Would someone please double check my work for problem 1. Please and thank you! 1. Evaluate 4x³ds, where Cis the line segment trom F2,-1,Q T,4).x' (t) = 3y'(t) = 3+e(6), y(e))= (-143€)(-14らも): 2- it-3t+1ピX(+)= -2+3tx(E) = (1-t)(-2) + t(1)UE) = -2+2t +t = -2+3€)yle) = (1-t)(-1) +t(2)y(E) = -1+t + 2t = [-1+ 3tylt) = -1+3t= 94? -9t + 2%3D+ 2t=2.121320343562. Find the value of f, xy dx + Jy² + 1dy, where C is the path shown on the graph (6x-Pu) dAelo (Hpt: Upe Cjeen s the orer.}で5.Green's Theolboundary curve C that is a piecewicounterclockwise. Let F = Econtinuous partial derivatives on DfF.dr = 6· dr :Green's Theorem, Flux Form: Lecurve C that is a piecewise smootcounterclockwise. Let F = continuous partial derivatives on athe region betwveenIf F = is a vector field anddefined by:If F = is a vector field andBri) drdeIf the net rotation is counterclockthen it will be negative.972-(-A68.75) do3162.0130016)

Introduction: A line integral is an integral that determines the function to be integrated along a…

1. Evaluate 4x³ds, where C ie the line segment trom -2,-1,QL,4). らt Xz xlt)= (1-t)(-2) + t(1) E) : -2+2t +t = -2+3せ) yle)= (1-と)(-1)+t(2) |tt + 2t = 「-1t 3と x(と)- 3 oとtと1 yは)= 3 %3D

1. Evaluate 4x³ds, where C ie the line segment trom -2,-1,QL,4). らt Xz xlt)= (1-t)(-2) + t(1) E) : -2+2t +t = -2+3せ) yle)= (1-と)(-1)+t(2) |tt + 2t = 「-1t 3と x(と)- 3 oとtと1 yは)= 3 %3D

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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Question

Would someone please double check my work for problem 1. Please and thank you!

1. Evaluate 4x³ds, where Cis the line segment trom F2,-1,Q T,4).
x' (t) = 3
y'(t) = 3
+e(6), y(e))= (-143€)(-14らも): 2- it-3t+1ピ
X(+)= -2+3t
x(E) = (1-t)(-2) + t(1)
UE) = -2+2t +t = -2+3€)
yle) = (1-t)(-1) +t(2)
y(E) = -1+t + 2t = [-1+ 3t
ylt) = -1+3t
= 94? -9t + 2
%3D
+ 2t
=2.12132034356
2. Find the value of f, xy dx + Jy² + 1dy, where C is the path shown on the graph (6x-Pu) dA
elo (Hpt: Upe Cjeen s the orer.}
で
5.
Green's Theol
boundary curve C that is a piecewi
counterclockwise. Let F = <P, Q> E
continuous partial derivatives on D
fF.dr = 6
· dr :
Green's Theorem, Flux Form: Le
curve C that is a piecewise smoot
counterclockwise. Let F = <P, Q>
continuous partial derivatives on a
the region betwveen
If F = <P, Q> is a vector field and
defined by:
If F = <P, Q> is a vector field and
Bri) drde
If the net rotation is counterclock
then it will be negative.
972-(-A68.75) do
3162.0130016)

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