Answer:
Maximum rate of change at the point (-1,2) = √17
Direction is the direction of the gradient
Step-by-step explanation:
The gradient of a function (scalar or vectorial ) is a vector in the direction of maximum rate of change then
f( x,y ) = x*2y + 2y
grad = δ/δx i + δ/δy j + δ/δz k
grad f(x,y) = [ δ/δx i , δ/δy] = [ 2y , x+2 ]
at the point ( -1 , 2 )
grad f(x,y) = [4 , 1]
| grad f(x,y) | = √ (4)² + (1)² = √17
Answer:
Option C is correct
Step-by-step explanation:
Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.
To find: current altitude of the plane
Solution:
Consider the attached image.
In ΔABC,
(Alternate interior angles)
For any angle 
,
= side opposite to angle/side adjacent to angle
Put 
So, the current altitude of the plane is 4 miles.
Answer:
3.09
Step-by-step explanation:
divide 2.2 by 6.8 then z would equal 3.09
Here are the true statements:
The 6 in the third term is a coefficient. It is paired with a variable so it is a coefficient.
The y in the third term is a factor because it is being multiplied by (6x + 7).
The 9 is a constant because it is just a number in the second term.
