A model of the form x t = v 0 ω sin ω t + x 0 cos ω t to represent the horizontal motion of the spring by using the following information. Here, the object completes 1 cycle in 1 sec ω = 1 . The horizontal position x t of the object is given by x t = v 0 ω sin ω t + x 0 cos ω t . Initially, the object moves 2ft to the right of the equilibrium position and then, given a velocity of 3ft/sec to the left.
A model of the form x t = v 0 ω sin ω t + x 0 cos ω t to represent the horizontal motion of the spring by using the following information. Here, the object completes 1 cycle in 1 sec ω = 1 . The horizontal position x t of the object is given by x t = v 0 ω sin ω t + x 0 cos ω t . Initially, the object moves 2ft to the right of the equilibrium position and then, given a velocity of 3ft/sec to the left.
Solution Summary: The author explains how to calculate a model of the form x(t)=v_0omega mathrmsin
To calculate: A model of the form xt=v0ωsinωt+x0cosωt to represent the horizontal motion of the spring by using the following information. Here, the object completes 1 cycle in 1 sec ω=1 . The horizontal position xt of the object is given by xt=v0ωsinωt+x0cosωt . Initially, the object moves 2ft to the right of the equilibrium position and then, given a velocity of 3ft/sec to the left.
(b)
To determine
To calculate: The function, xt=−3sint+2cost , which is obtained in part (a), in the form of xt=ksint+α .
(c)
To determine
To calculate: The maximum displacement of the object from its equilibrium position.
Here is a region R in Quadrant I.
y 2.0 T
1.5
1.0
0.5
0.0 +
55
0.0 0.5
1.0
1.5
2.0
X
It is bounded by y = x¹/3, y = 1, and x = 0.
We want to evaluate this double integral.
ONLY ONE order of integration will work.
Good luck!
The
dA =???
43–46. Directions of change Consider the following functions f and
points P. Sketch the xy-plane showing P and the level curve through
P. Indicate (as in Figure 15.52) the directions of maximum increase,
maximum decrease, and no change for f.
■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)
EX-let d'be ametric on a vector space X induced
from a norm hx and d defind by
a
Slab)= {od (a,
if a = b
(a,b)+is ab
Show that cannot be induced froman norm
on X.
2) let à be trivel metric show that I cannot
be induced from an norm on X-
3) let M be closed subspace of anormed spacex
Construct the space X/Mas a normed space.
4) let Mix be vector space of 2x3 matrices on R
write with Prove convex set and hyper Plane of M
5) show that every a finite dimension subspace of
anormed space is closed.
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