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:
D. 60, 45,75
Step-by-step explanation:
For options C and D
For a triangle the sum of the angles must always be equal to 180 degrees
So 180 ≠45+45+80
and
60 +45+ 75= 180
For option A and B
The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.
According to Pythagorus theorem
hypotenuse²= base² + perpendicular²
c²= a²+ b²
90²= 50² + 35²
8100= 2500+1225
8100≠3725
95²= 60²+ 25²
9025= 3600+ 625
9025≠4225
Therefore only D is the correct option
Answer:
-2
Step-by-step explanation:
m=y2-y1/x2-x1
y2=2 y1=8
x2=2 x1=4
=2-8/4-2
=-4/2
=-2
