Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only
is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation




So, the equation
is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
Please check, the graph is also attached.
Answer:3 units/s
Step-by-step explanation:
Given

Point P lie on this curve so any general point on curve can be written as 
and 
Distance between Point P and (2,0)

P at x=3 P=2
rate at which distance is changing is



Answer:
Step-by-step explanation:
From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (
) and are parallel to 
The parallel vector to the line i + zj+k = ai + bj + ck
Hence, the equation for the line is :

x = 4 + t
y = -5 + 2t
z = 2 + t
Thus, x, y, z = ( 4+t, -5+2t, 2+t )
The symmetric equation can now be as follows:



∴

30(-2/5)²(5/8) = 30*(4/25)*(5/8) = 30*4/(5*8) = 3