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VenomousLemon

VenomousLemon

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Admin | Content From A lemon orchard somewhere
VenomousLemon
VenomousLemon
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  • ItzMarni
    Day 50!

    A cylindrical tank has a radius of 5 meters and a height of 10 meters. It is initially empty. Each day, the tank is filled with water at a constant rate of 0.5 cubic meters per hour. At the same time, water is drained from the tank at a rate of 0.3 cubic meters per hour. Can the tank ever be completely filled, or will it always be partially empty? If it can be filled, how long will it take to fill the tank?
    ItzMarni
    ItzMarni
    The end, of this one at-least, See y'all later ;)
    dosah
    dosah
    the end of something special
    RohanSharma_XAY
    RohanSharma_XAY
    heheehahu season 2
    ItzMarni
    Due to some unfortunate circumstances I've had to continue this in Venoms DMS, now I can continue here.. Even though there's not much remaining

    Day 49 of commenting complex math but it gets harder each day

    Solve for x:
    log(base 2)(x^2 - 3x) > 0
    Mr_DagALkeef_B7
    It's time to spam your profile with complex math and getting me forum banned LMAO jk <3
    ItzMarni
    ItzMarni
    Hey hey hey, it wasn't even because of this I added all staff (50) to a convo on forums, someone got depressed and banned me bcuz of it :(
    Mr_DagALkeef_B7
    Mr_DagALkeef_B7
    Oh, I thought due to spam lol. Welcome back :)
    Seoaz
    Day 18 of commenting complex math but it gets harder each day

    Find the magnitude and direction (in degrees) of the vector:
    v = <3, 4>
    ItzMarni
    Day 17 of commenting complex math but it gets harder each day

    Solve the differential equation:
    dy/dx = 2x^2 + 3x, given that y(0) = 1.
    ItzMarni
    Day 16 of commenting complex math but it gets harder each day

    Determine the cross product of the vectors:
    a = <1, 3, -2>
    b = <2, -1, 4>
    ItzMarni
    Day 15 of commenting complex math but it gets harder each day

    Evaluate the double integral:
    ∬(2xy + 3) dA, where the region R is bounded by x = 0, x = 1, y = 0, and y = 2.
    ItzMarni
    Day 14 of commenting complex math but it gets harder each day

    Find the Maclaurin series expansion of the function:
    f(x) = sin(x)
    VenomousLemon
    VenomousLemon
    At this point i have no clue what any of that means
    dosah
    dosah
    the answer is clearly ᲼
    ItzMarni
    Day 12 of commenting complex math but it gets harder each day

    Determine the eigenvalues and eigenvectors of the matrix:
    | 4 -1 |
    | |
    | 2 3 |
    Seoaz
    Isn't math so fun... Like a puzzle, right? Don't you like puzzles? Mrs Venemous Lememous Man.. I've heard you love puzzles, especially ones about a myth called The Braincell Man. ;D
    ItzMarni
    Day 11 of commenting complex math but it gets harder each day

    Solve the system of equations:
    3x + 2y = 7
    x - y = 1
    terryZ_
    terryZ_
    Equation 1 (E1) = 3x + 2y = 7
    Equation 2 (E2) = x - y = 1
    E2 * 2 = 2x - 2y = 2
    Add LHS and RHS of E1 and E2 * 2
    3x + 2x + 2y - 2y = 7 + 2
    5x = 9
    x = 9/5
    Put back into E2
    9/5 - y = 1
    9/5 - 1 = y
    9/5 - 5/5 = y
    y = 4/5
    Therefore, x = 9/5, y = 4/5
    ItzMarni
    Day 10 of commenting complex math but it gets harder each day (ggs, I haven't forgotten yet...)

    Find the value of t that satisfies the equation:
    2^(3t) = 8^(t + 1)
    VenomousLemon
    VenomousLemon
    Congrats you made it to day 10 have a cookie
    ItzMarni
    ItzMarni
    Ikr, I haven't forgotten... yet-
    terryZ_
    terryZ_
    2^(3t) is the same as 2^(3)^(t), which is 8^(t)
    Therefore your equation would give 8^(t) = 8^(t + 1)
    t = t + 1
    Either no solution, or typo in question
    ItzMarni
    Day 9 of commenting complex math but it gets harder each day

    Evaluate the following limit:
    lim(x -> 0) [sin(x) / x]
    terryZ_
    terryZ_
    L'Hopital's rule
    lim(x->0) f(x)/g(x) = lim(x->0) f'(x)/g'(x)
    therefore lim(x -> 0) [sin(x) / x]
    = lim(x -> 0) [cos(x) / 1]
    = cos(0) / 1
    = 1
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