For the following exercises, F = x i + y j , G = − y i + x j , H = − x i + y j vector fields with their graphs in (I)- (IV). a. F+G b. F+H C. G+H d. -F+G
For the following exercises, F = x i + y j , G = − y i + x j , H = − x i + y j vector fields with their graphs in (I)- (IV). a. F+G b. F+H C. G+H d. -F+G
F
=
x
i
+
y
j
,
G
=
−
y
i
+
x
j
,
H
=
−
x
i
+
y
j
vector fields with their graphs in (I)- (IV).
a. F+G
b. F+H
C. G+H
d. -F+G
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Explain the key points and reasons for 12.8.2 (1) and 12.8.2 (2)
Q1:
A slider in a machine moves along a fixed straight rod. Its
distance x cm along the rod is given below for various values of the time. Find the
velocity and acceleration of the slider when t = 0.3 seconds.
t(seconds)
x(cm)
0 0.1 0.2 0.3 0.4 0.5 0.6
30.13 31.62 32.87 33.64 33.95 33.81 33.24
Q2:
Using the Runge-Kutta method of fourth order, solve for y atr = 1.2,
From
dy_2xy +et
=
dx x²+xc*
Take h=0.2.
given x = 1, y = 0
Q3:Approximate the solution of the following equation
using finite difference method.
ly -(1-y=
y = x), y(1) = 2 and y(3) = −1
On the interval (1≤x≤3).(taking h=0.5).
Elementary Statistics: Picturing the World (7th Edition)
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