Find the limits lim 1-0 lim 1-0 lim 1-0 sin(St) + 3) ;+ e²¹ / + [(sincs t est - 1 / -/+ 21² / +5e' k = t sin(3t); + t 2t | ²² =2²₁-28¹x] = | ノー2e' t cos(31) 1 sin² (5t) - ¹4-0 =

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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Plz answer both correctly
Find the limits
lim
1-0
lim
1-0
lim
1-0
[(
sin(5t)
t
est - 1
t
sin(3t)
t
-¡+ 2t²j+ 5e¹ k =
5e²x = |
(2) Find R" (t)
+3) ₁+ 2²³ / +
-i+
=
cos(3t) - 1
sin ² (St), ¹4] = []
2t
| ¹³ = 2²4,- 20²4] = |
ーー
t
Given the curve R(t) = ti+ 3t²j-t³ k
(1) Find R' (t) =
(3) Find the curvature K =
Transcribed Image Text:Find the limits lim 1-0 lim 1-0 lim 1-0 [( sin(5t) t est - 1 t sin(3t) t -¡+ 2t²j+ 5e¹ k = 5e²x = | (2) Find R" (t) +3) ₁+ 2²³ / + -i+ = cos(3t) - 1 sin ² (St), ¹4] = [] 2t | ¹³ = 2²4,- 20²4] = | ーー t Given the curve R(t) = ti+ 3t²j-t³ k (1) Find R' (t) = (3) Find the curvature K =
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