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ibarral37102
06.11.2020 •
Mathematics
(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal places in your answer.
Q = ( , )
(b) Use P and Q to approximate the directional derivative of f(x,y)=√(x+3y) at P, in the direction of v.
fv ≈
(c) Give the exact value for the directional derivative you estimated in part (b).
fv =
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Ответ:
following are the solution to the given points:
Step-by-step explanation:
In point a:
calculating unit vector:
the point Q is at a distance h from P(6,6) Here, h=0.1
the value of Q= (5.92928 ,6.07071 )
In point b:
Calculating the directional derivative of
at P in the direction of ![\vec{v}](/tpl/images/0874/0215/01fcf.png)
In point C:
Computing the directional derivative using the partial derivatives of f.
Ответ:
Step-by-step explanation:
100 as u are removing the decimal
mate I framed it as easy I can
and I know now u can solve it
enjoy your day
#captainpower
pls make me brainliest