1a. Express  
       2x − 1         
(2x − 3)(x − 1)
in partial fraction form
 

          −

  1b Given a 3 × 3 matrix in terms of a scalar c and that det(A) = 8 , find the value(s) of c if
 
2          1       3
A   =           c        2        4
c − 2       3     c + 7
1c Given that

(a)      Show that

2 log2(x + 15) − log2 x = 6
x2 − 34x + 225 = 0

(b)      Hence or otherwise, solve the equation
2 log2(x + 15) − log2 x = 6​

Part a determine the magnitude of the x component of f using scalar notation. fx f x = nothing lb request answer part b determine the magnitude of the y component of f using scalar notation. fy f y = nothing lb request answer part c determine the magnitude of the z component of f using scalar notation. fz f z = nothing lb request answer provide feedback figure1 of 1a force vector acting on a ring attached to the ground is shown in the xyz space together with its x, y, and z components lying on the corresponding positive axes. the ring is located at the origin. force f is located in the first octant. f makes an angle of 60 degrees with its x component and an angle of 45 degrees with its y component. a force vector acting on a ring attached to the ground is shown in the xyz space together with its x, y, and z components lying on the corresponding positive axes. the ring is located at the origin. force f is located in the first octant. f makes an angle of 60 degrees with its x component and an angle of 45 degrees with its y component.

What is relative velocity? in which condition is relative velocity known by adding the velocity of the first body and that of the second body

The system is released from rest with the cable taut, and the homogeneous cylinder does not slip on the rough incline. determine the angular acceleration of the cylinder and the minimum coeffi cient s of friction for which the cylinder will not slip.