(x 3 - 4x 2 + 4x - 1) ÷ (x -1)

answer :

Step-by-step explanation:

The explanation is shown in the image

As shown in the image:

1. x divides =

2. multiplies the divisor (x-1) and we obtain

3. substracts from leaving a remainder of

4. we then stepped 4x down to have +4x

5. x divides gives us -3x

6. we then multiply -3x by (x-1) and subtract it from +4x ,and we obtained x as a remainder

6. we again stepped the -1 down to x-1

7.x -1 divides x-1 gives exactly 1

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this