(c) 11. Let C be the curve with parametric equations x=e³-4t+2₁ y=31³-61² +31-7. Use this information in parts (a)-(c). (a) Find dy variable t. for the curve C. Your answer for dz should be in terms of the (b) Find an equation of the tangent line to C when t = 0. Your equation should be an equation in z and y only. Find all values for t for which the tangent line to C is vertical.
(c) 11. Let C be the curve with parametric equations x=e³-4t+2₁ y=31³-61² +31-7. Use this information in parts (a)-(c). (a) Find dy variable t. for the curve C. Your answer for dz should be in terms of the (b) Find an equation of the tangent line to C when t = 0. Your equation should be an equation in z and y only. Find all values for t for which the tangent line to C is vertical.
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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Q11
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Transcribed Image Text:(c)
11. Let C be the curve with parametric equations
x=e³-4t+2₁ y=31³-6t²+3t-7.
Use this information in parts (a)-(c).
(a)
Find dy
dr
variable t.
for the curve C. Your answer for
dz
should be in terms of the
(b)
Find an equation of the tangent line to C when t = 0. Your equation should
be an equation in z and y only.
Find all values for t for which the tangent line to C is vertical.
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