(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= (

5.91862665

,

5.94187618

)

(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=

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.