Find the linearization L(x,y,z) at P_0. Then find the upper bound for the magnitude of the error E in the approximation f(x,y,z)
1 answer:
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Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= -
= -
= - 1
Then the gradients of lines perpendicular to this line is - 1
Given:
The given equation is:
Where x is the number of tickets sold for the school play a y is the amount of money collected for the tickets.
To find:
The correct table of values from the given options.
Solution:
We know that the number of tickets and amount of money collected for the tickets cannot be negative. So, options A and B are incorrect.
We have,
For ,
For ,
For ,
For ,
In option C, all the ordered pairs (0,0), (10,50), (51,255), (400,2000) are in the table. So, option C is correct.
For
Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.
Hence, the correct option is C.