R-controlled vowels

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Across
  1. 1. a plan, design, or program of action to be followed; project.
  2. 3. formal permission from a governmental or other constituted authority to do something, as to carry on some business or profession
  3. 8. a promise or assurance, especially one in writing, that something is of specified quality, content, benefit, etc., or that it will perform satisfactorily for a given length of time
  4. 10. lying toward or situated in the north
  5. 11. a person employed by another, especially to perform domestic duties
  6. 12. at or to a greater distance
  7. 14. to fulfill; perform; carry out
  8. 16. a person who shares or is associated with another in some action or endeavor; sharer; associate
  9. 17. any brisk conflict or encounter
  10. 18. to cause to combine or coalesce; unite
  11. 19. to interrupt the quiet, rest, peace, or order of; unsettle
  12. 20. the correspondence in size, form, and arrangement of parts on opposite sides of a plane, line, or point; regularity of form or arrangement in terms of like, reciprocal, or corresponding parts
Down
  1. 2. to establish the truth, accuracy, validity, or genuineness of; corroborate; verify
  2. 4. Mathematics. a symbol or number placed above and after another symbol or number to denote the power to which the latter is to be raised
  3. 5. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space
  4. 6. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties of space
  5. 7. a strong likelihood or chance of something
  6. 9. to become aware of, know, or identify by means of the senses
  7. 13. the gathering of crops
  8. 15. feeling or having thirst; craving liquid