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phase1-AR.tex (use only for Archival Research and Theory proposals; use phase1-GO.tex
for General Observer and Snapshot proposals and phase1-DD.tex for GO/DD
proposals or use phase1-MC.tex for GO/MC rapid response proposals.
HUBBLE SPACE TELESCOPE
PHASE I ARCHIVAL & THEORETICAL RESEARCH PROPOSAL TEMPLATE
FOR CYCLE 25 (2017)
Version 1.0, January 2017
Guidelines and assistance
Cycle 25 Announcement Web Page
Please contact the STScI Help Desk if you need assistance with any
aspect of proposing for and using HST. Either send e-mail to
help@stsci.edu, or call 1-800-544-8125; from outside the United
States, call [1] 410-338-1082.

This problem is an applied optimization problem. The problem is to minimize
the area of the triangle formed by a tangent line to the function y = 1⁄9 x2.
The triangle is defined by the origin, the x-intercept of the tangent line, and the
y-intercept of the tangent line. Only triangles formed in the first quadrant are
of concern.

A template for a proof submitted as homework with student name, today's date, assignment number, assignment statement, and proof.
Includes a function for aligning equals signs and has a box for the QED at the end of the proof.