A10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. at time t=0, the resulting mass-spring system is disturbed from its rest state by the force f(t)=80cos(8t). the force f(t) is expressed in newtons and is positive in the downward direction, and time is measured in seconds.

a. determine the spring constant k.
b. formulate the initial value problem for y(t), where y(t) is the displacement of the object from its equilibrium rest state, measured positive in the downward direction.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4

step-by-step explanation:

tangent z: 4/3

cosine y: 4/5

cotangent y: 4/3

130 degrees. i have no other way to explain

step-by-step explanation:

your answer would be c