Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: 8 f (x) = 2"-5 + 3, g(x) = 2x – 5, h(x) = + 10

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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IYMC.PF.2020
International Youth Math Challenge
Pre-Final
Problem A.1
Find all points (x, y) where the functions f(x), g(x), h(x) have the same value:
8
f (x) = 2"-5 + 3,
g(x) = 2x – 5,
h(x)
+ 10
Problem A.2
Determine the roots of the function f(x) = (52 – 6)² – (52 – 6)
Transcribed Image Text:single file. Do not upload your pictures in a different format (e.g, no Word and Zij • You can upload your PDF file with all solutions earlier than the day of the deadli change your upload at any time as long as the deadline has not been reached. • The deadline for uploading your solution is Sunday 15. November 2020, 23:59 • The results of the pre-final round will be announced on Monday 23. November 20: 2 IYMC.PF.2020 International Youth Math Challenge Pre-Final Problem A.1 Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: 8 f (x) = 2"-5 + 3, g(x) = 2x – 5, h(x) + 10 Problem A.2 Determine the roots of the function f(x) = (52 – 6)² – (52 – 6)
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