Answer:
Step-by-step explanation:
Ok
Answer:
x=29°
Step-by-step explanation:
as lines are parallel.
external alternate angles are equal.
7x-86=4x+1
7x-4x=1+86
3x=87
x=87/3=29
Answer:
See steps below
Step-by-step explanation:
The function
is a particular case of the general Rosenbrock’s Function.
a)
Since
for all the values of x and equals 0 when x=1 and
for all the values of y and equals 0 only when y=1, we conclude that (1,1) is a minimum.
On the other hand,
f(x,y)>0 for (x,y) ≠ (1,1) so (1,1) is a global minimum.
b)
To confirm that this function is not convex, we will be using the following characterization of convexity
“f is convex if, and only if, the Laplace operator of f for every (x,y) in the domain of f”
Given that the domain of f is the whole plane XY, in order to prove that f is not convex, we must find a point (x,y) at where the Laplace operator is < 0.
The Laplace operator is given by
Let us compute the partial derivatives
and
we have then
if we take (x,y) = (0,1)
hence f is not convex.
Answer:
doo doo fart
Step-by-step explanation:
Answer:
B = 70°, b = 29.2; c = 29.2
Step-by-step explanation:
sum of angles in a triangle is 180
40+70 +X = 180
X is the last angle
110+x=180
x= 180-110 =70
A= 40°
B= 70°
C= 70°
the triangle is Isosceles triangle meaning two sides are equal , angle B = angle C
side b= side c
using Sine Rule
a/sin A = b/Sin B
20/sin 40 = b/sin 70
sin 40 = 0.6427
sin 70 = 0.93969
20/0.6427 = b/ 0.93969
cross multiply
20 x 0.93969 = 0.6427b
18.7938=0.6427b
b = 18.7938/0.6427
b = 29.2419≈29.2
side b= side c = 29.2
B= 70°. side b = 29.2, side c = 29.2