3. The function g is defined by g(t) = 2t² + cos(2t). (a) Derive an equation determining the location of the stationary points of g(t), and verify that t = 0 is a solution. Are there any other solutions with t# 0? Hint: for the final part, you may assume that sin 0 <0 when 0 > 0, as proved in question 1(a) on tutorial sheet 3. (b) Determine the nature of the stationary point at t = 0. (c) Sketch y = g(t).
3. The function g is defined by g(t) = 2t² + cos(2t). (a) Derive an equation determining the location of the stationary points of g(t), and verify that t = 0 is a solution. Are there any other solutions with t# 0? Hint: for the final part, you may assume that sin 0 <0 when 0 > 0, as proved in question 1(a) on tutorial sheet 3. (b) Determine the nature of the stationary point at t = 0. (c) Sketch y = g(t).
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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could you pleaae do all parts and could the answer be written out please , not typed up. Thank you
Transcribed Image Text:3. The function g is defined by g(t)
2t² + cos(2t).
(a) Derive an equation determining the location of the stationary points of g(t), and verify that t = 0 is a
solution. Are there any other solutions with t# 0?
Hint: for the final part, you may assume that sin 0 <0 when 0 > 0, as proved in question 1(a) on
tutorial sheet 3.
=
(b) Determine the nature of the stationary point at t = 0.
(c) Sketch y = g(t).
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