Yes hi. The video is well explained but I actually have a question about the second last QUESTION that you solved. When you multiplied (Ax + B)/(x^2 -x +3) with (x^2 - x +3)(x -1) You cancelled out the (x^2 -X +3) CORRECTLY but you then only multiplied the (x-1) with B only, aren't we supposed to multiply (x - 1) with the whole ( Ax + B) .???????
@@Big_sacky 1:28:40 Yes you are correct. That is a "copying" error on my behalf and it should be (Ax+B)(x-1). We should always be careful with our parentheses. Thank you for spotting it out.
You are right that there are 7 colors of the rainbow and 7 days in the week. However, for a set to be equal, all the elements in both sets must be equal and not the cardinality, n(s), of the set. Therefore even though n(X) = n(Y), X is not equal to Y.
1:50:35 The 18.93 cm value for h1 should be rejected and is not a correct answer. This is because if you substituted the value of h1 inside the width equation of (20-2h) the value will result in a negative width which is not possible. 20 - 2(18.93) = -17.86, Hence it is rejected! The correct answer is only h2 = 4.401
35:00 In this question I made the mistake of putting the friction force in the opposite direction initially and fixed it later on(50:17). This will only change the sign of the friction force in the final equation of the summation of forces along the x direction. The reason the friction force is upwards on the surface is because friction is always opposite to the direction of motion, which in this case is downwards as the load is slipping. The force F is only there to support the friction force to prevent the load from slipping. Hence, they are in the same direction.
I wanted to clarify that at 2:40:00, both the equations represent the exponential decay of the equation. The exponential decay is denoted by the negative sign of the exponent, whereas the an exponential growth will be denoted with a positive exponent. Furthermore, the exponential decay equation Ae^-kx (on the left) represents the decreasing form whereas the other equation A(1-e^-kx) (on the right) represents the increasing form but both are considered exponential decay. You can refer to the below link for more clarification: people.richland.edu/james/lecture/m116/logs/models.html
