laws

  1. D

    Laws of equivalence

    Use equivalence laws to show that (A ∨ C) ∧ (B ∨ C) ∧ (A ∨ D) ∧ (B ∨ D) and (A ∧ B) ∨ (C ∧ D) are logically equivalent. I am trying to figure out how to go about this problem. The part that confuses me is that there are 4 separate terms. How would you apply the laws on that?
  2. S

    de-Morgan laws

    My teacher ask me: "what is the base of de-Morgan law?" What I should answer him?
  3. R

    Exponent laws

    If anyone is interested, here is a lesson I made on exponent laws with examples. Please leave a comment if you have any question. C4xFZpW0KFk
  4. P

    Not sure if index laws or log laws

    Ok so I have another question - I'm struggling to get log laws and need to understand what's happening that I'm not grasping Express y in terms of x x=4(3^y) + 3^y - 3^(y+log_3x) So my thought was to take 4 over to the left so it becomes x/4 = 3^y + 3^y - 3(^y+log_3x) Then multiply out...
  5. P

    Echo.

    Echo - Reflection of sound. Do you feel echo will be always more in a closed area than a open area? Examples : Open Area - Valley. Closed Area - Well. Can we deduce laws of echo ? Thanks & Regards, Prashant S Akerkar
  6. P

    Equilibrium

    What is the SI unit of Equilibrium? Is Equilibrium scalar or vector quantity? Can we define laws of Equilibrium similar to law of inertia or Newton's laws of motion? Thanks & Regards, Prashant S Akerkar
  7. C

    Applying laws of logarithms and relations

    Hey, I'm stumped on the second part of a question that asks: Here's my simplification: I'm unsure if I took it too far, however I don't understand the second part of the question. How would they be related? Any and all help would be great, thanks.
  8. E

    Laws of indices, problem

    Hi. I have recently started to look at laws of indices (basic I know). I understand the laws and can work out basic bits, like 4^-2, (x^2)^3, 25^-1/2. However, when it becomes more complicated I am finding it difficult. Here is an example of a tough one, my workings out and my answer (which...
  9. A

    Laws Of Logic

    Use the laws of logic to prove that ¬(p∧ q) ∨ (¬p∧ q)== ¬p V ¬q Any Help would really be appreciated. Thanks
  10. D

    Using Newton's laws etc. pulley type.

    Consider a situation where there is a particle1 which has mass 6kg. The particle is momentarily at rest at an angle of 42 degrees above the horizontal. The particle is then connected by an inextensible, light string to another particle 2 with mass of 3.5kg. Now, this string then goes over...
  11. X

    Deriving Equations for Laws of Motion

    Guys I am trying to teach myself calculus, and I have stumbled across these manuals my dad had and there are a few problem series that I need help with. Any suggestions or direction to help outside the forum is appreciated. 1) Suppose a body "A" does not begin at rest, but instead starts with...
  12. W

    Laws of Algebra, Set Theory problem

    Anyone know how to do this question? Im stuck at (A n B) n (A n Bc) after using demorgan's law. TIA-
  13. W

    monotonic laws for ordinal subtraction

    I have to prove some monotonic laws for ordinals. It's quite comfortable for me to show monotonic laws of ordinal addition (e.g. $\beta\leq\gamma\Rightarrow\alpha+\beta\leq\alpha+\gamma$). But when it comes to laws with subtraction, then I'm not sure where to start. Maybe it's because of...
  14. hyperbola

    Newton's Laws: Question 2

    An exceptional standing jump would raise a person 0.80m off the ground. To do this, what force must a 68kg person exert against the ground? Assume the person crouches a distance of 0.20m prior to jumping and thus the upward force has this distance to act over before he leaves the ground...
  15. hyperbola

    Newton's Laws: Question 1

    Again just looking for feedback. Thanks in advance. I've included diagrams for assessment too. A rocket of mass 2.75\times 10^6kg exerts a vertical force of 3.55\times 10^7N on the gases it expels. Determine: a) the rocket's acceleration b)it's velocity after 8s c) time taken to reach...
  16. hyperbola

    Kinematics and Newton's Laws

    Looking for feedback in the quest to really understand kinematics :) A train with mass 3.6\times{10^5}kg travels with a velocity of 120km/h = 33\frac{1}{3}m/s. Superman needs to stop the train in 150m. How much force does Superman need to exert? 1) Calculate train's decelration v_x^2 =...
  17. 3

    Fundamental Laws and Precedence - John Bird

    Hi Guys, I'm currently working through John Birds Engineering Mathematics Edition 5 and I cant seem to simplify question 9 Exercise 21. I've tried several times but don't seem to be having any luck, it would be greatly appreciated if somebody could give me a little guidance. :) I have...
  18. D

    Potency laws with fractions?

    I know that if you have: 64^(2/3) = (64^(1/3)^2 = 4^2 = 16 But what if you have: 9^(3/2)? How do you begin to count this? I have one idea but it seems like it's wrong. 9^(3/2) = 9^(1/2)^2 = 3^2 = 9 So how do you count this?
  19. B

    Exponent laws

    Tell me if you need help with any exponent laws!
  20. T

    I need help solving an oblique triangle with the laws of sin

    I need help solving this please, it's a sort of like a project that my partner and I need to orally present in front of the class and we both can't figure it out, We need to show all work by memory and we really need help, we must use the laws of sine and cosine. Thank You for your help! So...