Answer:
Step-by-step explanation:
Given is a function f in two variables as
To find critical points of the given function and also to find max, min or saddle point.
Find the partial derivatives
Equate first derivatives to 0
Adding fx and fy we get
x=±y
Only real roots are (x,y) =(3,3) and (-3,-3)
(3,3) is a saddle point
(-3,-3) is also a saddle point.
<h3>The two possible values for x are x = 60 and x = -9</h3>
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Explanation:
Let's assume that x is the largest value of the list. If so then x = 60 because
range = max - min
range = x - 1
range = 60-1
range = 59
Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.
So x = 60 is one possible value. We can't have x any larger or the range would be larger.
But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value
Here's why
range = max - min
range = 50 - x
range = 50 - (-9)
range = 50+9
range = 59
Answer:
Step-by-step explanation:
In the given triangle
With reference angle A
perpendicular (P) = 3
hypotenuse (h) = 5
So sin A = p/h = 3/5
and
With reference angle C
perpendicular (p)= 4
hypotenuse (h) = 5
Sin C = p/h = 4/5
hope it helps :)
Answer:
5/18
Step-by-step explanation:
Area formula = length times width. 5/12x2/3 = 5/18.
