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 3ft to the left of the equilibrium position and then, given a velocity of 4ft/sec to the right.
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 3ft to the left of the equilibrium position and then, given a velocity of 4ft/sec to the right.
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 3ft to the left of the equilibrium position and then, given a velocity of 4ft/sec to the right.
(b)
To determine
To calculate: The function, xt=4sint−3cost , which is obtained in the part (a) in the form of xt=ksint+α .
(c)
To determine
To calculate: The maximum displacement of the object from its equilibrium position.
Find a unit normal vector to the surface f(x, y, z) = 0 at the point P(-3,4, -32) for the function
f(x, y, z) = In
-4x
-5y-
Please write your answer as a vector (a, b, c) with a negative z component, and show your answer accurate
to 4 decimal places
Find the differential of the function f(x, y) = 2x² - 2xy – 5y² at the point (-6, -5) using Ax = 0.3
and Ay = 0.05.
dz =
Now find Az and compare it to your answer above
Ax=
Hint: If entering a decimal, round to at least 5 places
Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and
Ay = -0.15.
dz
Now find Az and compare it to your answer above
Az =
Hint: If entering a decimal, round to at least 5 places
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