Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2
Transcribed Image Text:A curve has parametric equations x = t² + t and y = √t (t > 0)
(a) Find the equation of the tangent to the curve when t = 1.
Give your answer in the form y = mx + c.
You must show all of your working.
(b) Find the acute angle between this tangent and the line y = x + 3.
The integral I is defined as
I =
20
2
y dx.
(c) Write I in terms of t and hence evaluate I.
Give your answer in the form - Inc where a, b and c are integers.
b
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