Recent content by paulmdrdo1

  1. paulmdrdo1

    MHB Why Do Circuit A and Circuit B Show Different Current and Voltage Behaviors?

    as you can see In the image I provided I have derived the equation for i(t) and v(t). On circuit A I use a passive sign convention(current flowing from positive to negative) on the inductor, hence the equation and their corresponding graph. i(t) is decaying exponentially, v(t) is decaying...
  2. paulmdrdo1

    MHB Cos Trig Identity: Deriving Formula for Circuits Analysis

    Hello. Do you guys know if there is an identity related to this expression \cos(A+B)\cos(A+C) If so, can you help me how to derive it? I need it for the derivation of the formula from my circuits analysis course. Thanks.
  3. paulmdrdo1

    MHB Factoring Algebraic Expression

    Where is the complete solution to this problem? Anyone?
  4. paulmdrdo1

    MHB Solving the Dilemma: Taking 2 Different Pills Every Day

    We have 4 pills in total. Splitting each pill into half we will have 4 half B pills and 4 half A pills. Since we don't know which is which, there is a posibility that you might take 3 half pills B and 1 half pill A or 3 half pills A and 1 half pill B or 4 half pills B or 4 half Pills A.
  5. paulmdrdo1

    MHB Solving the Dilemma: Taking 2 Different Pills Every Day

    The doctor told you to take 2 different kind of pills (Pill A, Pill B) for ten days everyday. Both pills look exactly the same (same weight, color, shape, size, etc…;). If you take more than 1 pill of the same kind per day, you will die. Furthermore, if you do not take 1 Pill A, and 1 Pill B...
  6. paulmdrdo1

    MHB What is the factorization of $30x^4-41x^3y-129x^2y^2+100xy^3+150y^4$?

    I'm still not sure how to continue from there. Do I need to use rational roots theorem? And What do you call that method? Does this always work on the polynomials that has the same form I posted?
  7. paulmdrdo1

    MHB How can I factor a polynomial without using the rational root theorem?

    What technique did you use to determine the pair of numbers to be used to rewrite the expression? Was it by trial and error?
  8. paulmdrdo1

    MHB What is the factorization of $30x^4-41x^3y-129x^2y^2+100xy^3+150y^4$?

    Factor $30x^4-41x^3y-129x^2y^2+100xy^3+150y^4$. Please help me get started. I tried grouping the terms but still can't see any factorization that is familiar to me. Thanks.
  9. paulmdrdo1

    MHB How can I factor a polynomial without using the rational root theorem?

    I'm just curious as to how to go about factoring a polynomial like this one $6x^4+17x^3-24x^2-53x+30$ without using rational root theorem? Thanks
  10. paulmdrdo1

    MHB Squaring and Cubing Equations: Explained!

    Can you explain the part of the solution where v2/v1 = a2/a1were being squared and cubed repectively? Thanks!
  11. paulmdrdo1

    MHB How Many 3-Digit Even Numbers Can Be Formed from Digits 0-6 Without Repetition?

    hello greg! Can you pin point what I did wrong in my attempt? what I did in my solution was, after putting 0 in the units digit, I counted the possible choices for tens digit first rather than hundreds digit. Thus giving me 6 choices for the tens place as I omit 0. And 5 choices for hundreds...
  12. paulmdrdo1

    MHB How Many 3-Digit Even Numbers Can Be Formed from Digits 0-6 Without Repetition?

    Arent we suppose to go from units to hundreds digit?
  13. paulmdrdo1

    MHB How Many 3-Digit Even Numbers Can Be Formed from Digits 0-6 Without Repetition?

    How many 3 digit even numbers can be formed from 0, 1, 2, 3, 4, 5 and 6 with no repetition? My attempt: $\frac{5}{H} \times \frac{6}{T} \frac{0}{U} = $ 30 numbers ending with zero not including two digit numbers starting with zero$\frac{4}{H} \times \frac{6}{T} \frac{2}{U} = $ 24 numbers...
  14. paulmdrdo1

    MHB Mechanical Part Defects in Lot of 500 Pieces

    A certain mechanical part of a machine can be defective because it has one or more out of three possible defects: insufficient tensile strength, a burr or a diameter outside of tolerance limits. In a lot of 500 pieces 19 have tensile strength defect, 17 have a burr, 11...
  15. paulmdrdo1

    MHB Factoring Polynomials: A Faster Way!

    Hello! From what I understand when you know the roots of a certain polynomial we can use those roots to get the factored form a that polynomial. Is the expression \left(x+\frac{5}{6}\right)\left(x-\frac{27}{16}\right) equivalent to $96x^2-82x-135$? And if it is how do we transform it to...
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