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
we are given

To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant

now, we can compare with


and then we can find a , b and c

now, we can find D


It has two x-intercepts
so,

now, we can solve for m


............Answer
Answer:
Step-by-step explanation:
45 = (b(4b - 2))/2
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
Answer:
The value of f(-2) is 1/2 or it can be written as 0.5.
Step-by-step explanation:
The given function is

We have to find the value of f(-2).
Substitute x=-2 in the given function to find the value of f(-2).




Therefore the value of f(-2) is 1/2 or it can be written as 0.5.
You'd use the equation y2-y1/x2-x1
0-(-3)/-7-5 = 3/-12 = -1/4
So -1/4 would be the slope
m= -1/4