In this problem, we will train a multi-class perceptron on data of the form (f(x) \in \mathbb{r}^2, y \in \{a, b, c\})(f(x)∈r 2 ,y∈{a, b,c}). in particular, we will use training data to update three weight vectors, w_y \in \mathbb{r}^2, y = a, b, cw y ∈r 2 ,y=a, b,c. we begin with the following set of randomly-initialized weight vectors: yy w_{y,1}w y,1 w_{y,2}w y,2 a -0.82 -0.02 b -1.63 -0.88 c 0.39 0.65

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is