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Thread: VCE Maths questions help

  1. #426
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    Re: VCE Maths questions help

    The probability that Ari eats ice cream is 0.6
    The probability that Barry eats ice cream is 0.8
    The probability that Chris eats ice cream is 0.7

    What is the probability that Chris Sticks to the diet?
    Does this question imply that only chris to the diet and ari and barry don't stick to the diet
    or does it imply that chris sticks to the diet regardless of whether Barry and Ari stick to the diet?
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  2. #427
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    Re: VCE Maths questions help

    To find the rate of change of the function y = x^2 at the point (3,10)
    Would it be y = 2x,
    y = 2(3)
    y = 6
    is this correct?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    To find the rate of change of the function y = x^2 at the point (3,10)
    Would it be y = 2x,
    y = 2(3)
    y = 6
    is this correct?
    Yes however it is y' or dy/dx not y
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    Re: VCE Maths questions help

    Quote Originally Posted by pikachu975 View Post
    Yes however it is y' or dy/dx not y
    Thanks pikachu975
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    Re: VCE Maths questions help

    if f(x) = 2x^2 + 3x, lim h → 0 (f(x+h) - f(x))/h =
    What exactly is this question asking?
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    Re: VCE Maths questions help

    How are you meant to know whether a question asking you to find a sin value, for example, sin 225, is asking for the value in degrees or radians?
    Would the same apply for cos and tan?
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    Re: VCE Maths questions help

    The area of a bushfire, A hectares, t hours after the fire has started is modeled by the rule A = 90t^2 - 3t^3, t > 0
    After how many hours does the fire go out
    A = 0
    90t^2 - 3t^3 = 0
    t = 0 and 30

    Which answer do i choose? 0 hours or 30 hours?
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    Re: VCE Maths questions help

    When stating the domain and range, how do you know whether to put ( or [
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    Re: VCE Maths questions help

    Bump
    Any help would be appreciated
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    Re: VCE Maths questions help

    The probability that a goldfish survives 1 month in a home where there is no cat is 0.9, whereas the probability that a goldfish surviving one month in a home where there is a cat present is 0.3

    There is a 40% chance of selecting a home in which a cat is present

    What is the probability of a goldfish surviving 2 months in a home where there is a cat present?

    Already tried this question, checked the answer but got it wrong
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    Re: VCE Maths questions help

    Is a limit not well behaved only if the denominator = 0, or also if the numerator = 0 ?
    Thanks
    Have an exam tomorrow
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    Re: VCE Maths questions help

    Do sin, cos and tan graphs have asymptotes?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Is a limit not well behaved only if the denominator = 0, or also if the numerator = 0 ?
    Thanks
    Have an exam tomorrow
    What do you mean by not well behaved?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Do sin, cos and tan graphs have asymptotes?
    Only tan graphs have asymptotes,

    y = tan(x) has asymptotes at x = pi/2 + k.pi (where k is an integer)
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    if f(x) = 2x^2 + 3x, lim h → 0 (f(x+h) - f(x))/h =
    What exactly is this question asking?
    This question is asking you to differentiate f(x) through first principles.
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    How are you meant to know whether a question asking you to find a sin value, for example, sin 225, is asking for the value in degrees or radians?
    Would the same apply for cos and tan?
    The value of sin(225) is neither in degrees nor radians.
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    The area of a bushfire, A hectares, t hours after the fire has started is modeled by the rule A = 90t^2 - 3t^3, t > 0
    After how many hours does the fire go out
    A = 0
    90t^2 - 3t^3 = 0
    t = 0 and 30

    Which answer do i choose? 0 hours or 30 hours?
    t = 30, t = 0 is the start of the bushfire.
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    When stating the domain and range, how do you know whether to put ( or [
    Using ) or ( means greater than / less than.
    Using ] or [ means greater than or equal / less than or equal.
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Is "nor" the same as "and" in probability?
    Anyone?
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    Re: VCE Maths questions help

    how do you find the value of cos (-120)?
    Urgent, please please help
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    how do you find the value of cos (-120)?
    Urgent, please please help
    cos(-120) = cos(120) = -cos(60) = -1/2

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    Re: VCE Maths questions help

    Quote Originally Posted by 1729 View Post
    cos(-120) = cos(120) = -cos(60) = -1/2
    thanks
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    Re: VCE Maths questions help

    What is the difference between a general solution and solving for a specified domain in trig equations?
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    What is the difference between a general solution and solving for a specified domain in trig equations?
    Also, can someone please explain how to find the general solution to the following equations.
    Cos 2(x+pi/3) = 1/2

    2 tan 2(x+pi/4) = 2√(3)

    2 sin(x+pi/3) = -1

    Thanks

    Silly question, but is
    sin 2(x+pi/3) the same as sin(2x+2pi/3)
    Last edited by boredsatan; 17 Jan 2018 at 7:40 PM.
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    Re: VCE Maths questions help

    Quote Originally Posted by boredsatan View Post
    Also, can someone please explain how to find the general solution to the following equations.
    Cos 2(x+pi/3) = 1/2

    2 tan 2(x+pi/4) = 2√(3)

    2 sin(x+pi/3) = -1

    Thanks

    Silly question, but is
    sin 2(x+pi/3) the same as sin(2x+2pi/3)
    Answer to your last question: yes.

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