question: fourth in line of the not-understood mysteries is the civilization that has developed in man's world.
Capitalize this past sentence correctly.
A: Fourth in line of the not-understood mysteries is the civilization that has developed in man's world.

question: this means that the horizontal component of f is the same as the horizontal component of -(l/r); i.e., fj = -(l/r)cos(), where is the latitude.
Capitalize this past sentence correctly.
A: This means that the horizontal component of F is the same as the horizontal component of -(L/r); i.e., Fj = -(L/r)cos(), where is the latitude.

question: check rates and availability for hue riverside boutique resort and spa. then proceed to booking.
Capitalize this past sentence correctly.
A: Check rates and availability for Hue Riverside Boutique Resort and Spa. Then proceed to booking.