Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.5, Problem 39PS
To determine
To calculate: The value of the integral
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7. Sketch the vector field F = (x − y)î + yĵ. Identify where F₁ vanishes. Identify where
F2 vanishes. Plot a few flow lines.
8. Repeat the previous problem for F = yî + (x − y)î.
Incorrect.
Use a computer or calculator with Euler's method to approximate the flow line through (1, 2) for the
vector field v = y² i + 1.1x² j using 5 steps with At = 0.1.
Find the exact values of x1,.…. ,X5 and yı,
, y5 and then fill in the blanks rounding your numbers to
•....
three decimal places.
X1 =
i
1.1
,Yi =
i
2.51
X2
i
1.2
,y2
3.273
X3 =
i
1.3
,Y3 =
i
4.50283
X4 =
i
1.4
, Y4
i
6.7162
X5 =
i
1.5
, Y5 =
i
11.4427
eTextbook and Media
Hint
I|
||
Incorrect.
Use a computer or calculator with Euler's method to approximate the flow line through (1, 2) for the
vector field v = y² i +1.1x² j using 5 steps with At = 0.1.
Find the exact values of x1, ... , x5 and y1, ... , y5 and then fill in the blanks rounding your numbers to
three decimal places.
X1 =
!Yı =
i
X2
i
1.2
, y2
3.273
X3 =
i
1.3
Y3 =
i
4.50283
X4
i
1.4
6.7162
X5 =
i
1.5
Y5 =
i
11.4427
eTextbook and Media
Assistance Used
Hint
Assistance Used
The vector field is given by v = y i + 1.1x² j , that is, the flow line (x (t), y (t)) satisfies
x' (t)
= y²
y' (t) = 1.1x².
Chapter 13 Solutions
Calculus
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Prob. 60CRP
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