royalty-free stock photo (171): one tree in a field

How would the previous sentence be correctly capitalized?
Answer: Royalty-Free Stock Photo (171): One tree in a field
when a buy signal from a formation is given, this then often causes the price to rapidly rise further.

How would the previous sentence be correctly capitalized?
Answer: When a buy signal from a formation is given, this then often causes the price to rapidly rise further.
this means that the horizontal component of f is the same as the horizontal component of -(l/r)Ω; i.e., fj = -(l/r)Ωcos(φ), where φ is the latitude.

How would the previous sentence be correctly capitalized?
Answer: This means that the horizontal component of F is the same as the horizontal component of -(L/r)Ω; i.e., Fj = -(L/r)Ωcos(φ), where φ is the latitude.
it was an illusion to think that we could have a common currency and a single market with national approaches to economic and budgetary policy. let's avoid another illusion that we can have a common currency and a single market with an intergovernmental approach.

How would the previous sentence be correctly capitalized?
Answer: It was an illusion to think that we could have a common currency and a single market with national approaches to economic and budgetary policy. Let's avoid another illusion that we can have a common currency and a single market with an intergovernmental approach.