Question A 500 g block is attached to a horizontal spring with a spring constant of 50 N/m. At t = 0.1 s, its position is x = 0.2 m and its velocity is vx = 0.5 m/s. From the equation of the position x(t) obtained in a), obtain the algebraic equations of the velocity and acceleration of the block. Determine the maximum velocity and maximum acceleration of the block. " thats question a) = determine the amplitude, the pulsation and the phase constant of the system. Write the complete function x(t) of this system.

The current in an \( R L \) circuit drops from \( 1.4 \mathrm{~A} \) to \( 14 \mathrm{~mA} \) in the first second following removal of the battery from the circuit. If \( L \) is \( 9.9 \mathrm{H} \), find the resistance \( R \) in the circuit. Units The current in an RL circuit drops from 1.4 A to 14 mA in the first second following removal of the battery from the circuit. If L is 9.9H, find the resistance R in the circuit. Units

find the surface Let f(x)=√x over the interval [1, 4]. Find the surface area of the surface generated by revolving the graph of f (x) about the x-axis. Round your answer to two decimals. YA 4- 3+ f(x)=√x 3+ f(x) = √x 2+ 2+ 1 1 6 X 이 -1 6 x -2 + -3+ -4 -2 O -1- -2+ -3+ 1 2 3 сл+ 4 5 -2 -1 1 1 1 1 2 3 4 5 삼

Determine the x-and y-coordinates of the centroid of the shaded area. Assume c = 6, a = 1.10, b = 1.90. = y 1 1 1 x 3 y=1+ © с ob- --X a b Answer: (1,5) = ( Locate the centroid of the shaded area. Set b= 0.40 a. y | *=a(1-1 y2 62 b * a Answer: (Ă, y) = ( Determine the x-and y-coordinates of the centroid of the shaded area. у | a | y = k2v x 1.20 a y = k123 Answers: (1. y) =(

Crich Corporation uses direct labor-hours in its predetermined overhead rate. At the beginning of the year, the estimated direct labor-hours were 21,940 hours and the total estimated manufacturing overhead was $530,948. At the end of the year, actual direct labor-hours for the year were 21,850 hours and the actual manufacturing overhead for the year was $530,948. Overhead at the end of the year was: (Round your Intermediate calculations to 2 decimal places.) Multiple Choice $2,228 underapplied $2,178 underapplied $2,178 overapplied $2,228 overapplied

For the following exercises, find the surface area of the volume generated when the following curves revolve around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. 199. y = x2 from x = 0 to x = 2

For the following exercises, find the lengths of the functions of y over the given interval. If you cannot evaluate the integral exactly, use technology to approximate it. 181. y = 5 - 3x from y = 0 to y = 4 – 4