Suppose That as You Move Away from the Point (2 $0.6 \vec { i } + 0.8 \vec { j }$

question 47

Short Answer

Suppose that as you move away from the point (2, 0, 2), the function increases most rapidly in the direction $0.6 \vec { i } + 0.8 \vec { j }$ and the rate of increase of f in this direction is 7.At what rate is f increasing as you move away from (2, 0, 2)in the direction of $\vec { i } + \vec { j } + \vec { k }$ ? Give your answer to 4 decimal places.

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Definitions:

Fetal Abnormalities

Deviations from the normal development in the fetus, which can be structural, functional, or genetic, and detected before birth through various screening methods.

Amniocentesis

A medical procedure used in prenatal diagnosis, involving the extraction of a small amount of amniotic fluid for genetic and chromosome testing.

Chorionic Villus Sampling

A prenatal test where samples of the placental tissue are taken for genetic testing to check for abnormalities in the fetus.

Alpha-Fetoprotein Assay

A blood test used to measure the levels of alpha-fetoprotein, which can help assess the risk of developmental defects in a fetus.