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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Arrange these steps in the correct order to prove that if you have an 8-gallon jug of water and two empty jugs with capacities of 5 gallons and 3 gallons, respectively, then you can measure 4 gallons by successively pouring some of or all of the water in a jug into another jug in the correct order. Rank the options below. Fill the 3-gallon jug from the 5-gallon jug, leaving (3, 2, 3). Empty the 5-gallon jug's contents into the 3-gallon jug, leaving (6, 0, 2), and then fill the 5-gallon jug from the 8-gallon jug, producing (1, 5, 2). Fill the 5-gallon jug from the 8-gallon jug, leaving the contents (3, 5, 0), where the ordered triple is used to record the amount of water in the 8-gallon jug, the 5-gallon jug, and the 3-gallon jug, respectively. Top off the 3-gallon jug from the 5-gallon jug, and there will be (1, 4, 3), with four gallons in the 5-gallon jug. Pour the contents of the 3-gallon jug back into the 8-gallon jug, leaving (6, 2, 0). ❤ ← ←