Answer:
2122121221222222weeee
Step-by-step explanation:
wwwww222aweeee
Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).
Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.
Answer:
1/2
Step-by-step explanation:
if you find the LCD of the numbers, you will find that it is 8. Then, you divide both of them by 8 and you get 1/2
Hope this helped a bit :)
value of x is: 
Step-by-step explanation:
We need to solve the equation f(x)=g(x)
where 
and 
Solving to find f(x)=g(x)
Putting values of f(x) and g(x)

So, value of x is: 
The graph will be a straight line x= -2.58 or x = -31/12
Keywords: Composition of Functions
Learn more about Composition of Functions at:
#learnwithBrainly