A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that consists of all points (4, 4, a? + 7), where a is a real number. Calculate the area of the triangle as a function of a, f (a), and indicate where it assumes its minimum value (Positively Oriented ON System). Answer: The area f 0. = and it assumes its minimum (a) when a
A triangle has two of its corners in (4, 0, 7), (0, 4, 7), and the third on the curve in space that consists of all points (4, 4, a? + 7), where a is a real number. Calculate the area of the triangle as a function of a, f (a), and indicate where it assumes its minimum value (Positively Oriented ON System). Answer: The area f 0. = and it assumes its minimum (a) when a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A triangle has two of its corners in (4, 0, 7),
(0, 4, 7), and the third on the curve in space that consists
of all points (4, 4, a? + 7), where a is a real number.
Calculate the area of the triangle as a function of a,
f (a), and indicate where it assumes its minimum value
(Positively Oriented ON System).
Answer: The area f
0. = and it assumes its minimum
%3D
(a) when a
Transcribed Image Text:En triangel har två av sina hörn i (4, 0, 7),
(0, 4, 7), och det tredje på den kurva i rummet som
består av alla punkter (4, 4, a² +7), där a är ett reellt
tal. Beräkna arean av triangeln som en funktion av a,
f(a), och ange var den antar sitt minimala värde
(Positivt orienterat ON-system).
Svar: Arean f(a) =
och det antar sitt minimum
då a =
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