Given the complex number Z1 = cosx + I, Z2 = SiNx + I, find the maximum direct number of Z1 + Z2 and | Z1 + Z2 |?

Given the complex number Z1 = cosx + I, Z2 = SiNx + I, find the maximum direct number of Z1 + Z2 and | Z1 + Z2 |?

A:
z1=cosx+i
z2=sinx+i
So:
z1+z2=(cosx+sinx)+2i
So:
|z1+z2|=√[(cosx+sinx)^2+2^2]
=√(1+2sinxcosx+4)
=√(5+sin2x)
When sin2x = 1, the maximum value | Z1 + Z2 | = √ 6

A and B use 18 tons of coal for a pile and 7.5 tons for B pile, and the rest is equal. It is known that B is 5 / 8 of a, and how many tons does a have

The first principle is x tons
x-18=(5/8)*x-7.5
(3/8)*x=10.5
X = 28 tons

The fruit shop sold 83 kg of apples and 65 kg of pears and got 582.6 yuan in total. The price of each apple was 0.6 yuan more expensive than that of each kg of pears
It's better to write out ideas if you have them. If you don't have them, you can write the answers directly

The fruit shop sold 83 kg of apples and 65 kg of pears for a total of 582.6 yuan. The price per kg of apples was 0.6 yuan more expensive than that per kg of pears, 4.2 yuan per kg of apples and 3.6 yuan per kg of pears