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Verified answer

1
-1≤sinx≤1
3-1≤3+sinx≤3+1
2≤3+sinx≤4
1/4≤1/(3+sinx)≤1/2
E(y)∈[1/4;1/2]
2
y=1/2*sin2x+3
E(x)∈1/2*[-1;1]+3=[-1/2;1/2]+3=[2 1/2;3 1/2]