6.png)
Therefore the equation of tangent plane is
⇒2.x+3.y+2.z=(1.2)+(-1)(3)+2.2
⇒2x+3y+2z=2-3+4
⇒2x+3y+2z=3